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<h2>SL Paper 1</h2><div class="specification">
<p>In the Canadian city of Ottawa:</p>
<p><span class="mjpage mjpage__block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="\begin{array}{*{20}{l}} {{\text{97% of the population speak English,}}} \\ {{\text{38% of the population speak French,}}} \\ {{\text{36% of the population speak both English and French.}}} \end{array}">
<mtable columnalign="left" rowspacing="4pt" columnspacing="1em">
<mtr>
<mtd>
<mrow>
<mrow>
<mtext>97% of the population speak English,</mtext>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mrow>
<mtext>38% of the population speak French,</mtext>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mrow>
<mtext>36% of the population speak both English and French.</mtext>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable>
</math></span></p>
</div>
<div class="specification">
<p>The total population of Ottawa is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="985\,000">
<mn>985</mn>
<mspace width="thinmathspace"></mspace>
<mn>000</mn>
</math></span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the percentage of the population of Ottawa that speak English but not French.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the number of people in Ottawa that speak both English and French.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down your answer to part (b) in the form <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a \times {10^k}">
<mi>a</mi>
<mo>×</mo>
<mrow>
<msup>
<mn>10</mn>
<mi>k</mi>
</msup>
</mrow>
</math></span> where <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 \leqslant a < 10">
<mn>1</mn>
<mo>⩽</mo>
<mi>a</mi>
<mo><</mo>
<mn>10</mn>
</math></span> and <em>k </em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" \in \mathbb{Z}">
<mo>∈</mo>
<mrow>
<mi mathvariant="double-struck">Z</mi>
</mrow>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The following table shows the probability distribution of a discrete random variable <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
<mi>A</mi>
</math></span>, in terms of an angle <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\theta ">
<mi>θ<!-- θ --></mi>
</math></span>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-11_om_09.10.36.png" alt="M17/5/MATME/SP1/ENG/TZ1/10"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\cos \theta = \frac{3}{4}"> <mi>cos</mi> <mo></mo> <mi>θ</mi> <mo>=</mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> </math></span>.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Given that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\tan \theta > 0"> <mi>tan</mi> <mo></mo> <mi>θ</mi> <mo>></mo> <mn>0</mn> </math></span>, find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\tan \theta "> <mi>tan</mi> <mo></mo> <mi>θ</mi> </math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y = \frac{1}{{\cos x}}"> <mi>y</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mi>cos</mi> <mo></mo> <mi>x</mi> </mrow> </mfrac> </math></span>, for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0 < x < \frac{\pi }{2}"> <mn>0</mn> <mo><</mo> <mi>x</mi> <mo><</mo> <mfrac> <mi>π</mi> <mn>2</mn> </mfrac> </math></span>. The graph of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y"> <mi>y</mi> </math></span>between <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x = \theta "> <mi>x</mi> <mo>=</mo> <mi>θ</mi> </math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x = \frac{\pi }{4}"> <mi>x</mi> <mo>=</mo> <mfrac> <mi>π</mi> <mn>4</mn> </mfrac> </math></span> is rotated 360° about the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x"> <mi>x</mi> </math></span>-axis. Find the volume of the solid formed.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Anne-Marie planted four sunflowers in order of height, from shortest to tallest.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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"></p>
<p>Flower <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>C</mtext></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32</mn><mo> </mo><mtext>cm</mtext></math> tall.</p>
<p>The median height of the flowers is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn><mo> </mo><mtext>cm</mtext></math>.</p>
</div>
<div class="specification">
<p>The range of the heights is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>50</mn><mo> </mo><mtext>cm</mtext></math>. The height of Flower <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo> </mo><mtext>cm</mtext></math> and the height of Flower <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>D</mtext></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo> </mo><mtext>cm</mtext></math>.</p>
</div>
<div class="specification">
<p>The mean height of the flowers is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>27</mn><mo> </mo><mtext>cm</mtext></math>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the height of Flower null.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using this information, write down an equation in <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down a second equation in <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using your answers to <strong>parts (b)</strong> and <strong>(c)</strong>, find the height of Flower <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using your answers to <strong>parts (b)</strong> and <strong>(c)</strong>, find the height of Flower <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>D</mtext></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>In a class of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn></math> students, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>19</mn></math> play tennis, <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math> play both tennis and volleyball, and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math> do not play either sport.</p>
<p>The following Venn diagram shows the events “plays tennis” and “plays volleyball”. The values <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi></math> represent numbers of students.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a randomly selected student from the class plays tennis or volleyball, but not both.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Each athlete on a running team recorded the distance (<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi></math> miles) they ran in <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn></math> minutes.</p>
<p>The median distance is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math> miles and the interquartile range is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mn>1</mn></math> miles.</p>
<p>This information is shown in the following box-and-whisker plot.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>The distance in miles, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi></math>, can be converted to the distance in kilometres, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>K</mi></math>, using the formula <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>K</mi><mo>=</mo><mfrac><mn>8</mn><mn>5</mn></mfrac><mi>M</mi></math>.</p>
</div>
<div class="specification">
<p>The variance of the distances run by the athletes is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>16</mn><mn>9</mn></mfrac><mo> </mo><msup><mtext>km</mtext><mn>2</mn></msup></math>.</p>
<p>The standard deviation of the distances is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math> miles.</p>
</div>
<div class="specification">
<p>A total of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>600</mn></math> athletes from different teams compete in a <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo> </mo><mtext>km</mtext></math> race. The times the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>600</mn></math> athletes took to run the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo> </mo><mtext>km</mtext></math> race are shown in the following cumulative frequency graph.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAjoAAAJkCAYAAAAYzItHAAAgAElEQVR4Aey9j5Pd1XXlO/9Jq2iPakQZmx92PYqJUUERj6xKZB4V64GpxM4IbEPA9rgGPEECgn/EFo9ItiyjGB6RHOA5JnYae4ydIL90/KIoWJ5mBDNx8ToJGRuhngeRHD3FyETq3q/W7f62bt977l1L0uqj723tU9V099271/6cdc75anN//qvIkQ6kA+lAOpAOpAPpwAp14F+t0HnltNKBdCAdSAfSgXQgHYhsdHITpAPpQDqQDqQD6cCKdSAbnRW7tDmxdCAdSAfSgXQgHchGJ/dAOpAOpAPpQDqQDqxYB7LRWbFLmxNLB9KBdCAdSAfSgWx0cg+kA+lAOpAOpAPpwIp1IBudFbu0ObF0IB1IB9KBdCAdyEYn90A6kA6kA+lAOpAOrFgHstFZsUubE0sH0oF0IB1IB9KBbHQq7IHN99wTux7eVaFSlkgH0oF0IB1IB9KBbgey0el2Yxl+3r9/f4yPrep8TU9PL0OFlEwH0oF0IB1IB9KBQQ5kozPIGcPtb7zxRlyzdm2nyXni8cfjxo0bA7flSAfSgXQgHUgH0oE6DmSjs4w+P7h1a9x+222dRgcNDhodNDw50oF0IB1IB9KBdKCOA9noLJPPeJgKD1k131Hm4MGDndsOHTq0TFVTNh1IB9KBdCAdSAe6HchGp9sN08+9996g4WlGcy9P83t+TwfSgXQgHUgH0oHlcyAbnWXwtvf5ON2NTvO8nb179y5D5ZRMB9KBdCAdSAfSgW4HstHpdsP0M5qY7ldYdTc6KIGHsPCVIx1IB9KBdCAdSAeW14FsdJbX3456b6NToWSWSAfSgXQgHUgH0oGIyEanwjbIRqeCyVkiHUgH0oF0IB0oOJCNTsEU903Z6LgdTb10IB1IB9KBdEBzIBsdzadzyspG55zsyz9OB9KBdCAdSAfO2oFsdM7aOv0Ps9HRvcrMdCAdSAfSgXTA6UA2Ok43B2hlozPAmLw5HUgH0oF0IB1YZgey0VlmgyGfjU4Fk7NEOpAOpAPpQDpQcGCFNzpvxszU9+JPtt0Sl4ytiks2T8axRRMQezK2rLs4xseujFu/uD9mZheDiz/MzhyIxzdv6DQrl2zaFT+aeXMxpv6QjY7qVOalA+lAOpAOpANeB1ZuozM7Ez/64i1xyZpbYvs3fxDTx7u7mNk4PrUj1q/7TEyicZl9NSbvuyHWbzsQx7v9PX4gtq+7Ie6ffDVm482YmfxMrF+3I6aWaHX/QfnnbHTKvuSt6UA6kA6kA+nAcjuwQhudn8XUthti4D0wsy/Fng3XxZbJ10/7e2wytqy5OfZMn1i47URM7765516g12Ny83Vx/e6XorttOi1S/ikbnbIveWs6kA6kA+lAOrDcDqzARmfh3po1H4+nXy0/zDQ7vTuuH+tuamBzTxPTaYYu62lqZuPY5H1xyYbdMX0GnU42Osu9jVM/HUgH0oF0IB0oO7DyGp2FBmX95scWn5szjoevvj+98LDU/D0142vui8lj3d0KGp2rY3yhiZlvhq5eeq9PLDQ6fU1S2dzm1mx0GifyezqQDqQD6UA6UNeBFdfozDcoG2LLHx5YeHLxsXhp90fikrEbYvvUzxbuuTnd0Jy2u7vRGdTQDLr9tErpp2x0Sq7kbelAOpAOpAPpwPI7sMIanYVGpPfems69PBcv3FvT3dB0G9x9+6CGpnw7Ghn29Qe7H4/8Sg9yD+QeyD2Qe+Bc98CXdv5+3H33b8dNN74/8PO56ql/3/0v5ij9vMIanUEPS3Xf/vPOk4zb9tDVf/7O9+i+YTksjgJKDjb9sKFoOHIUDcaqzFmp48hxsNacD+N1eOKaD2N11XHM2cFacz6M1+GJaz6M1VXHMeczZT1y5Ejs3bs3br/tts7/WF+zdm3senhXfO2PnsK0Bg4HK8QV3oEQ5zmwwhqd8j0uEQuNTvfzb4r3+nQ9+bj0yqweHXXtlIeuHJvRoaFsaFcdpsPiCitymA6LKxpKjnKhcLA4NBRvXXWYDosrrMr6KHUcObkPsBr9g3nL4lB0eKvUceQorGhiSs3NwYMHFw1kLCwOISVH4V2EatkPK6zRiYjOy8SvjNsmftL1EnA8LNX1svBSE3OeX16ubDSWw+KuDe2qw3RYHPNRDh/TYXHVN6bjYFVYGIeioXjrqsN0WFxhVeas1HHk5D7AavQP5i2LQ9HhrVLHkTOI9Y033qDNTbd7jIXFoaXkDOLtZmnrzyuv0Yk349WJj8claz4Se17C+yC/GTMHdsWtG7rf6K99bxiobDSWw+KuDe2qw3RYHPNRDh/TYXHVN6bjYFVYGIeioXjrqsN0WFxhVeas1HHk5D7AavQP5i2LQ9HhrVLHkdPLun///nhw69YlD0t9aefD/Ub13MJYWBxySk4vbw9Gq39dgY0O/D4W09/fEbeuwZOEL471m5+Mqb6PblhogDo53a/SWrpeszP7Y8emK4foLM0v/ZYPXZVc4YfLdfiYDouD3pGjXCgcdRwamDPjddVhOiyusCprqNRx5DBfFVYlx8GqeOuqw3RYXGGt6RvjxT44dOhQ53k2eL4N/p1Ao4OGpxlMo+Z8lH3bcLft+wptdNplczY65fVgh5jFoaocPqbD4qjjyHGwKiwOVsVbVx2mw+IKa03fGG/uA6xG/2C+sTgUHd4qdc4lp3lo6l3/9l2d5gZPLsbzcHB77ziXOo2WQ0P1tqnZtu/Z6FRYkWx0yiazA8jiUB2FC1szewcrtJgvLK5oKN666jAdFldYlTkrdRw5uQ+wGv2DecviUHR4q9Q5m5zp6enOvTf49wD34PzmBzd17tHpd+L0LWdT5/Rfz//k0ICS4m1v7bb8no1OhZXIRqdsMjuALA5V5fAxHRZHHUeOg1VhcbAq3rrqMB0WV1hr+sZ4cx9gNfoH843FoejwVqmj5uBeGjwUdePGjZ17bzbfc8/iQ1MOVsyZsbC4oqF6i7w2jmx0KqwKGh1stlH5wgFMVv96jZKvWP9R4k1W/35trgHp7Zl7i5eF33HHR+Mdl1/R+cLPX/3qE0uuq6Pka3M9qPDP5bKUyEZnWWxdKpr36Cz1o/kNh2fYYHH8LS4WbDAdFoe+I8fBqrA4WFGH8brqMB0WV1hr+sZ4ma8Kq5LDOBQN5DBeVx2mw+IKqzJnpc6gHDw8hXttcM2/9pprBz73xsW63POBfjPYPmjy2vg9G50Kq5KNTtnkQReLJpvFkaccPqbD4qjjyHGwKiwOVsVbVx2mw+IKa03fGG/uA6xG/2C+sTgUHd4qdXpzeh+ewhv69eb0ztjBCk1Wh8UVDdXb3jm25fdsdCqsRDY6ZZPZAWRxqDouFkodR46DFXNmLCyuaCjeuuowHRZXWJU5K3UcObkPsBr9g3nL4lB0eKvUQU7z6qnm+Tf4OAa8XLwZTMfBilqsDosrGshReJu5t+17NjoVViQbnbLJ7ACyOFSVw8d0WBx1HDkOVoXFwap466rDdFhcYa3pG+PNfYDV6B/MNxaHosNbVgcNzr333t955RRePfXE448HPoeqdzAdBytqsjosrmggR+Ht9aAtv2ejU2ElstEpm8wOIItDVTl8TIfFUceR42BVWBysireuOkyHxRXWmr4x3twHWI3+wXxjcSg6vB1UBw3O0xMTnQYHTzLGz7ht0Bik0+Q7WKHF6rC4ooEchbeZW9u+Z6NTYUWy0SmbzA4gi0NVOXxMh8VRx5HjYFVYHKyKt646TIfFFdaavjHe3AdYjf7BfGNxKDq87a3T3eDgHhw0ON/8k2/1T6Dnll6dnrCFFZqsDosrGshRvO2dY1t+z0anwkpko1M2mR1AFoeqcviYDoujjiPHwaqwOFgVb111mA6LK6w1fWO8uQ+wGv2D+cbiUHR429QpNTjNPThNTv8sTt/CchysqMbqsLiigRyF9/Ts2/VTNjoV1iMbnbLJ7ACyOFSVw8d0WBx1HDkOVoXFwap466rDdFhcYa3pG+PNfYDV6B/MNxaHosNb1GkeomruwWkanIZaYWE5DlbwsDosrmio3jb+tO17NjoVVgSNDjbbqHzhACarf71GyVes/yjxJqt/vzbXgAvJ24ce2t55/xs8BwdPOMZDVI0P7u+j5GtzPajwz+WylMhGZ1lsXSqa9+gs9aP5DYdn2GBx/C0uFmwwHRaHviPHwaqwOFhRh/G66jAdFldYa/rGeJmvCquSwzgUDeQwXlcdpsPiCuugOeON/vDhmrhW412MS6+iwt82Q2FhOcxX1GIaSo5DA3UU3saftn3PRqfCimSjUzaZHUAWh6py+JgOi6OOI8fBqrA4WBVvXXWYDosrrDV9Y7y5D7Aa/YP5xuJQPFNv0dA8uHXr4udQ4XeljiPnTFn7HZu/hbGwOFSUHIV3EOP5vj0bnQorkI1O2WR2uFgcqsrhYzosjjqOHAerwuJgVbx11WE6LK6w1vSN8eY+wGr0D+Ybi0NR9bZ5ojGuzXjDP9yj0wyljiNHZW24Bn1nLCwOXSVH4R3EeL5vz0anwgpko1M2mR0uFoeqcviYDoujjiPHwaqwOFgVb111mA6LK6w1fWO8uQ+wGv2D+cbiUFS8xfNw8CRjfO3du7cPRKnjyFFYHXUcGqq3fWa25IZsdCosRDY6ZZPZAWRxqDouFkodR46DFXNmLCyuaCjeuuowHRZXWJU5K3UcObkPsBr9g3nL4lAc5i0+nqH5wE18XEPvK6kaIqWOI2cYq5PFwcq8bXjb+j0bnQork41O2WR2AFkcqo6LhVLHkeNgxZwZC4srGoq3rjpMh8UVVmXOSh1HTu4DrEb/YN6yOBRL3nY/TIUnHH/1q0/0F++6RanjyCmxdmF0fnTUcWgARuHt5W/L79noVFiJbHTKJrMDyOJQVQ4f02Fx1HHkOFgVFger4q2rDtNhcYW1pm+MN/cBVqN/MN9YHIq93uK5N3gOTvfDVEyHxVHHkdPL2u+Ip46DteRtibett2WjU2Fl0Ohgs43KFw5gsvrXa5R8xfqPEm+y+vdrcw0YRW/x/jebNt3SeTUVvi/n++E0Pp3p91HytbkeVPjncllKZKOzLLYuFc17dJb60fyGwzNssDj+FhcLNpgOi0PfkeNgVVgcrKjDeF11mA6LK6w1fWO8zFeFVclhHIoGchivqw7TYfGG9eDBg4tPNsbPvYPpsDj0HDnMV1cdBytYFN5er9vyezY6FVYiG52yyewAsjhUlcPHdFgcdRw5DlaFxcGqeOuqw3RYXGGt6RvjzX2A1egfzDcWx3Nxbrrx/Z17cc7lycasDsgdOSttH/SvaHtuyUanwlpko1M2mV0sWByqjouFUseR42DFnBkLiysaireuOkyHxRVWZc5KHUdO7gOsRv9g3g6LN/fiXPa2S5e8J05/lXrnZxgvuFbaPih53ZbbstGpsBLZ6JRNZhcCFoeq42Kh1HHkOFgxZ8bC4oqG4q2rDtNhcYVVmbNSx5GT+wCr0T+Yt6U47sV54vHHO/fi4B2Ov/LIH/QL99xS0ulOYXHkOnJW2j7o9rBtP2ejU2FFstEpm8wuFiwOVcfFQqnjyHGwYs6MhcUVDcVbVx2mw+IKqzJnpY4jJ/cBVqN/MG9743hfnOYVVc1zcRze9tbpJ+VnEH/DdBysSh3GoWggR+FFXhtHNjoVViUbnbLJ7ACyOFSVw8d0WBx1HDkOVoXFwap466rDdFhcYa3pG+PNfYDV6B/Mt+443tEY11W8AWD3B3A6vO2u0085f4sjx8EKGsbC4ooGchTeeXfa999sdCqsSTY6ZZPZAWRxqCqHj+mwOOo4chysCouDVfHWVYfpsLjCWtM3xpv7AKvRP5hviOOhqubdjZ+emOgTcXjLOFDUkeNgVVgcrKij8PYtSEtuyEanwkJko1M2mR1AFoeqcviYDoujjiPHwaqwOFgVb111mA6LK6w1fWO8uQ+wGv2D+fbIo491XjaOh6vwsFVpOLxlHKjryHGwKiwOVtRReEtr0obbstGpsApodLDZRuULGzpZ/es1Sr5i/UeJN1n9+7W5BrTB289+9nPSm/+1gbXxjX0fJdbmelDhn8tlKZGNzrLYulQ079FZ6kfzGw7PsMHi+FtcLNhgOiwOfUeOg1VhcbCiDuN11WE6LK6w1vSN8TJfFVYlh3EoGshhvK46JR08VIVXU+EaimaHDcaqzLnE0VvXkeNgrTkfhbfXp7b8no1OhZXIRqdsMrtYsDhUlcPHdFgcdRw5DlaFxcGqeOuqw3RYXGGt6RvjzX2A1egfvb7h4Sl8CCc+pwqfWdUb71fI60HJE8U3JUfZt6X6bbgtG50Kq5CNTtlkdrhYHKrK4WM6LI46jhwHq8LiYFW8ddVhOiyusNb0jfHmPsBq9I9u35o3AESjg3t1MLrj/X89f4vDW6WOI8fBqvjiYEUdhXfQupzv27PRqbAC2eiUTWYHkMWhqhw+psPiqOPIcbAqLA5WxVtXHabD4gprTd8Yb+4DrEb/aHzDq6lwzcTHOHSPJt59W+/PDm+VOo4cByvmz1hYXNFAjsLbux5t+T0bnQorkY1O2WR2AFkcqsrhYzosjjqOHAerwuJgVbx11WE6LK6w1vSN8eY+wGr0D3zCOJobXC/xPjm9g/mKfIe3Sh1HjoMVc2YsLK5oqN4ir40jG50Kq5KNTtlkdgBZHKqOi4VSx5HjYMWcGQuLKxqKt646TIfFFVZlzkodR07uA6zG0oGHp977q+9dfD7O0uj8b4r3Dm+VOo4cByucYSwsrmggR+GdX6n2/TcbnQprko1O2WR2AFkcqsrhYzosjjqOHAerwuJgVbx11WE6LK6w1vSN8eY+wGqcHs1HOVx7zbUD3x8H2cxX5Di8Veo4chysii8OVtVb5LVxZKNTYVWy0SmbzA4gi0PVcbFQ6jhyHKyYM2NhcUVD8dZVh+mwuMKqzFmp48jJfYDVmB9ocvCqKjzpGA9dDRuK9w5vlTqOHAcr/GIsLK5oIEfhHbZ+5zOWjc4yuI/GpvcLmyS/0oPcA7kHcg/M74EtW36nc538zQ9u6nzqePrS/rOxDP9cVpHMRqeCzXmPTtlk9n8aLA5VXBzZYDosDn1HjoNVYXGwog7jddVhOiyusNb0jfEyXxVWJYdxKBrIYbxnU2f//v19r6xiOiyusCpzVuo4cpivCquS42BVvUVeG0c2OhVWJRudssnsALI4VB0XC6WOI8fBijkzFhZXNBRvXXWYDosrrMqclTqOnAt9Hzzx+OPFV1Yxb1k89wEc6B+Kb0qOsm/7q7fjlmx0KqxDNjplk9nhYnGoKoeP6bA46jhyHKwKi4NV8dZVh+mwuMJa0zfGeyHvg+bl47hHp3cw31g890Gvo/O/K74pOcq+LROc/1uz0amwBtnolE1mh4vFoaocPqbD4qjjyHGwKiwOVsVbVx2mw+IKa03fGO+Fug+GNTmu9XF4y9ZPYVVyHKxKHdd8FF7wtHFko1NhVbLRKZvMDiCLQ1U5fEyHxVHHkeNgVVgcrIq3rjpMh8UV1pq+Md4LcR/cccdHO6+uwkc7DBrMNxbPfVB2VvFNyVH2bZng/N+ajU6FNchGp2wyO1wsDlXl8DEdFkcdR46DVWFxsCreuuowHRZXWGv6xngvtH2Ae3LecfkVQ98jx7U+Dm/Z+imsSo6DVanjmo/CC542jmx0KqxKNjplk9kBZHGoKoeP6bA46jhyHKwKi4NV8dZVh+mwuMJa0zfGeyHtAzQ5eJ+cr371CSzB0MF8Y3GIO7xV6jhyHKyYM2NhcUVD9RZ5bRzZ6FRYFTQ62Gyj8oUDmKz+9RolX7H+o8SbrP792lwDztZbPFyFe3LQ5DRay/39bFmXm6ukP0qs4AfvqI5sdCqsXN6jUzYZh2fYYHH8rXL4mA6Lo44jx8GqsDhYFW9ddZgOiyusNX1jvBfCPmjuycE7HyveKznMV2g4vFXqOHIcrC7flPkovOBp48hGp8KqZKNTNpkdLhaHqnL4mA6Lo44jx8GqsDhYFW9ddZgOiyusNX1jvCt9H/Q2OYr3Sg7zNfcBHOgfim9KjrJv+6u345ZsdCqsQzY6ZZPZ4WJxqCqHj+mwOOo4chysCouDVfHWVYfpsLjCWtM3xruS90GpyVG8V3KYr7kP4ED/UHxTcpR921+9Hbdko1NhHbLRKZvMDheLQ1U5fEyHxVHHkeNgVVgcrIq3rjpMh8UV1pq+Md6Vug/Q5OBaV3oJOfPEtT4Obx2synwcrEod13wUXvC0cWSjU2FVstEpm8wOIItDVTl8TIfFUceR42BVWBysireuOkyHxRXWmr4x3pW4D56emOg0OaV3PFa8V3KYr7kP4ED/UHxTcpR921+9Hbdko1NhHbLRKZvMDheLQ1U5fEyHxVHHkeNgVVgcrIq3rjpMh8UV1pq+Md6Vtg8eemj70CZH8V7JYb7mPoAD/UPxTclR9m1/9Xbcko1OhXXIRqdsMjtcLA5V5fAxHRZHHUeOg1VhcbAq3rrqMB0WV1hr+sZ4V9I+aD6FHPfoDBvME9f6OLx1sCrzcbAqdVzzUXiH7YHzGctGp4L72eiUTWYHkMWhqhw+psPiqOPIcbAqLA5WxVtXHabD4gprTd8Y70rZB3jpOK5teL8cNpgnrvVxeOtgVebjYFXquOaj8LJ9cL7i2ehUcB4XA2y2UfnChk5W/3qNkq9Y/1HiTVb/fm2uASVv8SaAeDNANDlNXhu+l1jbwFViGCVW8IN3VEc2OhVWLu/RKZuMwzNssDj+Vjl8TIfFUceR42BVWBysireuOkyHxRXWmr4x3lHfB2+88UbcuHFj3H7bbYGf2XwV75UcpY7DW6WOI8fB6vJNmY/CC542jmx0KqxKNjplk9nhYnGoKoeP6bA46jhyHKwKi4NV8dZVh+mwuMJa0zfGO+r7AA0OGh00OYqvrhzmK+o4vFXqOHIcrIq3DlbVW+S1cWSjU2FVstEpm8wOIItD1XGxUOo4chysmDNjYXFFQ/HWVYfpsLjCqsxZqePIGeV9UHpDQIcnrvVxeFtrPg5Wl2/KnBVe8LRxZKNTYVWy0SmbzA4Xi0NVOXxMh8VRx5HjYFVYHKyKt646TIfFFdaavjHeUd0He/fuLb4hIJuv4r2So9RxeKvUceQ4WF2+KfNReMHTxpGNToVVyUanbDI7XCwOVeXwMR0WRx1HjoNVYXGwKt666jAdFldYa/rGeEdxH+DdjnEdQ7PTO9h8Fe+VHKWOw1uljiPHweryTZmPwtu7N9ryezY6FVYiG52yyexwsThUlcPHdFgcdRw5DlaFxcGqeOuqw3RYXGGt6RvjHbV9sG37jrhm7drAw1alweareK/kKHUc3ip1HDkOVpdvynwU3tL+aMNt2ehUWIVsdMoms8PF4lBVDh/TYXHUceQ4WBUWB6virasO02FxhbWmb4x3lPYBnnD87969rvMKK3hYGmy++BtHjqLh8Fap48hxsCreOlhRR+Et7Y823JaNToVVyEanbDI7gCwOVeXwMR0WRx1HjoNVYXGwKt666jAdFldYa/rGeEdpHzy4dWtc9rZLF19hBR97B5sv8h05iobDW6WOI8fBqnjrYEUdhbd3b7Tl92x0KqwEGh1stlH5woZOVv96jZKvWP9R4k1W/3797Gc/13lezue3PpTXg2W4fo/Snm2uBxX+uVyWEtnoLIutS0XzHp2lfjS/4fAMGyyOv8XFgg2mw+LQd+Q4WBUWByvqMF5XHabD4gprTd8YL/NVYVVyGMcwjenp6cUnHzPec6kDhmYwHRaHDmNFDtNhcUVDyXGwKnVc81F4wdPGkY1OhVXJRqdsMjuALA5V5fAxHRZHHUeOg1VhcbAq3rrqMB0WV1hr+sZ4274P8LwcPPkYD1sp3rL5Kt4rOUodh7dKHUeOg9XlmzIfhRc8bRzZ6FRYlWx0yiazw8XiUFUOH9NhcdRx5DhYFRYHq+Ktqw7TYXGFtaZvjLft+2DzPfcseedjxsvmq3iv5Ch1GKurjsLCchysNeej8IKnjSMbnQqrko1O2WR2IWBxqCqHj+mwOOo4chysCouDVfHWVYfpsLjCWtM3xtvmfdC8KSA+mbwZjJfNV/FeyVHqMFZXHYWF5ThYa85H4QVPG0c2OhVWJRudssnsQsDiUFUOH9NhcdRx5DhYFRYHq+Ktqw7TYXGFtaZvjLet+wDNDa5VT09MwK7FwXjZfCHkyFE0GKvCotRx5DhYa85H4V3cNC37IRudCguSjU7ZZHaxYHGoKoeP6bA46jhyHKwKi4NV8dZVh+mwuMJa0zfG28Z9gOfl4IM68bBV72C8bL6K90qOUoexuuooLCzHwVpzPgoveNo4stGpsCrZ6JRNZhcCFoeqcviYDoujjiPHwaqwOFgVb111mA6LK6w1fWO8bdwHzYd1Np9IDr+awXjZfKHjyFE0GKvCotRx5DhYa85H4W32TNu+Z6NTYUXQ6OBgjMoXNnSy+tdrlHzF+o8Sb7Ke/X790s6HOw9Z4Xvp3Ke3Z+9tyc/mtlHytbkeVPjncllKZKOzLLYuFc17dJb60fyGwzNssDj+FhcLNpgOi0PfkeNgVVgcrKjDeF11mA6LK6w1fWO8zFeFVclhHND45p98a+jnWCGH8Sp1HDmKBmN1+aawsBwHa835KLzgaePIRqfCqmSjUzaZXQhYHKrK4WM6LI46jhwHq8LiYFW8ddVhOiyusNb0jfG2aR9s2nTLkpeSw6fewXjZfKHnyFE0GKvCotRx5DhYa85H4e3dO235feU2OscmY8uaVZ27ZNFojI/dHHumT3T5/mbMTD0ZW9ZdHONjV8atX9wfM7Nd4YUfZ2cOxOObN3R0Ltm0K34082Z/ErklG52yQexiweJQVQ4f02Fx1HHkOFgVFger4q2rDtNhcYW1pm+Mty374ODBg53rGt4FedhgvGy+ivdKjlKHsbrqKCwsx8Facz4KL3jaOFZoo/NmvDrx8bik0+AsNDsbdsf0YqiTsDoAACAASURBVCMzG8endsT6dZ+JSTQus6/G5H03xPptB+J49yodPxDb190Q90++GrPxZsxMfibWr9sRU8cXhbqzB/6cjU7ZGnYhYHGoKoeP6bA46jhyHKwKi4NV8dZVh+mwuMJa0zfG24Z90Lz78V13fRLWDB2Ml80X4o4cRYOxKixKHUeOg7XmfBTeoRvpPAZXZqODBmXDp2Ly2ICGZPal2LPhutgy+fpp6zv3AHXf63MipnffHJdsnoxji1mvx+Tm6+L63S/FAOXFzO4fstHpduP0z+xiweJQUg4f02Fx1HHkOFgVFger4q2rDtNhcYW1pm+Mtw37AB/vgJeT4zk6bDBeNl/FeyVHqcNYXXUUFpbjYK05H4UXPG0cK7DRmY1jk/fFJWMXx/rNj8XTk9NL76WJiNnp3XF930NZPU1Mpxm6rKepWdBecu8QX9ZsdMoesQsBi0NVOXxMh8VRx5HjYFVYHKyKt646TIfFFdaavjHe870Puh+yYqyKt4qGI0fRcHir1HHkOFhr7muFFzxtHCuv0ek0KHjeTfP8HDQ8EzG9+HDT/D0142vu67nHB43O1TG+0MTMN0NXL73XJ5omqvueH76s2eiUPWIXCxaHqnL4mA6Lo44jx8GqsDhYFW9ddZgOiyusNX1jvOdzHzQPWT3x+PyrFRmr4q2i4chRNBzeKnUcOQ7Wmvta4QVPG8fKa3Qal2dnYurbjy082fjiruffLG1omvSI7tsHNTSDbj+tUvopG52SK7x5UC4myuFjOiwOekeOg1VhcbCiDuN11WE6LK6w1vSN8TJfFVYlp8TR+8aApRxodw/Gq2g4chQNxop5MR0WVzSUHAerUsc1H4UXPG0cK7fRadzuPNF4Q5y+B6e7oWmS8L379kENTfn20/ceNfci9X/HJsmv9CD3QO6B87UHPr/1oc493Z/69O/mtSivx2e1B7r/xRyln1d+o4PV6DzRuHkYKh+6YhsUF+Jhw/V/CEyHxcHIWJHDdFhc0VByHKxKHdd8GK+rDtNhcXjCWGv6xngdrGczHzz5GE9C7h6MFbmMV9Fw5CgajPVsfOv2q/lZYWE5Dtaa81F4G3/a9v3CaHQ6z9v54OL76HSef9P7HJ3eJx93fu95ZVYsNEn5ZGS6j9khdx1Q5fAxFhZXWJUcB6tSxzUfxuuqw3RYHJ4w1pq+MV4H65nOB59Ifs3atXHkyBH86eJgrEhkvIqGI0fRYKyYD9NhcUVDyXGwKnVc81F4wdPGcWE0Oscm4/77ul4mXmpi8uXli/uTbWjXwWE6LA5gxoocpsPiioaS42BV6rjmw3hddZgOi8MTxlrTN8brYD2T+aC5QZODZqd3MFbkM15Fw5GjaDDWM/Gt16vu3xUWluNgrTkfhbfbozb9vOIandmZqfjP355afJfj2Zn9sWPztvk3Blx0Pt8wcNGKwg9sQ7MDDElHjqLBWBUWpY4jx8Facz6M1+GJaz6M1VXHMWcH65nMp3nPHPxN71Dmw3gVDUeOosFYMX+mw+KKhpLjYFXquOaj8IKnjWMFNjrfj/s7H+uwKsbX3BLbv/mDrpeWdy/BmzFzYFfc2vmYiA2x5Q8PLDZH3VmdRmnTlTHeeV+eJ2MqPwKCXijgn+NwKRrK4WM6LO6aj4NVYXHNh/G66jAdFocnjLWmb4zXwarOBx/vgBdLDPqYB8aqeKtoOHIUDYe3Sh1HjoNV3QfIGzaU+Si8w2qcz9iKa3TOp5mDaufLy8vOsMPF4lBVDh/TYXHUceQ4WBUWB6virasO02FxhbWmb4y35j4oPQEZXjSDsSKP8SoajhxFg7FiPkyHxRUNJcfBqtRxzUfhBU8bRzY6FVYlG52yyewAsjhUlcPHdFgcdRw5DlaFxcGqeOuqw3RYXGGt6RvjrbUPPvvZz3Xuzel9AjK8aAZjRR7jVTQcOYoGY8V8mA6LKxpKjoNVqeOaj8ILnjaObHQqrEo2OmWT2QFkcagqh4/psDjqOHIcrAqLg1Xx1lWH6bC4wlrTN8ZbYx/gHZDfcfkVxScgw4tmMFbkMV5Fw5GjaDBWzIfpsLiioeQ4WJU6rvkovOBp48hGp8KqoNHBZhuVL2zoZPWv1yj5ivUfJd5kXbpf8ankaHTwoZ3nepbT26Xenqufzd+Pkq/N9aDCP5fLUiIbnWWxdalo3qOz1I/mNxyeYYPF8be4WLDBdFgc+o4cB6vC4mBFHcbrqsN0WFxhrekb42W+KqzDcvBQFa45Dz20HWlDB2PFHzNeRcORo2gwVsyH6bC4oqHkOFiVOq75KLzgaePIRqfCqmSjUzaZHUAWh6py+JgOi6OOI8fBqrA4WBVvXXWYDosrrDV9Y7zLvQ+al5MzDsUTxVtXHabD4gqrMmeljiNnufcB5orhYIWOwjtfsX3/zUanwppko1M2mR1AFoeqcviYDoujjiPHwaqwOFgVb111mA6LK6w1fWO8y7kPul9OzjgUTxRvXXWYDosrrMqclTqOnOXcB5hnMxys0FJ4m5pt+56NToUVyUanbDI7gCwOVeXwMR0WRx1HjoNVYXGwKt666jAdFldYa/rGeJdzH2y+557AlzJfNYfxsvmqdZgOi6MOY1VYlDqOHAdrzfkovOBp48hGp8KqZKNTNpldLFgcqsrhYzosjjqOHAerwuJgVbx11WE6LK6w1vSN8S7XPui+N0eZr5rDeNl81TpMh8VRh7EqLEodR46DteZ8FF7wtHFko1NhVbLRKZvMLhYsDlXl8DEdFkcdR46DVWFxsCreuuowHRZXWGv6xniXax/gzQF3PbwLU+0MxoEkJYfxKhqOHEWDsSpzVuo4chysNeej8HY2Xgv/k41OhUXJRqdsMrtYsDhUlcPHdFgcdRw5DlaFxcGqeOuqw3RYXGGt6RvjXY59sH///r43B2QciieKt646TIfFFVZlzkodR85y7APMr3c4WKGp8PbWbsvv2ehUWAk0Othso/KFDZ2s/vUaJV+x/qPEe6GzXnvNtXHHHR9dlnN7oXu7XNfCUfK1uR5U+OdyWUpko7Msti4VzXt0lvrR/IbDM2ywOP4WFws2mA6LQ9+R42BVWBysqMN4XXWYDosrrDV9Y7zMV4W1O6d0b053HD8PGowVf8d4FQ1HjqLBWDEfpsPiioaS42BV6rjmo/CCp40jG50Kq5KNTtlkdgBZHKrK4WM6LI46jhwHq8LiYFW8ddVhOiyusNb0jfG690Hvc3MwVwzGoeYwXlcdpsPimA9jVeas1HHkOFhrzkfhBU8bRzY6FVYlG52yyexiweJQVQ4f02Fx1HHkOFgVFger4q2rDtNhcYW1pm+M17kPBt2bo8xXzWG8bL5qHabD4qjDWBUWpY4jx8Facz4KL3jaOLLRqbAq2eiUTWYXCxaHqnL4mA6Lo44jx8GqsDhYFW9ddZgOiyusNX1jvM59MOjeHGW+ag7jZfNV6zAdFkcdxqqwKHUcOQ7WmvNReMHTxpGNToVVyUanbDK7WLA4VJXDx3RYHHUcOQ5WhcXBqnjrqsN0WFxhrekb43XtA3yWFa4t+Gyr0mAciifIYbyuOkyHxRVWZc5KHUcO81VhVXIcrKq3yGvjyEanwqpko1M2mR1AFoeq42Kh1HHkOFgxZ8bC4oqG4q2rDtNhcYVVmbNSx5Hj2gd4pVX3++Zgjt3DwQo9xuuqw3RYXGFFDtNhcUVDyWG+KhpKjms+Ci942jiy0amwKtnolE1mB5DFoaocPqbD4qjjyHGwKiwOVsVbVx2mw+IKa03fGK9jHzTvgjzo3hxlvmoO42XzVeswHRZHHcaqsCh1HDkO1przUXjB08aRjU6FVclGp2wyu1iwOFSVw8d0WBx1HDkOVoXFwap466rDdFhcYa3pG+N17AN8ntWmTbdgWgMH48AfKjmMV9Fw5CgajFWZs1LHkeNgrTkfhXfgZjzPgWx0KiwAGh0cjFH5woZOVv96jZKvWP9R4r2QWB959LHOc3PwvcY5vZC8reFnU2OUfG2uBxX+uVyWEtnoLIutS0XzHp2lfjS/4fAMGyyOv8XFgg2mw+LQd+Q4WBUWByvqMF5XHabD4gprTd8YL/OVsT64dWvnE8pZHRZndRDHYLyuOkyHxRVW5DAdFlc0lBzmq6Kh5Ljmo/CCp40jG50Kq5KNTtlkdgBZHKrK4WM6LI46jhwHq8LiYFW8ddVhOiyusNb0jfGeyz7Ac3JwPTl48CDdk4xD8UTx1lWH6bC4wqrMWanjyDmXfYB5NIOxsDh0lByFt2Fq2/dsdCqsSDY6ZZPZ4WJxqCqHj+mwOOo4chysCouDVfHWVYfpsLjCWtM3xnsu+wCvssJ759ScD+Nl81VYlRylDmN11VFYWI6DteZ8FF7wtHFko1NhVbLRKZvMLgQsDlXl8DEdFkcdR46DVWFxsCreuuowHRZXWGv6xnjPdh+88cYbnXtz8G7INefDeNl8FVYlR6nDWF11FBaW42CtOR+FFzxtHNnoVFiVbHTKJrMLAYtDVTl8TIfFUceR42BVWBysireuOkyHxRXWmr4x3rPdB09PTMQ1a9cGGp6a82G8bL4Kq5Kj1GGsrjoKC8txsNacj8ILnjaObHQqrEo2OmWT2YWAxaGqHD6mw+Ko48hxsCosDlbFW1cdpsPiCmtN3xjv2e4DPGSFZqcZrA6LK54gh/G66jAdFldYlTkrdRw5zFeFVclxsKreIq+NIxudCquSjU7ZZHYAWRyqjouFUseR42DFnBkLiysaireuOkyHxRVWZc5KHUfO2eyD0od3MhYWVzxRvHXVYTosrrAqc1bqOHLOZh+Av3cwFhaHnpKj8PayteX3bHQqrEQ2OmWT2eFicagqh4/psDjqOHIcrAqLg1Xx1lWH6bC4wlrTN8Z7NvsAbxDY+3EPrA6LK54o3rrqMB0WV1iVOSt1HDlnsw/A3zsYC4tDT8lReHvZ2vJ7NjoVVgKNDjbSqHxhQyerf71GyVes/yjxrmTWr371iapvENh79leyt71zrfn7KPnaXA8q/HO5LCWy0VkWW5eK5j06S/1ofsPhGTZYHH+LiwUbTIfFoe/IcbAqLA5W1GG8rjpMh8UV1pq+MV7may8r7sm5/bbbcPOSweqwOMSUHMaraDhyFA3GqsxZqePIcbDWnI/Cu2SDtuiXbHQqLEY2OmWT2cWCxaGqHD6mw+Ko48hxsCosDlbFW1cdpsPiCmtN3xjvmewDvMIKr7RqXlKOeTSD1WFx6Cg5jFfRcOQoGoxVmbNSx5HjYK05H4W32Ztt+56NToUVyUanbDK7WLA4VJXDx3RYHHUcOQ5WhcXBqnjrqsN0WFxhrekb4z2TfbB3794lLynHPJrB6rA4dJQcxqtoOHIUDcaqzFmp48hxsNacj8Lb7M22fc9Gp8KKZKNTNpldLFgcqsrhYzosjjqOHAerwuJgVbx11WE6LK6w1vSN8Z7JPsBLynufhIy5YLA6LK5oIIfxuuowHRZXWJU5K3UcOcxXhVXJcbCq3iKvjSMbnQqrko1O2WR2AFkcqo6LhVLHkeNgxZwZC4srGoq3rjpMh8UVVmXOSh1HjroPpqenO09CPnToEPD7BmNhcQgqOYxX0XDkKBqMVZmzUseR42CtOR+Ft2+TtuSGbHQqLEQ2OmWT2cWCxaGqHD6mw+Ko48hxsCosDlbFW1cdpsPiCmtN3xivug8GPQkZc8FgdVhc0UAO43XVYTosrrAqc1bqOHKYrwqrkuNgVb1FXhtHNjoVViUbnbLJ7ACyOFQdFwuljiPHwYo5MxYWVzQUb111mA6LK6zKnJU6jhxlH3zzT7418EnImAsGY2FxRQM5jNdVh+mwuMKqzFmp48hhviqsSo6DVfUWeW0c2egsw6qgsen9wqbOr/Qg90DuAWUPbNnyO3HZ2y6NrzzyB3ndyGtna/bAMvxzWUUyG50KNuc9OmWT2f9psDhU8Y8GG0yHxaHvyHGwKiwOVtRhvK46TIfFFdaavjFe5itY3/ur7x34JGTEMVgdFlc0kMN4XXWYDosrrMqclTqOHOarwqrkOFhVb5HXxpGNToVVyUanbDI7gCwOVcfFQqnjyHGwYs6MhcUVDcVbVx2mw+IKqzJnpY4jh+2DI0eOdO4RxpORhw3GwuKKJ8hhvK46TIfFFVZlzkodRw7zVWFVchysqrfIa+PIRqfCqmSjUzaZHUAWh6rjYqHUceQ4WDFnxsLiiobirasO02FxhVWZs1LHkcP2wROPPx7XXnMtkIcOxsLiEFdyGK+i4chRNBirMmeljiPHwVpzPgrv0A17HoPZ6FQwPxudssnsYsHiUFUOH9NhcdRx5DhYFRYHq+Ktqw7TYXGFtaZvjJftA7x3zr333g/koYPVYXGIKzmMV9Fw5CgajFWZs1LHkeNgrTkfhXfohj2PwWx0KpifjU7ZZHaxYHGoKoeP6bA46jhyHKwKi4NV8dZVh+mwuMJa0zfGO2wfHDx4sPOw1df+6CkgDx2sDotDXMkZxqtqKHVYDouDhbEqvEodR46DteZ8FF7wtHFko1NhVbLRKZvMLhYsDlXl8DEdFkcdR46DVWFxsCreuuowHRZXWGv6xniH7YPmvXOYRs35DONVOFw5iieMVWFR6jhyHKw156PwgqeNIxudCquSjU7ZZHaxYHGoKoeP6bA46jhyHKwKi4NV8dZVh+mwuMJa0zfGO2gfdH+AJ9OoOZ9BvGDAcLAqOkodxuqqo7CwHAdrzfkovOBp48hGp8KqZKNTNpldCFgcqsrhYzosjjqOHAerwuJgVbx11WE6LK6w1vSN8Q7aB/iEclwr0PAwjZrzGcQLBgwHq6Kj1GGsrjoKC8txsNacj8ILnjaObHQqrAouXtj0o/KFDZ2s/vUaJV+x/qPEuxJYN226JfDVtrO3Erxtm6ejdr4a3gr/XC5LiWx0lsXWpaJ5j85SP5rfcHiGDRbH3+IizAbTYXHoO3IcrAqLgxV1GK+rDtNhcYW1pm+Mt+Qr7sXBdQL36iisSg7jUDSQU+LF7c1w1WE6LA4exoocpsPiioaS42BV6rjmo/CCp40jG50Kq5KNTtlkdgBZHKrK4WM6LI46jhwHq8LiYFW8ddVhOiyusNb0jfGW9gEanGvWru08bKWwKjmMQ9FATokXtzfDVYfpsDh4GCtymA6LKxpKjoNVqeOaj8ILnjaObHQqrEo2OmWT2QFkcagqh4/psDjqOHIcrAqLg1Xx1lWH6bC4wlrTN8Zb2gcPbt265CMfmEbN+ZR4Ub8ZDlZoMR0WhwZjddVRWFiOg7XmfBRe8LRxZKNTYVWy0SmbzC4ELA5V5fAxHRZHHUeOg1VhcbAq3rrqMB0WV1hr+sZ4e/dB87AV3kOnGUyj5nx6eRvG5ruD1TUfxuqq45izg7XmfBTeZk+07Xs2OhVWJBudssnsYsHiUFUOH9NhcdRx5DhYFRYHq+Ktqw7TYXGFtaZvjLd3HzQPW4GxGUwDeSyHxRUN5PTyNozNd1cdpsPiCitymA6LKxpKDvNV0VByXPNReMHTxpGNToVVyUanbDI7gCwOVeXwMR0WRx1HjoNVYXGwKt666jAdFldYa/rGeHv3Qe/DVgqrksM4FA3k9PLitu7hqsN0WBxMjBU5TIfFFQ0lx8Gq1HHNR+EFTxtHNjoVViUbnbLJ7ACyOFSVw8d0WBx1HDkOVoXFwap466rDdFhcYa3pG+Pt3gelh60UViWHcSgayOnmxe+9w1WH6bA4uBgrcpgOiysaSo6DVanjmo/CC542jmx0KqxKNjplk9kBZHGoKoeP6bA46jhyHKwKi4NV8dZVh+mwuMJa0zfG270Put8kEIzNYBrIYzksrmggp5u34ev+7qrDdFhcYUUO02FxRUPJYb4qGkqOaz4KL3jaOLLRqbAqaHSw2UblCxs6Wf3rNUq+Yv1HiXdUWdv6JoHd539Uve2eQxt/HiVfm+tBhX8ul6VENjrLYutS0bxHZ6kfzW84PMMGi+NvcbFgg+mwOPQdOQ5WhcXBijqM11WH6bC4wlrTN8bb7SuuDc2bBIKxGUwDeSyHxRUN5HTzNnzd3111mA6LK6zIYTosrmgoOcxXRUPJcc1H4QVPG0c2OhVWJRudssnsALI4VJXDx3RYHHUcOQ5WhcXBqnjrqsN0WFxhrekb4232AV5OjmsDnqfTO5hGzfk0vL2Mze8OVtd8GKurjmPODtaa81F4mz3Rtu/Z6FRYkWx0yiaziwWLQ1U5fEyHxVHHkeNgVVgcrIq3rjpMh8UV1pq+Md5mH+x6eFdsvuceoPUNpoE/YDksrmggp+Htg1y4wVWH6bC4woocpsPiioaSw3xVNJQc13wUXvC0cWSjU2FVstEpm8wOIItDVTl8TIfFUceR42BVWBysireuOkyHxRXWmr4x3mYf4CMf9u7dC7S+wTTwByyHxRUN5DS8fZALN7jqMB0WV1iRw3RYXNFQcpivioaS45qPwgueNo5sdCqsSjY6ZZPZAWRxqCqHj+mwOOo4chysCouDVfHWVYfpsLjCWtM3xot9cOjQoc7DVkeOHAFa32Aa+AOWw+KKBnLYvnXVYTosrrAqc1bqOHKYrwqrkuNgVb1FXhtHNjoVViUbnbLJ7ACyOFQdFwuljiPHwYo5MxYWVzQUb111mA6LK6zKnJU6jhzsgycefzxuv+02YBWHo45DA3Bs37rqMB0WV1iRw3RYXNFQcpivioaS45qPwgueNo5sdCqsSjY6ZZPZAWRxqCqHj+mwOOo4chysCouDVfHWVYfpsLjCWtM3xot9gCYHzc6gwTRqzoftWweraz6M1VXHMWcHa835KLzgaePIRqfCqqDRwcEYlS9s6GT1r9co+Yr1HyXeUWL90s7f7zxs9cijj43EORslb5PVf91q/i2At6M6stGpsHJ5j07ZZBygYYPF8bfK4WM6LI46jhwHq8LiYFW8ddVhOiyusNb0jfHeffdvB56IPGwwjZrzYfvWweqaD2N11XHM2cFacz4KL3jaOLLRqbAq2eiUTWYXCxaHqnL4mA6Lo44jx8GqsDhYFW9ddZgOiyusNX1jvDfd+P7AB3kOG0yj5nzYvnWwuubDWF11HHN2sNacj8ILnjaObHQqrEo2OmWT2cWCxaGqHD6mw+Ko48hxsCosDlbFW1cdpsPiCmtN3xgvrgeld0MGYzOYBvJYDosrGshh+9ZVh+mwuMKqzFmp48hhviqsSo6DVfUWeW0c2ehUWJVsdMomswPI4lB1XCyUOo4cByvmzFhYXNFQvHXVYTosrrAqc1bqnGvO9PT00JeVgxPjXOu4NKDD9q2DVeFV6jBWVx2FheU4WGvOR+EFTxtHNjoVViUbnbLJ7ELA4lBVDh/TYXHUceQ4WBUWB6virasO02FxhbWmb8N48Uqrf/fudcAZOoZpNH/IclgcOkoO27eKhiNH0WCsypyVOo4cB2vN+Si8zd5s2/dsdCqsSDY6ZZPZxYLFoaocPqbD4qjjyHGwKiwOVsVbVx2mw+IKa03fhvHiZeUf+chvAWfoGKbR/CHLYXHoKDls3yoajhxFg7Eqc1bqOHIcrDXno/A2e7Nt37PRqbAi2eiUTWYXCxaHqnL4mA6Lo44jx8GqsDhYFW9ddZgOiyusNX0bxIsP78S14PNbHwLO0DFIo/uPWA6LQ0vJYftW0XDkKBqMVZmzUseR42CtOR+Ft3t/tunnbHQqrEY2OmWT2cWCxaGqHD6mw+Ko48hxsCosDlbFW1cdpsPiCmtN3wbx4gnIuBbkPsBq9I9BvjWZLI48h7dKHUeOgxVzZiwsrmio3iKvjSMbnQqrgosbNtuofOEAJqt/vUbJV6z/KPGOAusdd3w0brrp/SPla+4D/3WgubaOwp5tWJt9UOGfy2UpkY3Osti6VDTv0VnqR/MbDs+wweL4W1ws2GA6LA59R46DVWFxsKIO43XVYTosrrDW9G0Q740bN3Y+rZz5qrAqOYM48LfNUHIYr6LhyFE0GCvmzXRYXNFQchysSh3XfBRe8LRxZKNTYVWy0SmbzA4gi0NVOXxMh8VRx5HjYFVYHKyKt646TIfFFdaavpV48SnluA7gU8tzH2A1+kfJt+4sFkeuw1uljiPHwYo5MxYWVzRUb5HXxrHyG53Zn8TTH7k6rt/9UswuWYE3Y2bqydiy7uIYH7sybv3i/phZmtDJnp05EI9v3tC5SF2yaVf8aObNJSrKL9nolF1iB5DFoeq4WCh1HDkOVsyZsbC4oqF466rDdFhcYVXmrNQ52xw8P6f52IfcB1iN/sG8ZXEoOrxV6jhyHKyYM2NhcUVD9RZ5bRwrvNF5M16d+HhcMnZxT6MzG8endsT6dZ+JSTQus6/G5H03xPptB+J49yodPxDb190Q90++GrPxZsxMfibWr9sRU8cLHVH33/X8nI1OjyELv7IDyOKQcVwslDqOHAcr5sxYWFzRULx11WE6LK6wKnNW6pxtDj7yofnYh9wHWI3+wbxlcSg6vFXqOHIcrJgzY2FxRUP1FnltHJ5G5+TP4/iJM/vHf/nNQDOzM2795Cfj1jU9jc7sS7Fnw3WxZfL10xjHJmPLmptjz/SJhdtOxPTum+OSzZNxbDHr9ZjcfF1P07QYHPhDNjpla9gBZHGoOi4WSh1HjoMVc2YsLK5oKN666jAdFldYlTkrdc42B/fm7N27FxiWPVtzPmzfnq0nHTO6/sN0WNzlrVLHkcN8VdZYyXGwqt4ir43D0uicnNoWV1z6vrh751Mx+cIrcfzk3PmfK+6N2bQzpl79fmzpaXRmp3fH9WPdTQ1we5qYTjN0WU9TMxvHJu+LSzbsjukz6Ouy0SlvB3YAWRyqjouFUseR42DFnBkLiysaireuOkyHxRVWZc5KnbPJwfNycA3AdxdrzfmwfXs2nnSM6PkP02Fxl7dKHUcO81VZYyXHwap6i7w2DkujM/vT78R/Wn9F5zCPj43HFevvjK27n4kfvnw0Tp6XWf8smb5wpwAAIABJREFUprb9x9g+9bOIzj013ffozN9TM77mvpg81t2toNG5OsYXmpj5Zujqpff6xEKj09ckDZ9kNjplf9gBZHGoOi4WSh1HjoMVc2YsLK5oKN666jAdFldYlTkrdc4mB/fkNM/PcbHWnA/bt2fjCfh7B9NhcegxVuQwHRZXNJQcB6tSxzUfhRc8bRyWRqczsbkT8fr0X8fTX94cv/4uPMF3VYyPXRxrb94cD0/8dUy/fiLq3M+z8JBV83ybvkZnaUNzelG6bx/U0Ay6/bRK6adsdEqueC44yuFjB53FQe/IcbAqLA5W1GG8rjpMh8UV1pq+9fLuenjX4vNzXKw155P7AG4vHb1rvDQ6/xvLYb5ChWkoOQ4N1FF452fevv/6Gp3uuZ08Fj+d+l7s+fyd8SuXji80PVfEr9z5hZh47idxfDk7nuMHYsd9345XmztrKjQ6800dGrvBX9gk+ZUe5B648PbAu/7tu+Luu387z39eA0d+D3T/Mz9KPy9Do3Myjr/yQkw+tTO23Lw2Vjf37Ky7Lq7o/PzW+JVPfT8OL8vzeH4WU1/83+PpV7teAt7X6ORDV2yDss7d9X8ITIfFMQ/Gihymw+KKhpLjYFXquObDeF11mA6LwxPGWtO3bt7u988BA4aDFTrddeaVl/6XxRUN5DBeVx2mw+IKqzJnpY4jh/mqsCo5DlbVW+S1cZgandk48fp0/PCZ/yMeWGxuVsXqtR+Kzy8+Vwc5/z2e3vyeGB/bGI/8+A2/H52mZvC9KuMLz63pPP+m9zk6vU8+Lr0yKxaapHwyMl07x+FSNBwXC6WOI8fBCuMZC4srGshhvK46TIfFFVZlzkqdM81pPt8K9ZvBfEXemdZptLu/OzSgx3hddZgOiyusyGE6LK5oKDnMV0VDyXHNR+EFTxuHpdE59cLOuLp52ObSDfGxbV8f8Oqrf4lXnvpwjF+0KZ58+Rd1/Oi7RyciSk1MJ6/7lVj58vJBC+Q6OEyHxcGnHD6mw+Ko48hxsCosDlbFW1cdpsPiCmtN37p58fyczffcg/KLI/fBohVLfuj2bUlg4RcWR5rDW6WOI8fBijkzFhZXNFRvkdfG4Wl0XtwTv7V5Zzz1Zz+IH718bOFJx3Nx4n88H3/145k4sficnLk4efxo/FPN99wpNTqRbxg4bDOyA+g6OEyHxTEHxoocpsPiioaS42BV6rjmw3hddZgOi8MTxlrTt27e22+7LZ6emED5xeFghVh3nUXxrh9YXNFADuN11WE6LK6wKnNW6jhymK8Kq5LjYFW9RV4bh6XRiTgVx//m/4yPrb246w323ogfP7IxxseW8zk5gqXFRgd/92bMHNgVt67BQ10bYssfHhjwERD7Y8emKzuvIFu/+cmYyo+AoBdYuOs4XIqG42Kh1HHkOFgVbx2sqMN4XXWYDosrrDV9a3jfeOONzgsUpqenUX5xMF+R2Ggs/lHhB5bD4modxuuqw3RYHPNhrMqclTqOHAdrzfkovOBp47A0OnNH/zzufcd4jF/+wXjwz/4+5t9b+FQcf3lfPLn5+lg99va4cfeP41/a6EAFpnx5edlkdrFgcagqh4/psDjqOHIcrAqLg1Xx1lWH6bC4wlrTt4b34MGDnUYHtbtH7oNuN07/3Ph2+palP7E4sh3eKnUcOQ5WzJmxsLiioXqLvDYOQ6PTvLfMO+MjEz/pf6+cNw/Gl6/714tvxNdGE5abKRudssPsALI4VB0XC6WOI8fBijkzFhZXNBRvXXWYDosrrMqclTpnkoOHrPDQVe/IfdDryPzvzFsWh4rDW6WOI8fBijkzFhZXNFRvkdfGYWh0TsbMxJ0xPvae2D615CMxF+b7Sjy96bIYv3RbTJ2ft0k+776j0cFmG5UvHMBk9a/XKPmK9R8l3jay3nTT++Ouuz7Zd5bayDrsvI8Sb7L6r1vN3oC3ozoMjc5c/GJqe/zS2MWx4ZH/3vfw1NyRZ+PuNati9Ycm4vDik5JH1a6z4857dMq+4QANGyyOv1UOH9NhcdRx5DhYFRYHq+Ktqw7TYXGFtaZvDS/OPV5e3jtyH/Q6Mv9741s5qp1Bh7eMA3yOHAerwuJgRR2Fd9Dane/bDY1ORPzLj2PPxrfH+EXXxYd/7+sx+dx/iampA7HvmUdjyw3vjPGx6+Leyf+3/2Gt8z37SvWz0SkbzQ4gi0NVOXxMh8VRx5HjYFVYHKyKt646TIfFFdaavoG3+SBPvGFg78h90OvI/O9snVkcKg5vlTqOHAcr5sxYWFzRUL1FXhuHp9GJuTh5+Afxhd+4qv9jEC761bj7qb9Z3o99aKOzXUzZ6HSZ0fUjO4AsDinHxUKp48hxsGLOjIXFFQ3FW1cdpsPiCqsyZ6WOmoN7cro/yBP1m5H7oHFi6XfmLYtDzeGtUseR42DFnBkLiysaqrfIa+MwNToLU5v7ecz8+EBMPvOteHri2/HsvoPxt9U+zLON9s4zZaNTXht2AFkcqo6LhVLHkeNgxZwZC4srGoq3rjpMh8UVVmXOSh01p/RGgWDAyH2wYETPN+Yti7u8Veo4clbaPuhZzlb96m10WjW19sBko1NeC3axYHGoOi4WSh1HjoMVc2YsLK5oKN666jAdFldYlTkrddSc0hsFggEj98GCET3fmLcs7vJWqePIWWn7oGc5W/WrsdE5Gcdn/jZenJqKqcLX89OvxwX6oqvie2n07gLHwXFoKBcLVx2mw+IKK3KYDosrGkrOSruw1fJNqePwVqmj5uB/bvA+OqXhYFX2m8paYuy+jfG66jAdFgczY63pG+N1sNacj8LbvW/a9LOn0Zn7p/ibPbfHO5vPuyp93zQRM22aeUWWvEenbDa7ELA4VJXDx3RYHHUcOQ5WhcXBqnjrqsN0WFxhrenbI48+1vmfG7wzcmnkPii5ws/YqO0DxrvS9kF5Vdtxq6HRmYs3X/hyvHus+bTyr3c+2wVvltX99a19Ly+8Y3I7Jl6TIhudstvsQsDiUHVcLJQ6jhwHK+bMWFhc0VC8ddVhOiyusCpzVuooOZ/97Ofixo0bUbI4ch8UbbHsa4e3yho7chyscJKxsLiigRyFt7yy5/9WQ6PTvGHgL8Xdz/7PC/Yl5MOWEo0ONtuofGFDJ6t/vUbJV6z/KPG2ifWOOz4amzbdMvAMtYlVOeejxJus/utWs0fg7agOQ6PTfATEtfGpfUdH1Ydl5c57dMr24gANGyyOv1UOH9NhcdRx5DhYFRYHq+Ktqw7TYXGFtaZv7/3V9/Z9YjnqNyP3QePE0u9snVkcag5vlTqOHAcr5sxYWFzRUL1FXhuHodGJiBMvxiPvuyz+l7u+HT89MdvGeZ5Xpmx0yvazA8jiUHVcLJQ6jhwHK+bMWFhc0VC8ddVhOiyusCpzVuooOTjvvZ9YjvrNyH3QOLH0O/OWxaHm8Fap48hxsGLOjIXFFQ3VW+S1cVganVPTX4/b110x/2aBF10dv/bvb4lbNy39+vC2fXGh3t+TjU5567MDyOJQdVwslDqOHAcr5sxYWFzRULx11WE6LK6wKnNW6rAcNDg474OeiOxirTUfhZd5orAqOUodxxlT6jhyHKwu35T5KLzgaePwNDov7IyrS6+06rpt9R3PxGttdKACUzY6ZZPZ4WJxqCqHj+mwOOo4chysCouDVfHWVYfpsLjCWsu3vXv3xrXXXItyA0fug7I1bJ1ZHKoOb5U6jhwHK+bMWFhc0VC9RV4bh6XRaePE2sSUjU55NdgBZHGoOi4WSh1HjoMVc2YsLK5oKN666jAdFldYlTkrdVgO3hEZn1o+bOQ+KLvDvGVxqDq8Veo4chysmDNjYXFFQ/UWeW0cxkZnNk4cfj6+u2dbbLnjQ9F5qOrU38V3v/LteOG1X7Rx7tWYstEpW80OIItD1XGxUOo4chysmDNjYXFFQ/HWVYfpsLjCqsxZqcNy8I7I9957P8oNHLkPytYwb1kcqg5vlTqOHAcr5sxYWFzRUL1FXhuHqdE5FUef2xEbLx2ff54OHrLCGwQefTbuesuqWL3+czF5+MJtdrLRKW99dgBZHKqOi4VSx5HjYMWcGQuLKxqKt646TIfFFVZlzkodloOz/qWdD6PcwJH7oGwN85bFoerwVqnjyHGwYs6MhcUVDdVb5LVxWBqduaN/Hve+YzxWv29H7PvpD2LbpQuNTvwiDj/7QFwzNh5Xff65+HkbHajAlI1O2WR2AFkcqo6LhVLHkeNgxZwZC4srGoq3rjpMh8UVVmXOSp1hOYcOHer8j97X/ugplBs4ch+UrRnmLf6CxZHj8Fap48hxsCq+OFhVb5HXxmFodJr30bkyPvbMqzF3ciq2LzY6ETH7UuzZcHGM//Ij8eNTbbRg+ZnQ6GCzjcoXDmCy+tdrlHzF+o8SbxtYH3poe6fRYWenDayMsTs+SrzJ6r9uNXsB3o7qMDQ6zTsjvye2Tx2P6G104pV4etNlMX7ptpi6QD/VM+/RKR8PHKBhg8Xxt8rhYzosjjqOHAerwuJgVbx11WE6LK6w1vANH3mz+Z576F7JfYDV6B9snVkcig5vlTqOHAcr5sxYWFzRUL1FXhuHodGZi58/92BcNXZZfPCpl/vu0Zk78mzcvWZVrP7QRByea6MFy8+UjU7ZY3YAWRyqjouFUseR42DFnBkLiysaireuOkyHxRVWZc5KnWE5aHKeeHz+3lDUGzRyH5SdGeYt/oLFkePwVqnjyHGwKr44WFVvkdfGYWh0mndGfnuMX35bPLrvG/HA21bF+M2PxQ9f+NP48qZfivGxq+Pjz7xywX4OVjY65a3PDiCLQ9VxsVDqOHIcrJgzY2FxRUPx1lWH6bC4wqrMWakzLOeatWsD76MzLMfFWmM+qIHB9i2bLzQcOYoGY1VYlDqOHAdrzfkovOBp4/A0OjEXJw9/Pz69/q2nX3W1+GaBV8UHvvBX8doFem8OFj0bnfLWZxcLFoeqcviYDoujjiPHwaqwOFgVb111mA6LK6zL7RveCRnnHO+MzHhzH2A1+gfzjcWh6PBWqePIcbBizoyFxRUN1VvktXGYGp35qc2dOBwv/sVE7Nm5PbZv2xGPPPmd2Dd9NC7Qp+Ysrnc2OotWLPmBHUAWh5jjYqHUceQ4WDFnxsLiiobirasO02FxhVWZs1JnUE7z0Q9KndwHcKl/DPK2yWRx5Dm8Veo4chysmDNjYXFFQ/UWeW0clkZn7vgr8eLUVEwN+Xp++vULtuHJRqe89dkBZHGoOi4WSh1HjoMVc2YsLK5oKN666jAdFldYlTkrdQbl4CGrGzduRBm6PrkPOjb1/WeQt00iiyPP4a1Sx5HjYMWcGQuLKxqqt8hr47A0OientsUViw9VrSo8fNW8r04bLVh+pmx0yh6zA8jiUHVcLJQ6jhwHK+bMWFhc0VC8ddVhOiyusCpzVuoMysGTkPFkZKVO7oOOTX3/GeRtk8jiyHN4q9Rx5DhYMWfGwuKKhuot8to4LI3O3OsvxPcmJgIvr+z++uPdvxd33fDOWL32o/HlP385TrTRgQpMaHSw2UblCwcwWf3rNUq+Yv1Hifd8s+LzrfDRD8q5Od+sCmN3zijxJqv/utXsBXg7qsPS6Ayb/PzLy6+IDz45Hf8yLHEFx/IenfLi4gANGyyOv1UOH9NhcdRx5DhYFRYHq+Ktqw7TYXGFdbl9wxnfv38/ytC9kvugY1Pff9g6szgEHd4qdRw5DlZlvzlYVW/7FrUlNyx7oxPNGwZe4O+MzNbbsRkdGsqGdtVhOiyusCKH6bC4oqHkrLQLWy3flDoOb5U6pZzuV1zlPoAD/aPkW28Wy2Fx6J3PfXCm83GwoibzhcUVDdXbXg/a8vsyNzpzcfK1Z2PLO8Yv+I+AYAvu2IwODWVDu+owHRZXWJHDdFhc0VByVtqFrZZvSh2Ht0qdUk73K65yH8CB/lHyrTeL5bA49M7nPjjT+ThYUZP5wuKKhuptrwdt+d3S6Jyafio+semWuLXv6/2xvvOJ5m+NDTufjzfaMuvKHPnQVdlwdgBZHKqOi4VSx5HjYMWcGQuLKxqKt646TIfFFVZlzkqdUk73K66UOrkP4FL/KHnbncXiyHV4q9Rx5DhYMWfGwuKKhuot8to4PI3OCzvj6gGvulr9rhvjri//33H45IX7joHZ6JS3PjuALA5Vx8VCqePIcbBizoyFxRUNxVtXHabD4gqrMmelTimn+xVXSp3cB3Cpf5S87c5iceQ6vFXqOHIcrJgzY2FxRUP1FnltHJZGp40TaxNTNjrl1WAHkMWh6rhYKHUcOQ5WzJmxsLiioXjrqsN0WFxhVeas1Cnl4GXleLVpM0o5TQzfcx90u3H6Z+Ybi7u8Veo4clbaPji9ku37KRudCmuSjU7ZZHaxYHGoOi4WSh1HjoMVc2YsLK5oKN666jAdFldYlTkrdUo5zWdcoQZGKWch1PmW+6DbjdM/M99YHEoOb5U6jhwHK+bMWFhc0VC9RV4bh6XRUd4Zeem7Jv9tvH4BPZSVjU5567MDyOJQdVwslDqOHAcr5sxYWFzRULx11WE6LK6wKnNW6pRycL7xhORmlHKaGL7nPuh24/TPzDcWd3mr1HHkrLR9cHol2/eTpdGR3hl5yXN47oynZ1buJ2Dhwtf7hU2dX+lB7oGVtQc+v/Whzln/yiN/kOc7r3Erfg+0r4XRiCyNztzrz8fXNl8fq8cujms2fSoeefKb8fTEN+PJr3wqbl17cYxfdH1s2f2N0++a/K2/in84ceE8OTnv0SlvRvZ/RSwOVcf/FSl1HDkOVsyZsbC4oqF466rDdFhcYVXmrNTpzcGbBPae794c1O4euQ+63Tj9M/ONxaHk8Fap48hxsGLOjIXFFQ3VW+S1cXgandf+LD75jovjmi1/1vPqqrk4+ZNvxIff8q/jms//dRxvowMVmHovhKWSjs3o0AAbO4CuOkyHxRVW5DAdFlc0lBzmq6Kh5Ljmw3hddZgOi8MTxrpcvuFJyM1nXKEGBuN1sCp1GIeigRzG66rDdFhcYVXmrNRx5DBfFVYlx8Gqeou8Ng5Do3MqXnvmE7F67N2x9bljhTm+Ek9vuizGL90WUyv30arCvE/flI3OaS+6f2IHkMWh5bhYKHUcOQ5WzJmxsLiioXjrqsN0WFxhVeas1OnNeXDr1sBX9+jN6Y7h59wHvY7M/858Y3GXt0odR85K2wflVW3HrZZG5+iz/yn+zdg74yMTP4neB6Tmjv1lfPrK8RjfsDumZ9sx6doU2eiUHWcXCxaHquNiodRx5DhYMWfGwuKKhuKtqw7TYXGFVZmzUqc3p/el5Uqd3AdwqX/0etubweLId3ir1HHkOFgxZ8bC4oqG6i3y2jgMjU7E3NE/j3vxMQ+XfzAenNgXf/PyqzEz89OYnvpePHLHu2P12NXx8Wde6WuC2mjIcjBlo1N2lR1AFoeq42Kh1HHkOFgxZ8bC4oqG4q2rDtNhcYVVmbNSpzcHZ7v5ME/UwOjNWbh58Vvug0UrlvzAfGNxiDm8Veo4chysmDNjYXFFQ/UWeW0clkYn4lQc/5vH48OXj/e92mj8onfHx578b3G8966eNrqxTEzZ6JSNZQeQxaHquFgodRw5DlbMmbGwuKKheOuqw3RYXGFV5qzU6c7p/TBP1MDozlm4acm33AdL7Fj8hfnG4hByeKvUceQ4WDFnxsLiiobqLfLaOEyNDqY2Fyd/9vfxw2e/EXt2bo/t274ce77xbPzw5aNxgT41Z3G9s9FZtGLJD+wAsjjEHBcLpY4jx8GKOTMWFlc0FG9ddZgOiyusypyVOt05zYd5ouHpHt053bc3P+c+aJxY+p35xuJQc3ir1HHkOFgxZ8bC4oqG6i3y2jiMjc5snDj8fHx3z7bYcseH4sPb9sXRU38X3/3Kt+OF137RxrlXY0Kjg802Kl84gMnqX69R8hXrP0q854P1oYe2d+7BPtOzcj5Yz5SxO3+UeJPVf91q9gK8HdVhanROxdHndsTGzieVL7xZ3qaJmDn6bNz1llWxev3nYvLwhdvs5D065eOBAzRssDj+Vjl8TIfFUceR42BVWBysireuOkyHxRXW5fCt9NJypU7uA7jUP9g6szgUHd4qdRw5DlbMmbGwuKKheou8Ng5Lo9M8GXn1+3bEvp/+ILZduirG0ejEL+Lwsw/ENWPjcdXnn4uft9GBCkzZ6JRNZgeQxaHquFgodRw5DlbMmbGwuKKheOuqw3RYXGFV5qzU6c4pvbRcqZP7AC71j25v+6N83+NvHN4yDtRx5DhYFRYHq+ot8to4DI3ObBybvC8uGbsyPvbMqzF3ciq2LzY6ETH7UuzZcHGM//Ij8eNTbbRg+Zmy0Sl7zA4gi0PVcbFQ6jhyHKyYM2NhcUVD8dZVh+mwuMKqzFmp051Temm5Uif3AVzqH93e9kf5vsffOLxlHKjjyHGwKiwOVtVb5LVxGBqdkzEzcWeMj70ntk8dj+htdCLfMDAbnfLWZweQxaHquFgodRw5DlbMmbGwuKKheOuqw3RYXGFV5qzU6c7Bp5b3vrRcqZP7AC71j25v+6N83+NvHN4yDtRx5DhYFRYHq+ot8to4DI3OXPz8uQfjqrHL4oNPvdx3j87ckWfj7jWrYvWHJuLwBfoS82x0ylufHUAWh6rjYqHUceQ4WDFnxsLiiobirasO02FxhVWZs1KnOwfnuvtTy1EDoztn4aYl33IfLLFj8RfmG4tDyOGtUseR42DFnBkLiysaqrfIa+MwNDoRceLFeOR9b4/xy2+LR/d9Ix5426oYv/mx+OELfxpf3vRLMZ5vGEjX3rEZHRoAZQfQVYfpsLjCihymw+KKhpLDfFU0lBzXfBivqw7TYXF4wljdvjUvLT9y5AiklwzG62BFQVaHxRUN5DBeVx2mw+IKqzJnpY4jh/mqsCo5DlbVW+S1cXgaHbyHzuHvx6fXv7X/DQPHrooPfOGv4rUL9N4cLHreo1Pe+uwAsjhUHRcLpY4jx8GKOTMWFlc0FG9ddZgOiyusypyVOk1O0+hAt3c0Ob23N7/nPmicWPqd+cbiUHN4q9Rx5DhYMWfGwuKKhuot8to4TI3O/NTmThyOF/9iYuENA3fEI09+J/ZN5xsGZqNT3vrsALI4VB0XC6WOI8fBijkzFhZXNBRvXXWYDosrrMqclTpNDl5afuPGjZDtG01OX2DhhtwHZWeYbywOVYe3Sh1HjoMVc2YsLK5oqN4ir43D0ujMvvxHcdtvfCq+9sKRC/bzrIYtLhodbLZR+cIBTFb/eo2Sr1j/UeKtzXrvvffHTTe9/6zOSW3Wcz3Lo8SbrP7rVrN/4O2oDkOj07zq6t2x9bljo+rDsnLnPTple3GAhg0Wx98qh4/psDjqOHIcrAqLg1Xx1lWH6bC4wur2DS8t3/XwLsj2Dcab+6DPss4NzDcWh4jDW6WOI8fBijkzFhZXNFRvkdfGYWh05uJfXn4qPnL5ZbFx51/Haydm2zjP88qUjU7ZfnYAWRyqjouFUseR42DFnBkLiysaireuOkyHxRVWZc5KnSZn0HvoKHVyH8Cl/tF42x+Zv4XFkeXwVqnjyHGwYs6MhcUVDdVb5LVxGBqdiNlXvh+fvfmq+SciX3R1/Nq/vyVu3bT0q/PZV210oAJTNjplk9kBZHGoOi4WSh1HjoMVc2YsLK5oKN666jAdFldYlTkrdZocnOnSe+godXIfwKX+0XjbH5m/hcWR5fBWqePIcbBizoyFxRUN1VvktXGcZaNzMv5x+vmYevGVOD4XceqFnXH12MJnXA34vvqOZ+K1NjpQgSkbnbLJ7ACyOFQdFwuljiPHwYo5MxYWVzQUb111mA6LK6zKnJU6TQ7OdOk9dJQ6uQ/gUv9ovO2PzN/C4shyeKvUceQ4WDFnxsLiiobqLfLaOM6y0Tkc373jnTF+6baYOhlxavqp+MSmj8b2fRdqKzN8abPRKfvDDiCLQ9VxsVDqOHIcrJgzY2FxRUPx1lWH6bC4wqrMWamDnEOHDnXuvS69h45SJ/cBXOofzH8Wh6LDW6WOI8fBijkzFhZXNFRvkdfGcZaNzsLHOqz5D/HHLx2KQ89+Ki4be3v8+u7nY2Zmpvj1P3924oJ9RVY2OuWtzw4gi0PVcbFQ6jhyHKyYM2NhcUVD8dZVh+mwuMKqzFmpg5xh76Gj1Ml9AJf6B/OfxaHo8Fap48hxsGLOjIXFFQ3VW+S1cZxlo/OL+OnEf4h3DniYCv+w9311Ps28jRYsP1M2OmWP2QFkcag6LhZKHUeOgxVzZiwsrmgo3rrqMB0WV1iVOSt1kLN3797A51wNGkwn90HZOeYbi0PV4a1Sx5HjYMWcGQuLKxqqt8hr4zjLRici5o7F9Hf/IL6wbVv83n+8If7N2L+OtZvuj+3bthW/vvDUC3G8jQ5UYMpGp2wyO4AsDlXHxUKp48hxsGLOjIXFFQ3FW1cdpsPiCqsyZ6UOcvBmgXjV1aDBdHIflJ1jvrE4VB3eKnUcOQ5WzJmxsLiioXqLvDaOs290umYz/2Tkd8ZHnzncdWv+2DiARgebbVS+cACT1b9eo+Qr1n+UeGuy3nHHR2PTplvO+ozUZHWc41HiTVb/davZQ/B2VIel0RnVydfiznt0yk7jAA0bLI6/VQ4f02Fx1HHkOFgVFger4q2rDtNhcYXV6duw99BR6uQ+gEv9g60zi0PR4a1Sx5HjYMWcGQuLKxqqt8hr48hGp8KqZKNTNpkdQBaHquNiodRx5DhYMWfGwuKKhuKtqw7TYXGFVZmzUgc5t992W+fhK2iWBtPJfVByzbOvHd6y9QO9I8fBqrA4WFFH4S2v7Pm/NRudCmuQjU7ZZHYAWRyqyuFjOiyOOo4cB6vC4mBVvHXVYTosrrA6fcN5HvQeOkqd3AdwqX+wdWZxKDq8Veo4chysmDNjYXFFQ/UWeW0c2ehUWJVsdMomswPI4lB1XCxEOKC2AAAgAElEQVSUOo4cByvmzFhYXNFQvHXVYTosrrAqc1bqICcbHbh5eqi+nf6L8k9Mh8Wh6jhjSh1HjoMVc2YsLK5oqN4ir40jG50Kq5KNTtlkdgBZHKqOi4VSx5HjYMWcGQuLKxqKt646TIfFFVZlzkqdRx59bOibBSp1ch/Apf7B/GdxKDq8Veo4chysmDNjYXFFQ/UWeW0cxkZnNk4cfj6+u2dbbLnjQ9H5bKtTfxff/cq344XXftHGuVdjykanbDU7gCwOVcfFQqnjyHGwYs6MhcUVDcVbVx2mw+IKqzJnpU7T6EBv0GA6uQ/KzjHfWByqDm+VOo4cByvmzFhYXNFQvUVeG4ep0TkVR5/bERsvHT/9RoF4g8Cjz8Zdb1kVq9d/LiYPX7jNTjY65a3PDiCLQ9VxsVDqOHIcrJgzY2FxRUPx1lWH6bC4wqrMWanz2c9+buibBSp1ch/Apf7B/GdxKDq8Veo4chysmDNjYXFFQ/UWeW0clkZn7uifx73vGI/V79sR+376g9h26aoY77wT8i/i8LMPxDVj43HV55+Ln7fRgQpMaHSw2UblCwcwWf3rNUq+Yv1HibcW67333h833fT+czoftVhdZ3iUeJPVf91q9hG8HdVhaHRm49jkfXHJ2JXxsWdejbmTU7F9sdGJiNmXYs+Gi2P8lx+JH58aVZvOjTvv0Sn7hwM0bLA4/lY5fEyHxVHHkeNgVVgcrIq3rjpMh8UVVpdvd931yaHviqzUyX0Al/oHW2cWh6LDW6WOI8fBijkzFhZXNFRvkdfGYWh0TsbMxJ0xPvae2D51PKK30YmFDwBd+KTzNpqw3EzZ6JQdZgeQxaHquFgodRw5DlbMmbGwuKKheOuqw3RYXGFV5qzUwb05Tzw+/P9smU7uA6xG/2C+sTgUHd4qdRw5DlbMmbGwuKKheou8Ng5DozMXP3/uwbhq7LL44FMv992jM3fk2bh7zapY/aGJODxXyYLZmfjRF2+JSzofLrohtky8VPicrTdjZurJ2LLu4hgfuzJu/eL+mJnt55udORCPb97Qee7RJZt2xY9m3uxPIrdko1M2iB1AFoeq42Kh1HHkOFgxZ8bC4oqG4q2rDtNhcYVVmbNSB40OPutq2GA6uQ/K7jHfWByqDm+VOo4cByvmzFhYXNFQvUVeG4eh0YmIEy/GI+97e4xffls8uu8b8cDbVsX4zY/FD1/40/jypl+K8bGr4+PPvBJ1+pyfxcGJby40JG/GzIFdceuaq2PL5Otd/s/G8akdsX7dZ2ISjcvsqzF53w2xftuBpQ3R8QOxfd0Ncf/kqzEbb8bM5Gdi/bodMXW80BF1qff+mI1OryPzv7MDyOJQcVwslDqOHAcr5sxYWFzRULx11WE6LK6wKnNW6rzj8is6n14OvUGD6eQ+KDvHfGNxqDq8Veo4chysmDNjYXFFQ/UWeW0cnkYn5uLk4e/Hp9e/9fSrrjr3pqyK8bGr4gNf+Kt4rU6XE7N/vz9+8Gr3vS6vx+Tmq+OSzZNxrFmBzvOGrlva/BybjC1rbo490ycWsk7E9O6bl/5dQOu6uH73S3EmrU42Oo3xS7+zA8jiUHNcLJQ6jhwHK+bMWFhc0VC8ddVhOiyusCpzVurgLA97V2SlTu4DuNQ/mP8sDkWHt0odR46DFXNmLCyuaKjeIq+Nw9TozE9t7sThePEvJmLPzu2xfduOeOTJ78S+6aNx8nzOvNPU3Bjbp362SDE7vTuuH+tuahDqaWI6f3dZT1Oz8MTrDbtj+gw6nWx0Fq1f8gM7gCwOMcfFQqnjyHGwYs6MhcUVDcVbVx2mw+IKqzJnpU42OnBy6VB8c+QoGo4zptRx5DhYsRKMhcUVDeQovEt3Rnt+szQ6c//4t/H89GtxotK9Npp9s3F8ejL2bL5z4aGn5q/m76kZX3NfTB7r7lbm7/kZX2hi5puh/oe85l9h1tskNdrl79nolH1hB5DFoaocPqbD4qjjyHGwKiwOVsVbVx2mw+IKq8M33JODs/zGG29AbuBgvLkPytYx31gcqg5vlTqOHAcr5sxYWFzRUL1FXhuHpdE5ObUtrhgbjyvWfyy2f30yXnzl2Pm9F6dz78zVCw+jXRzrN0/E9OLzapY2NKcXpfv25iXzvQ3NoNtPq5R+ykan5IrngDouFq4LAdNxsMJJVofFFQ3kMF5XHabD4gqrMmdWp2l0oDVsMB3mK7SZhpLj0EAdxuuqw3RYXGGt6RvjZb4qrEoO41A0kKPwIq+Nw9LozL3+X+Mb2z4Wv7L4zsgXx9qb749Hn3kupl8/UelJyAV7Z2di6g83x/qxVXHJRybi1c4dON0NTfffdN8+qKEp345Ghn1hk+RXepB7YHT3wJYtv9M557mGo7uGuXbntnbd/2KO0s+WRqeZ8NyJ12L6uYl4ePNvxNqLmn/83xm/dteX4hv/5fB5upen96Gq3t8b+u5GJyIfump86f/u+j8EpsPiIMOFiw2mw+LQd+Q4WBUWByvqMF5XHabD4gqrwze8rBwvL2eD8TJfFVYlh3EoGshhvK46TIfFFVZlzkodRw7zVWFVchysqrfIa+OwNjqnJzgXJ4//JKa+tS1ufRfep6b5SIjTGTV/6jQtXc/J6f29w9L75OPSK7NioUnKJyPT5XMcLkXDcbFQ6jhyHKwwnrGwuKKBHMbrqsN0WFxhVebM6mSjAxf7B/MNf+HIUTTYnlVYlDqOHAdrzfkovP27ox23+BuduRPx+vRfx9Nf3hy/3jQ5F10XH979X5e+R021+c8/3HTF4kNXzcdS5MvLBy0B29COQ47aTIfFocFYXXUUFpbjYK05H8bL5quwKjlKHcbqqPPg1q2xadMtkBo6GK+DFQCsDosrGshhvK46TIfFFVZlzkodRw7zVWFVchysqrfIa+MwNTqzcWLmv8XkU1+Ku2945+KTgK/Z9Lux57tT8dPjtV5g/ma8OvHxuGTd5nh8aqbzXjezM9+P+zfcGXteWnwXHXQ6+YaBQ3YjO4Cug8N0WBxTYKzIYTosrmgoOQ5WpY5rPozXVYfpsDg8YawO3zbfc0/gQz3ZYLwOVsd8FA3kMF42X7UO02FxhVVhUeo4cpivCquS42BVvUVeG4el0Tn1ws64euEJuavf9YF44NHvxA9fPh/vnzMbx196PG5d0zw/6Mq4ddtETBU/tqF512Tkbogtf3hgwEdA7I8dm66M8TG8euvJAVrDlzZfdVX2hx1AFoeq42Kh1HHkOFgxZ8bC4oqG4q2rDtNhcYVVmTOrk40OXOwfzDf8hSNH0XCcMaWOI8fBqnjrYEUdhbd/d7TjFk+j8+Ke+K3ND8fTz/19/NPJVr2ZTitczkanvAzsALI4VJXDx3RYHHUcOQ5WhcXBqnjrqsN0WFxhdfh2zdq18dBD2yE1dDDe3Adl+5hvLA5Vh7dKHUeOgxVzZiwsrmio3iKvjeMsG50TMf3Ulrj1Qzti39FTcWr6qfjEplvi1iFfH962L4620YEKTNnolE1mB5DFoeq4WCh1HDkOVsyZsbC4oqF466rDdFhcYVXmzOrgHD/y6GOQGjqYTu6Dsn3MNxaHqsNbpY4jx8GKOTMWFlc0VG+R18Zxlo3Oz+PFndfH+EWfiO++diq6H7rCxaD0tfqOZ+K1NjpQgSkbnbLJ7ACyOFQdFwuljiPHwYo5MxYWVzQUb111mA6LK6zKnFmdbHTgYv9gvuEvHDmKhuOMKXUcOQ5WxVsHK+oovP27ox23nGWj0w74UaHABRKbbVS+sKGT1b9eo+Qr1n+UeJebFffk4Bx/7Y+eOuezsdys7rM7SrzJ6r9uNfsJ3o7qsDQ6c6+/EN+b+E7se/mfCz78c/zDX349Hv3aVBy9QJ++k/foFLaF8H95OGBsKIeP6bA4GBw5DlaFxcGKOozXVYfpsLjCeq6+NR//oLCwHOarwqrkMA5FAzmM11WH6bC4wqrMWanjyGG+KqxKjoNV9RZ5bRyWRmf+s64ui1snXumf49z/iD/+jbfH+KXbYqrWq8z7Kc7rLdnolO1nB5DFoeq4WCh1HDkOVsyZsbC4oqF466rDdFhcYVXmPKxONjpwsDyG+db8hSNH0XCcMaWOI8fBCn8ZC4srGshReJv1btv3s2505l57Jj72lvLzcfAPe+/X6v/tyXi5+8PC2+bEMvJko1M2lx1AFoeqcviYDoujjiPHwaqwOFgVb111mA6LK6zn6tvevXvjxo0bcx/AyJ6hrI8jR9FwnDGljiPHwYqlYCwsrmggR+Ht2Rqt+fWsG52IN+LliU/HhzfdErfccHWsxqeXr3t/4ZVXH4qPbtkV3/1/jp2/D/c8z3Zno1NeAHYAWRyqyuFjOiyOOo4cB6vC4mBVvHXVYTosrrCeq2/4+Ae8j47CwnJyH2A1+gfzjcWh6PBWqePIcbBizoyFxRUN1VvktXGcQ6Nzejrzr7p6Z3z0mcOnb8yfFh3IRmfRiiU/sAPI4hBzXCyUOo4cByvmzFhYXNFQvHXVYTosrrAqcx5WJxsdOFgew3xr/sKRo2g4zphSx5HjYIW/jIXFFQ3kKLzNerftu6XRmZ/UyTj+yo/j+ampmFrydSD2/dnX4uE9P8z30Rmy+o7N6NAAItvQrjpMh8UVVuQwHRZXNJQc5quioeS45sN4XXWYDovDE8Z6rr7tenhX4LOuFBaW42A91/ng7zEYK3IYr6LhyFE0GKsyZ6WOI8fBWnM+Ci942jg8jc7c6/HD7TfHFYXn5jTP1cn30Rm+/I6D49AAJdvQrjpMh8UVVuQwHRZXNJQc5quioeS45sN4XXWYDovDE8Z6rr7hYSvcq6OwsBwH67nOB3+PwViRw3gVDUeOosFYlTkrdRw5Dtaa81F4wdPGYWl0Zqd3x/Vjq2L12lvigd+9M9ZftCpWr7szPvfA7fErl47H+NoH4tnDv2jj/KswodnDwRiVL2zoZPWv1yj5ivUfJd7lZr3ppvd3PtDTcS6Wm9XB2K0xSrzJ6r9uNXsB3o7qMDQ6p+K1Zz4Rq8eujI8982rMzf1dPLnxrTG+YXdMz56K4y/8fmy86Or4+DOv5JORh+wSbCY2WA6LQ1/JYRta0XDkKBqMVZmzUseR42CtOR/G6/DENR/Geq51br/ttrxHByYWxoW0D5rpO+bs2LPgYSwsrmggR+Ft/Gnbd0OjczJmJu6M8bH3xPap4xFxNPY9cG2Mr7kvJo/NRjSNz8Yn4x/yDQMHrr9jMzo0lA3tqsN0WFxhRQ7TYXFFQ8lRLhQOFoeG4q2rDtNhcYVVWZ9hdXCvLN5LZ1gOamCwnNwHC0b1fGO+sTjkHN4qdRw5DlZlvzlYVW97lrQ1vxoanbn4+b5Px9ube3TiREzvvjnGx34znnz5FxH5hoGd9xRiK+7YjA4NZUO76jAdFldYkcN0WFzRUHJW2oWtlm9KHYe3w+pko4MdXh7DfGv+wpGjaCz3PnDOx8EKHuYLiysayFF4G3/a9t3Q6ETE//eX8al3jMfqtbfFw8/NxD8/92BcNfb2+LXPfyue+792xgfesipWf+Cp+GneozNw/R2b0aGhbGhXHabD4gorcpgOiysaSo5yoXCwODQUb111mA6LK6zK+gyrk40OHCyPYb41f+HIUTQcZ0yp48hxsMJfxsLiigZyFN5mvdv23dPoxMl47bmd8YHL3xrX734pZk8eislP/a+xunkV1kU3xIPPvZ7P0Rmy+o7N6NBQNrSrDtNhcYUVOUyHxRUNJUe5UDhYHBqKt646TIfFFVZlfQbVOXToUOde2SNHjtC9pNTJfQCX+scg/5tMFkeew1uljiPHwYo5MxYWVzRUb5HXxmFqdDC1uTh5/HC88o8Lr646eTRefm5vfOtbe+OHPz1+wTY5cAb/N8iGYzM6NMDJDqCrDtNhcYUVOUyHxRUNJYf5qmgoOa75MF5XHabD4vCEsZ6Lb83nXCkaSo6DVamj+KbkMF5Fw5GjaDDWmr4xXgdrzfkovOBp4zA2Om2cXjuYstEprwO7ELA4VJXDx3RYHHUcOQ5WhcXBqnjrqsN0WFxhPRffstEZ/rJiZX0cOYqG44z9/+19j49c13ndn0IhRAWQCBHLsgGhiUTIUAqWqEiCKATZAhoFFGPJkC3XiJzCyx+FKzeV61ARI4stBYW0KSWpA3lpp2lQyclCgUsYdNagA0dgN4gR16Q3NcGo7CJiGXl5i/Nm3u6bN3fmnJ098/je7HeB3flxvjnf+c699+23b34peRwxDq2bWdd4bDmUehS9JV/bLidsdG6mpa8dyXyv1RMj7/v4iW/HJyOPmX1lobEYhiO9EsMWtMLhiFE4mFalZiWPI8ahtcl6mF6HJ656mNbN5Ll06dLaWVlHzQ6tm6kHjy2HUg/Tq3A4YhQOphV1Mx6GKxxKjEOrksdVj6IXeto4Jmx0/iH95UsHis2PsxXKz1b/ZGQstq78YEGHVv98dclXzH+X9E5T69Gjx9P+h/fb9sQ0tU5j33ZJb2j1H7fKNQVvuzombHS6Wu6d0R1PXeV9xwYaNxiOxyqbj/EwHHkcMQ6tihaHVsVbVx7Gw3BF62Z8K7/QU+FQYmIdwKXhweaZ4WB0eKvkccQ4tKJmpoXhCofqLeLaOCyNzu2VH6e/HPgiz/oXey6m7y1dS++30YEGNEWjkzeZbUCGg9VxsFDyOGIcWlEz08JwhUPx1pWH8TBc0arUPCpPNDrj/5Mf5Rs8L4cjRuFw7DEljyPGoRX+Mi0MVzgQo+gt57ttl5ZG5/3FE2O/0LN4auvQfFpuW/UN6YlGJ28024AMB6uy+RgPw5HHEePQqmhxaFW8deVhPAxXtG7Gt9fOnUv4Uk+FQ4mJdVBYOfSLzTPDQejwVsnjiHFoVdabQ6vq7dCktuQOS6Nz+9r305/MzxffBYP/fsqfPzzzW+nZgx9Od+/+VPryn/0w3WxJ0U3LiEYn7zjbgAwHq+NgoeRxxDi0omamheEKh+KtKw/jYbiiVal5VJ7ym8sVDiUm1gFcGh6j/C8jGY44h7dKHkeMQytqZloYrnCo3iKujcPS6Iwr7Pb1N9Nnd9ybHn99Kf3juMAZxqLRyU8u24AMB6vjYKHkccQ4tKJmpoXhCofirSsP42G4olWpeVSeaHTiqSusn+oYtVY2EjNrx4Nq7W27PvVGJ6Ufp/OH7knbf/l0eudnbSu/GT3R6OR9ZgcLhoPVcbBQ8jhiHFpRM9PCcIVD8daVh/EwXNGq1DwqTzQ60ehg/VTHqLWykZhZOx5Ua2/b9Sk3OrfT+z99Mx350PZodMjMOzaOgwMy2QZ05WE8DFe0IobxMFzhUGKYrwqHEuOqh+l15WE8DIcnTOtmfPvEU08VT8crHEqMQ6uSR/FNiWF6FQ5HjMLBtDbpG9Pr0NpkPYpe6GnjsDQ6P1v6WvrModyHBX4s7f3A9rR928+nfS99L73XRgca0BRndPImswMBw8GqbD7Gw3DkccQ4tCpaHFoVb115GA/DFa2b8Q37F5+OrHAoMbEOCiuHfrF5ZjgIHd4qeRwxDq3KenNoVb0dmtSW3OFpdL7/UnpgxAcH3n3/o+nZL/95+sn7W/Sry/vfdYXF1pUfbMDQ6p+vLvmK+e+S3mlqRaNz+pVXbXtimlqnsW+7pDe0+o9b5ZqCt10dlkanq8U3pTvO6OSdxgYaNxiOxyqbj/EwHHkcMQ6tihaHVsVbVx7Gw3BF62Z8izM64//AKfPjiFE4HHtMyeOIcWjdzLrGY8uh1KPoLfnadultdG7fTP/n75bT8vLwz9+9e3PLfoN5NDr5Zc82F8PBqmw+xsNw5HHEOLQqWhxaFW9deRgPwxWtm/EtGp1odLB+qkNZkyxm1o4HVX/adt3T6Ny+kZa+8Xz6lft3jv7eq/jAwLFzzzYFHsxiGK5wIIZtQFcexsNwRatSs5LHEcN8VbQqMQ6tireuPIyH4YrWSX0rv7n8+vXroKB7UImJdVBYOfSLzTPDQejwVsnjiHFoVdabQ6vq7dCktuQOS6Oz+sPX00d/7q60/QP/PP3Kr38+nThxIr1Q+/ntr30/rbSk6KZlxBmdvONsAzIcrI6DhZLHEePQipqZFoYrHIq3rjyMh+GKVqXmXJ6y0cHjMXIxfWjtgsXEOlizauAK843hIHN4q+RxxDi0omamheEKh+ot4to4DI3O+2l5/pNp+7ZfSp998++27NNT4yY3Gp28O2wDMhysjoOFkscR49CKmpkWhiscireuPIyH4YpWpeZcnmh0+B7L+Qa/q8MRo3A49piSxxHj0AqPmRaGKxyIUfRW57xN1w2Nzmq6sXAs7dr2kfT5b/99m2prjZZodPJTwTYgw8GqbD7Gw3DkccQ4tCpaHFoVb115GA/DFa2T+haNDt9jyvw4YhQOxx5T8jhiHFonXdd4XHUo9Sh6q5xtum5odFJK//jX6Q8//kD68NO/l/7q3a36RQ+jpzUanbw3bHMxHKzK5mM8DEceR4xDq6LFoVXx1pWH8TBc0TqpbxcuXChed4jHYyhaWEysg76ZtQvmG8NB5/BWyeOIcWhV1qRDq+ptbUpbc9PT6KSfpf/7FyfTPrxOZ9Tn6Tz9x+mnrSl7ukJyHmBRx094EGugW2vgmWc+kw7sPxh7N45fsQa2+ufo3P7Jf02f/iA+AfmudPf9B9MTmU9J/viJb6et+sRWnNHJN5bsPw2Gg9XxX5GSxxHj0IqamRaGKxyKt648jIfhilal5lye8/PzCd91VY5cTImVlywm1kHp1OAl843hYHN4q+RxxDi0omamheEKh+ot4to4DGd0fpZ++sefSXdv+3D6+O/9z3Rz634A8sj5jUYnbw3bgAwHq+NgoeRxxDi0omamheEKh+KtKw/jYbiiVak5lycaHb7Hcr7B7+pwxCgcjj2m5HHEOLTCY6aF4QoHYhS91Tlv03VDo1O+GPmfpee/c6NNtbVGSzQ6+algG5DhYFU2H+NhOPI4YhxaFS0OrYq3rjyMh+GK1kl9i0aH7zFlfhwxCodjjyl5HDEOrZOuazyuOpR6FL1VzjZdNzQ6KaWb76TXf213evDIf0v/6+Zqm+prhZZodPLTwDYXw8GqbD7Gw3DkccQ4tCpaHFoVb115GA/DFa2T+nbq5VPpi88/j4cXQ9HCYmIdlG4OXjLfGA42h7dKHkeMQytqZloYrnCo3iKujcPS6ODby//1wQfS3fEanewcR6OTtcWyQR0HC9eBgPE4tMJJlofhCgdimF5XHsbDcEWrUnMuD16fg7M65cjFlFh5yWKYr+BhHEqMgwN5mF5XHsbDcEVrk74xvcxXRasSw3QoHIhR9CKujcPT6Iz59nL8kcfP3VvoXVf1iY5Gp+5I7zbbgAwHi7L5GA/DkccR49CqaHFoVbx15WE8DFe0TupbNDp8jynz44hROBx7TMnjiHFonXRd43HVodSj6K1ytum6pdFpU0Ft1BKNTn5W2OZiOFiVzcd4GI48jhiHVkWLQ6virSsP42G4onVS36LR4XtMmR9HjMLh2GNKHkeMQ+uk6xqPqw6lHkVvlbNN16PRaWA2otHJm8w2F8PBqmw+xsNw5HHEOLQqWhxaFW9deRgPwxWtk/oWjQ7fY8r8OGIUDsceU/I4YhxaJ13XeFx1KPUoequcbbpuaXRur/w4/eXiYloc8/O9pWvp/TZV3qAWNDpYSF35wYIOrf756pKvmP8u6Z2W1v0P709Hjx637odpaZ3Wnu2S3tDqP26V6wrednVYGp33F0+ke0d8IjL+yBc/h+bTcldd2qTuOKOTNxAbaNxgOB6rbD7Gw3DkccQ4tCpaHFoVb115GA/DFa2T+oa9i++7KoeihcXEOijdHLxkvjEcbA5vlTyOGIdW1My0MFzhUL1FXBuHpdG5fe376U/m54t3J+AdCuXPH575rfTswQ+nu3d/Kn35z36YbrbRgQY0RaOTN5ltQIaD1XGwUPI4YhxaUTPTwnCFQ/HWlYfxMFzRqtScyxONDt9jOd/gd3U4YhQOxx5T8jhiHFrhMdPCcIUDMYre6py36bql0RlX0O3rb6bP7rg3Pf76UtqqX/cZjU5+hbANyHCwKpuP8TAceRwxDq2KFodWxVtXHsbDcEXrpL5Fo8P3mDI/jhiFw7HHlDyOGIfWSdc1HlcdSj2K3ipnm65PvdFJ6cfp/KF70vZfPp3e+VmbSm9OSzQ6ea/Z5mI4WJXNx3gYjjyOGIdWRYtDq+KtKw/jYbiidVLfotHhe0yZH0eMwuHYY0oeR4xD66TrGo+rDqUeRW+Vs03Xp9zo3E7v//TNdORD26PRIbOuLDQWw3BIUGLYglY4HDEKB9Oq1KzkccQ4tDZZD9Pr8MRVD9M6aZ5odKLRwdqpD8fad6xZ6GJaGK5wIEbRW/epLbctjQ4+GfkzmW8sP3zoY2nvB/Ct5j+f9r30vfReW6puWEec0ckbzjYgw8GqbD7Gw3DkccQ4tCpaHFoVb115GA/DFa2T+Hb9+vXijRRXrlzBw4uhaGExsQ5KNwcvmW8MB5vDWyWPI8ahFTUzLQxXOFRvEdfG4Wl0xnwy8t33P5qe/fKfp5+8v3W/1jwanfzSZxuQ4WB1HCyUPI4Yh1bUzLQwXOFQvHXlYTwMV7QqNdfz4N1W9b1bjwFvfbCYWAd1x3q3mW8MB4vDWyWPI8ahFTUzLQxXOFRvEdfGYWl0ysJu37yW/nZ5JfVamtvp5t9+L/2Pd5bTza3b4xTW1A+WpV/VS8didHBAE9uArjyMh+GKVsQwHoYrHEoM81XhUGJc9TC9rjyMh+HwhGmdxLdodOAa91aZH0eMwjGNddBzYfC3ooXFOLRCFcvDcIUDMYreQZfac8vU6PwsrfzV76Vndu9Mu+YW0o2ivvfSO6cfKZ62+hef/9aWP6ODxdaVHyzo0Oqfry75ivnvkt5paD39yqvFGR33XpiGVrfGKl+X9IZW/3GrXAvwtqvD0ujc/vs/S0fxgt7IsKcAACAASURBVOMPPp6++N//pv95OT9LKz/8dnp97kC6e9svpEfPvBNvLx+zSrCY2GAxDAe/EsMWtMLhiFE4mFalZiWPI8ahtcl6mF6HJ656mNZJ8sQZHbjG/5Of9XXQc2Hwt6Nmx5qFKqaF4QoHYhS9gy6155ah0VlNNxaOpV3bPpyenP9R/2mrSoG3LqUvP/RP0vZ9Z9LSauX+LXQ1nrrKTzbbgAwHq7L5GA/DkccR49CqaHFoVbx15WE8DFe0TuJbNDpwje8xZX4cMQqHY48peRwxDq2TrOverA7+VupR9A6ytueWodF5Py3PfzJt3/bP0wuLK5nK+p+j84ETaXGLftlVNDqZZSE0D67Nx3gYDvWOGOVA4cjj4EDNTK8rD+NhuKJVmcN6nkuXLsWLkWMdYOkMjfpaGQoQjhlsf4HTkcfBAS2K3pwPbbjP0OjcTv9v8YX0S9t2pn2nfzD09FTvk5HvSnf/2nz6yRZ9UXI0OvmlzjYgw9XNx3gYjjyOGOVA4cjj4FC8deVhPAxXtCpzWM+Dr7LBt5dXRz2mipXXWUysg9KpwUvmG8PB5vBWyeOIcWhFzUwLwxUO1VvEtXEYGp2U0j++k84+8gtp+889lD7+W/8lLXznL9Li4sX07T9+JR05+OG0fdtD6ejC/x5+WquNjkxBUzQ6eVPZBmQ4WB0HCyWPI8ahFTUzLQxXOBRvXXkYD8MVrUrN9TzR6MA1vsfqvvUeNfjbEaNwOPaYkscR49AKl5kWhisciFH0Ds56e255Gp10O73/k7fTb/+rf1qc6sUf9rWfn3s4ffZrf5VWtujZHEx1NDr5Bc82IMPBqmw+xsNw5HHEOLQqWhxaFW9deRgPwxWtk/gWjQ5c43tMmR9HjMLh2GNKHkeMQ+sk67o3q4O/lXoUvYOs7bllanT6Bd3+h7T8zsW08MffSOfnv5ne/Pal9NfXbm7ZMznlNEejUzoxeMk2F8PBpmw+xsNw5HHEOLQqWhxaFW9deRgPwxWtk/gWjQ5c43tMmR9HjMLh2GNKHkeMQ+sk67o3q4O/lXoUvYOs7bnlbXTaU1erlKDRwULqyg8WdGj1z1eXfMX8d0nvNLQePXo8ffSjH7PvhWloneZ+7ZLe0Oo/bpVrC952dUSj08DMxRmdvMnYQOMGw/FYZfMxHoYjjyPGoVXR4tCqeOvKw3gYrmidxLdTL5+KFyMLe0yZH0eMwuHYY0oeR4xD6yTrGo+pD6UeRW+dty23o9FpYCai0cmbzDYXw8GqbD7Gw3DkccQ4tCpaHFoVb115GA/DFa2T+IZ3XOHpq+pQtLCYWAdVR9evM98YDiaHt0oeR4xDK2pmWhiucKjeIq6NIxqdBmYlGp28yWwDMhysjoOFkscR49CKmpkWhiscireuPIyH4YpWpeZ6nmh04BrfY3Xfeo8a/O2IUTgce0zJ44hxaIXLTAvDFQ7EKHoHZ709t6LRaWAuotHJm8w2IMPBqmw+xsNw5HHEOLQqWhxaFW9deRgPwxWtk/gWjQ5c43tMmR9HjMLh2GNKHkeMQ+sk67o3q4O/lXoUvYOs7bkVjU4DcxGNTt5ktrkYDlZl8zEehiOPI8ahVdHi0Kp468rDeBiuaJ3Et2h04BrfY8r8OGIUDsceU/I4YhxaJ1nXvVkd/K3Uo+gdZG3PrWh0GpiLaHTyJrPNxXCwKpuP8TAceRwxDq2KFodWxVtXHsbDcEXrJL594qmn4jU6wh5T5scRo3A49piSxxHj0DrJusZj6kOpR9Fb523L7Wh0GpiJaHTyJrPNxXCwKpuP8TAceRwxDq2KFodWxVtXHsbDcEXrJL5h3+L7rqpD0cJiYh1UHV2/znxjOJgc3ip5HDEOraiZaWG4wqF6i7g2jmh0GpiVaHTyJrMNyHCwOg4WSh5HjEMramZaGK5wKN668jAehitalZrrebBv8Q3m1VGPqWLldRYT66B0avCS+cZwsDm8VfI4YhxaUTPTwnCFQ/UWcW0c0eg0MCs4YGKxdeUHGzC0+uerS75i/rukdxpasW9Pv/KqfS9MQ+s092uX9IZW/3GrXFvwtqsjGp0GZi7O6ORNxgYaNxiOxyqbj/EwHHkcMQ6tihaHVsVbVx7Gw3BF6yS+xRkduMb3mDI/jhiFw7HHlDyOGIfWSdZ1b1YHfyv1KHoHWdtzKxqdBuYiGp28yWxzMRysyuZjPAxHHkeMQ6uixaFV8daVh/EwXNG6Ud+uX79efBlvPHXF95gyP44YhcOxx5Q8jhiH1o2ua8TnhlKPojfH3Yb7ZrDRWU0rS2+mFw7d1/8G9X3pyFcvpuXVut230vLi6+nInp1p+7b70uEXL2RiUlpdvpjOze0ruHYdOpW+u3yrTkRvR6OTt4htLoaDVdl8jIfhyOOIcWhVtDi0Kt668jAehitaN+obGpzcvlW0sJhYB5iN4cF8YzgYHd4qeRwxDq2omWlhuMKheou4No6Za3RWr/5JOvnim2lpBZ3NrbR88VQ6vGNn2nviYlpZm4HVtLJ4Mu3d81xaQOOyejUtHDtYi0kprVxML+w5mI4vXE2r4Fp4Lu3dczItFtxrZPRK7oBZf5BjMTo4oIttQFcexsNwRStiGA/DFQ4lhvmqcCgxrnqYXlcexsNweMK0btS3aHTgWG8wb5X5ccQoHEwrKmI8DFc4lBiHViWPqx5FL/S0ccxYo3Mz/c3b30lXB87e3ExLZx5L23ccSws3+sDq5XR230PpyMK19Tm5sZCO7HgsnV262b+v97hdcwvpxlrUtbQw91A6cOZyGkixhuevRKOT94VtQIaDVdl8jIfhyOOIcWhVtDi0Kt668jAehitaN+pbNDpwrDfYulXmxxGjcDCtqIjxMFzhUGIcWpU8rnoUvdDTxjFjjU7O4tV0Y+FY2lVpdFaXzqQD26pNDR5Xa2KKZuieWlPT59p3Ji1toNOJRic3L54DjrL52EZnONQ7YhxaFS0OrcjD9LryMB6GK1o36ls0OnCsN7byOig9qF8qa5LFMF+Rk3EoMQ4O5FH01n1qy+0t0+jc++R8/0xP5gxPMRtodB5I2/tNTK8ZemDwrE/qNzpDTdL46YxGJ+8P24AMB6uy+RgPw5HHEePQqmhxaFW8deVhPAxXtG7UN3xrOT4ZuT4ULSwm1kHd1d5t5hvDweLwVsnjiHFoRc1MC8MVDtVbxLVxbIFGBw3ME+mFxXf7/g82NOuTUr1/VEMz6v51lty1aHRyrng2qONg4ToQMB6HVjjJ8jBc4UAM0+vKw3gYrmhVaq7mQaOD77qqj2pMHStvsxjmK3gYhxLj4EAepteVh/EwXNHapG9ML/NV0arEMB0KB2IUvYhr45jxRgcvOn4pHR54IXK1oalOSfX+UQ1N/n40MuwHiyR+woNYA91YA88885l0YP/B2LNx3Io1UFkD1b+YXbo+243OysV0cu71dHngXVLx1BVboKxzd/2HwHgYjjqYVsQwHoYrHEqMQ6uSx1UP0+vKw3gYDk+Y1o36Fmd04FhvMG+V+XHEKBxMKypiPAxXOJQYh1Ylj6seRS/0tHHMbqOz+qP0Ry9+rdbk9KageP1N5cXJxb31Fx/n3pmV+k1SvBiZrmXH5lI4lM3HeBiOYh0xDq2KFodW5GF6XXkYD8MVrRv1DU9bvXZu+CPvFS0shvmqaFVimA6FAzFMrysP42G4olWpWcnjiGG+KlqVGIdW1VvEtXHMZqODz8V58XTvM3JK11d+kM6dudB7q3iuiYm3l5dOxYFtzYn1K46Dxawd2ByewGHGw3BwOLyt5kGjg7M69VGNqWPlbRbj0IpcLA/DFQ7EML2uPIyH4YpWpWYljyOG+apoVWIcWlVvEdfGMXuNzsrldL7/ScaDr5vZWXmreHxg4LjFyDaga+MwHoajBqYVMYyH4QqHEuPQquRx1cP0uvIwHobDE6Z1o75FowPHeoN5q8yPI0bhYFpREeNhuMKhxDi0Knlc9Sh6oaeNY7YandUfpfNPll/9UH+BcP1zc8pPTUbcqK+JwFdAXEgni6+T2Jn2zr2eFuMrIOiBAgvdsbkUDmXzMR6Gu+pxaFW0uOphel15GA/D4QnTulHf8NbyOKMD17i3yvw4YhQO9zroOTD8W9HCYhxaoYzlYbjCgRhF77BT7bhnthqddng6pCLeXj5kSXEH24AMB4my+RgPw5HHEePQqmhxaFW8deVhPAxXtG7UN+xZfGhgfShaWEysg7qrvdvMN4aDxeGtkscR49CKmpkWhiscqreIa+OIRqeBWYlGJ28y24AMB6vjYKHkccQ4tKJmpoXhCofirSsP42G4olWpuZonGh041hts3VZ9Kx9Tv3TEKBxMK3QxHoYrHEqMQ6uSx1WPohd62jii0WlgVnDQxGLryg8WdGj1z1eXfMX8d0mvWyv27OlXXp3KPnBrnfZe7ZLe0Oo/bpXrC952dUSj08DMxRmdvMnYQOMGw/FYZfMxHoYjjyPGoVXR4tCqeOvKw3gYrmjdiG9XrlwpPgD0+vXreNjAULSwmFgHA5au3WC+MRxEDm+VPI4Yh1bUzLQwXOFQvUVcG0c0Og3MSjQ6eZPZBmQ4WB0HCyWPI8ahFTUzLQxXOBRvXXkYD8MVrUrNZZ5RX+ipcCgxsQ7g0vAo/R9GevcwHFEOb5U8jhiHVtTMtDBc4VC9RVwbRzQ6DcxKNDp5k9kGZDhYHQcLJY8jxqEVNTMtDFc4FG9deRgPwxWtSs1lnmh04Nb6YOu29G39EcPXHDEKB9MKZYyH4QqHEuPQquRx1aPohZ42jmh0GpiVaHTyJrMNyHCwKpuP8TAceRwxDq2KFodWxVtXHsbDcEXrRny7cOFC8dQVHlMfihYWE+ug7mrvNvON4WBxeKvkccQ4tKJmpoXhCofqLeLaOKLRaWBWotHJm8w2IMPB6jhYKHkcMQ6tqJlpYbjCoXjrysN4GK5oVWou84z6niuFQ4mJdQCXhkfp/zDSu4fhiHJ4q+RxxDi0omamheEKh+ot4to4otFpYFai0cmbzDYgw8HqOFgoeRwxDq2omWlhuMKheOvKw3gYrmhVai7zRKMDt9YHW7elb+uPGL7miFE4mFYoYzwMVziUGIdWJY+rHkUv9LRxRKPTwKxEo5M3mW1AhoNV2XyMh+HI44hxaFW0OLQq3rryMB6GK1o34tupl08lfAVEbihaWEysg5yzfI8xX8Hq8FbJ44hxaEXNTAvDFQ7VW8S1cUSj08CsRKOTN5ltQIaD1XGwUPI4YhxaUTPTwnCFQ/HWlYfxMFzRqtRc5hn1PVcKhxIT6wAuDY/S/2Gkdw/DEeXwVsnjiHFoRc1MC8MVDtVbxLVxRKPTwKyg0cFi68oPNmBo9c9Xl3zF/HdJr1PrRz/6sXT06PGp7QGn1ib2aZf0hlb/catcY/C2qyManQZmLs7o5E3GBho3GI7HKpuP8TAceRwxDq2KFodWxVtXHsbDcEXrRnx79JFHsl/oqXAoMbEO4NLwYPPMcDA6vFXyOGIcWlEz08JwhUP1FnFtHNHoNDAr0ejkTWYbkOFgdRwslDyOGIdW1My0MFzhULx15WE8DFe0KjWXebBfc1/oqXAoMbEO4NLwKP0fRnr3MBxRDm+VPI4Yh1bUzLQwXOFQvUVcG0c0Og3MSjQ6eZPZBmQ4WB0HCyWPI8ahFTUzLQxXOBRvXXkYD8MVrUrNZZ5odODW+mDrtvRt/RHD1xwxCgfTCmWMh+EKhxLj0KrkcdWj6IWeNo5odBqYlWh08iazDchwsCqbj/EwHHkcMQ6tihaHVsVbVx7Gw3BFq+pb+T1XuMwNRQuLiXWQc5bvMeYrWB3eKnkcMQ6tqJlpYbjCoXqLuDaOaHQamJVodPImsw3IcLA6DhZKHkeMQytqZloYrnAo3rryMB6GK1qVmpFn3Nc/KBxKTKwDuDQ82DwzHIwOb5U8jhiHVtTMtDBc4VC9RVwbRzQ6DcxKNDp5k9kGZDhYHQcLJY8jxqEVNTMtDFc4FG9deRgPwxWtSs3IE40OnBocbN0q8+OIUTiYVlTGeBiucCgxDq1KHlc9il7oaeOIRqeBWYlGJ28y24AMB6uy+RgPw5HHEePQqmhxaFW8deVhPAxXtKq+vfXWWwnvuho1FC0sJtZB3l3mG8PB6vBWyeOIcWhFzUwLwxUO1VvEtXFEo9PArESjkzeZbUCGg9VxsFDyOGIcWlEz08JwhUPx1pWH8TBc0arUjDzjvv5B4VBiYh3ApeHB5pnhYHR4q+RxxDi0omamheEKh+ot4to4otFpYFbQ6GCxdeUHGzC0+uerS75i/ruk16X12Wd/I+EDA6e5/l1ap6mxyt0lvaHVf9wq1wK87eqIRqeBmYszOnmTsYHGDYbjscrmYzwMRx5HjEOrosWhVfHWlYfxMFzRqvqGr3947dzoA7qihcXEOsBsDA/mG8PB6PBWyeOIcWhFzUwLwxUO1VvEtXFEo9PArESjkzeZbUCGg9VxsFDyOGIcWlEz08JwhUPx1pWH8TBc0arUjDzjvudK4VBiYh3ApeHB5pnhYHR4q+RxxDi0omamheEKh+ot4to4otFpYFai0cmbzDYgw8HqOFgoeRwxDq2omWlhuMKheOvKw3gYrmhVakaeB3fvTnhB8qihaGExsQ7y7jLfGA5Wh7dKHkeMQytqZloYrnCo3iKujSManQZmJRqdvMlsAzIcrI6DhZLHEePQipqZFoYrHIq3rjyMh+GKVqVm5MFeHfX1DwqHEhPrAC4NDzbPDAejw1sljyPGoRU1My0MVzhUbxHXxhGNTgOzEo1O3mS2ARkOVsfBQsnjiHFoRc1MC8MVDsVbVx7Gw3BFq1LzG1//RjQ6MKo22LpV5scRo3AwrSiN8TBc4VBiHFqVPK56FL3Q08YRjU4DsxKNTt5ktgEZDlZl8zEehiOPI8ahVdHi0Kp468rDeBiuaFV8O/3Kq0Wj89577yE8OxQtLCbWQdZauseYr2B1eKvkccQ4tKJmpoXhCofqLeLaOKLRaWBWotHJm8w2IMPB6jhYKHkcMQ6tqJlpYbjCoXjrysN4GK5oVWouGx3EjhqKFhYT6yDvLvON4WB1eKvkccQ4tKJmpoXhCofqLeLaOKLRaWBW0OhgsXXlBxswtPrnq0u+Yv67pNeh9ejR4+kjD35k6mvfobXJ/dklvaHVf9wq1xq87eqIRqeBmYszOnmTsYHGDYbjscrmYzwMRx5HjEOrosWhVfHWlYfxMFzRqviGRgdvLx83FC0sJtZB3mHmG8PB6vBWyeOIcWhFzUwLwxUO1VvEtXFEo9PArESjkzeZbUCGg9VxsFDyOGIcWlEz08JwhUPx1pWH8TBc0arUfOjQE+mLzz+P0JFD0cJiYh3k7WW+MRysDm+VPI4Yh1bUzLQwXOFQvUVcG0c0Og3MSjQ6eZPZBmQ4WB0HCyWPI8ahFTUzLQxXOBRvXXkYD8MVrUrN+OoHfNfVuKFoYTGxDvIOM98YDlaHt0oeR4xDK2pmWhiucKjeIq6NIxqdBmYlGp28yWwDMhysjoOFkscR49CKmpkWhiscireuPIyH4YpWpWa8PicaHTg1ONi6VebHEaNwMK2ojPEwXOFQYhxalTyuehS90NPGEY1OA7MSjU7eZLYBGQ5WZfMxHoYjjyPGoVXR4tCqeOvKw3gYrmhVfMM+HfdhgQqHEhPrAC4NDzbPDAejw1sljyPGoRU1My0MVzhUbxHXxhGNTgOzEo1O3mS2ARkOVsfBQsnjiHFoRc1MC8MVDsVbVx7Gw3BFK6v5+vXr9MMCGQdwDKY31kHfqNoF843hoHN4q+RxxDi0KuvNoVX1tjalrbkZjU4DUxGNTt5ktgEZDlbHwULJ44hxaEXNTAvDFQ7FW1cexsNwRSurGWdymtqnsQ4wG8ODzTPDwejwVsnjiHFoRc1MC8MVDtVbxLVxRKPTwKw0dQBtakG78jAehmPqHAcLJY8jxqEVNTMtDFc4FG9deRgPwxWtrOYLFy5EowOTMoOtW2V+HDEKB9OK8hgPwxUOJcahVcnjqkfRCz1tHNHoTGFW0NjUf7BI4ic8iDXQzjXwzDOfSQf2H4w9GsepWANj1sAU/lw2QhmNTgM2xxmdvMnsPw2Gg1X5L4PxMBx5HDEOrYoWh1bFW1cexsNwRSvz7dTLpxLeXs6GooXFxDrIu8x8YzhYHd4qeRwxDq2omWlhuMKheou4No5odBqYlWh08iazDchwsDoOFkoeR4xDK2pmWhiucCjeuvIwHoYrWlnN+ERkfDIyG4oWFhPrIO8y843hYHV4q+RxxDi0omamheEKh+ot4to4otFpYFai0cmbzDYgw8HqOFgoeRwxDq2omWlhuMKheOvKw3gYrmhlNT/6yCPR6MCkzGDrVpkfR4zCwbSiPMbDcIVDiXFoVfK46lH0Qk8bRzQ6DcxKNDp5k9kGZDhYlc3HeBiOPI4Yh1ZFi0Or4q0rD+NhuKKV+YY9im8vZ0PRwmJiHeRdZr4xHKwOb5U8jhiHVtTMtDBc4VC9RVwbRzQ6DcxKNDp5k9kGZDhYHQcLJY8jxqEVNTMtDFc4FG9deRgPwxWt42ouP0PnK195DWFjh6KFxcQ6yFvMfGM4WB3eKnkcMQ6tqJlpYbjCoXqLuDaOaHQamJVodPImsw3IcLA6DhZKHkeMQytqZloYrnAo3rryMB6GK1rH1Vx+ho6SxxET6wCzMTyYtwwHo8NbJY8jxqEVNTMtDFc4VG8R18YRjU4DsxKNTt5ktgEZDlbHwULJ44hxaEXNTAvDFQ7FW1cexsNwReu4mt9666304O7d1NdxHMDKwfTGOiidGrxkvjEcbA5vlTyOGIdW1My0MFzhUL1FXBtHNDoNzEo0OnmT2QZkOFgdBwsljyPGoRU1My0MVzgUb115GA/DFa3jasYXeeJdV0oeR0ysA8zG8GDeMhyMDm+VPI4Yh1bUzLQwXOFQvUVcG0c0Og3MChodLLau/GADhlb/fHXJV8x/l/RuRis+P+fppz/V2JrfjNY7sS+7pDe0+o9b5ZqDt10d0eg0MHNxRidvMjbQuMFwPFbZfIyH4cjjiHFoVbQ4tCreuvIwHoYrWsf59omnnko4q6PkccTEOsBsDA/mLcPB6PBWyeOIcWhFzUwLwxUO1VvEtXFEo9PArESjkzeZbUCGg9VxsFDyOGIcWlEz08JwhUPx1pWH8TBc0TquZuzPS5cuUV/HcQArB9Mb66B0avCS+cZwsDm8VfI4YhxaUTPTwnCFQ/UWcW0c0eg0MCvR6ORNZhuQ4WB1HCyUPI4Yh1bUzLQwXOFQvHXlYTwMV7SOqrl8a/mVK1eor6M4cH91ML2xDqpurV9nvjEcTA5vlTyOGIdW1My0MFzhUL1FXBtHNDoNzEo0OnmT2QZkOFgdBwsljyPGoRU1My0MVzgUb115GA/DFa2jai7fWj4Kx/3VoWhhMbEOqo6uX2e+MRxMDm+VPI4Yh1bUzLQwXOFQvUVcG0c0Og3MSjQ6eZPZBmQ4WB0HCyWPI8ahFTUzLQxXOBRvXXkYD8MVraNqxmtz8PUPo/ACqPxStLCYWAcVQytXmW8MB5XDWyWPI8ahFTUzLQxXOFRvEdfGEY1OA7MSjU7eZLYBGQ5Wx8FCyeOIcWhFzUwLwxUOxVtXHsbDcEXrqJpfO3eueGv5KBz3V4eihcXEOqg6un6d+cZwMDm8VfI4YhxaUTPTwnCFQ/UWcW0c0eg0MCvR6ORNZhuQ4WB1HCyUPI4Yh1bUzLQwXOFQvHXlYTwMV7SOqhmfn4OzOqPwAqj8UrSwmFgHFUMrV5lvDAeVw1sljyPGoRU1My0MVzhUbxHXxhGNTgOzgkYHi60rP9iAodU/X13yFfPfJb2Tav3QB+9NX/jCbza63ifVeqf2ZJf0hlb/catcd/C2qyManQZmLs7o5E3GBho3GI7HKpuP8TAceRwxDq2KFodWxVtXHsbDcEVrzrf33nsvYW/iBck5vLiz9kvRwmJiHdRM7d9kvjEcNA5vlTyOGIdW1My0MFzhUL1FXBtHNDoNzEo0OnmT2QZkOFgdBwsljyPGoRU1My0MVzgUb115GA/DFa25mst3XKHhyeHFnbVfihYWE+ugZmr/JvON4aBxeKvkccQ4tKJmpoXhCofqLeLaOKLRaWBWotHJm8w2IMPB6jhYKHkcMQ6tqJlpYbjCoXjrysN4GK5ozdVcfpknMAwljyMm1kHf8NoF85bhoHN4q+RxxDi0KuvWoVX1tjalrbkZjU4DUxGNTt5ktgEZDlbHwULJ44hxaEXNTAvDFQ7FW1cexsNwRWuu5uo7rnI47qsPRQuLiXVQd7V3m/nGcLA4vFXyOGIcWlEz08JwhUP1FnFtHNHoNDAr0ejkTWYbkOFgdRwslDyOGIdW1My0MFzhULx15WE8DFe05mrGO67Q7JRDyeOIiXVQOj54ybxlONgc3ip5HDEOraiZaWG4wqF6i7g2jmh0GpiVaHTyJrMNyHCwOg4WSh5HjEMramZaGK5wKN668jAehitaczU/uHt3unDhAqBiKHkcMbEOSscHL5m3DAebw1sljyPGoRU1My0MVzhUbxHXxhGNTgOzEo1O3mS2ARkOVsfBQsnjiHFoRc1MC8MVDsVbVx7Gw3BFa73m8juuyndc1XHczg1FC4uJdZBz1rOuHd6y+YN6R4xDq6LFoRV5FL35mb3z90aj08AcRKOTN5ltQIaDVdl8jIfhyOOIcWhVtDi0Kt668jAehita676V77jC/eVQ8jhiYh2Ujg9eMm8ZDjaHt0oeR4xDK2pmWhiucKjeIq6NIxqdBmYFjQ4WW1d+sAFDq3++uuQr5r9Lejeq9ejR42n/w/vvyDrfqNY7vRe7pDe0+o9b5fqDt10d0eg0MHNxRidvMjbQuMFwPFbZfIyH4cjjiHFoVbQ4tCreuvIwHoYrWuu+ffH55xN+qkPJ44iJdVB1ff0685bhYHJ4q+Rx6kDRDAAAIABJREFUxDi0omamheEKh+ot4to4otFpYFai0cmbzDYgw8HqOFgoeRwxDq2omWlhuMKheOvKw3gYrmit1/yJp55a+44rYBhKHkdMrIO+4bUL5i3DQefwVsnjiHFoVdatQ6vqbW1KW3MzGp0GpiIanbzJbAMyHKyOg4WSxxHj0IqamRaGKxyKt648jIfhitZ6zdiT1Rci13Hczg1FC4uJdZBz1rOuHd6y+YN6R4xDq6LFoRV5FL35mb3z90aj08AcRKOTN5ltQIaDVdl8jIfhyOOIcWhVtDi0Kt668jAehitaq76VL0Quv/oBGIaSxxET66BveO2Cectw0Dm8VfI4YhxalXXr0Kp6W5vS1tyMRqeBqYhGJ28y24AMB6vjYKHkccQ4tKJmpoXhCofirSsP42G4orVaM7764dFHHsFdA0PJ44iJdTBg+9oN5i3DQeTwVsnjiHFoRc1MC8MVDtVbxLVxRKPTwKxEo5M3mW1AhoPVcbBQ8jhiHFpRM9PCcIVD8daVh/EwXNFarfnUy6eGXohcxXF91FC0sJhYB3l3mW8MB6vDWyWPI8ahFTUzLQxXOFRvEdfGEY1OA7MSjU7eZLYBGQ5Wx8FCyeOIcWhFzUwLwxUOxVtXHsbDcEVrtebcC5GrOK6PGooWFhPrIO8u843hYHV4q+RxxDi0omamheEKh+ot4to4otFpYFai0cmbzDYgw8HqOFgoeRwxDq2omWlhuMKheOvKw3gYrmit1oz9WH8hchXH9VFD0cJiYh3k3WW+MRysDm+VPI4Yh1bUzLQwXOFQvUVcG0c0Og3MCg6sWGxd+cEGDK3++eqSr5j/LulVtZ5+5dWE/fjG179xx9a4qrUte7BLekOr/7hVrkN429URjU4DMxdndPImYwONGwzHY5XNx3gYjjyOGIdWRYtDq+KtKw/jYbiitfTt/Px89oXIJY7LcUPRwmJiHeQdZr4xHKwOb5U8jhiHVtTMtDBc4VC9RVwbRzQ6DcxKNDp5k9kGZDhYHQcLJY8jxqEVNTMtDFc4FG9deRgPwxWtZc25T0QGhqHkccTEOugbXrtg3jIcdA5vlTyOGIdWZd06tKre1qa0NTdntNFZTStLb6fzb5xIhz9wLC3cWM0YfistL76ejuzZmbZvuy8dfvFCWs6ErS5fTOfm9hWnu3cdOpW+u3wrwzX+rmh08v6wDchwsDoOFkoeR4xDK2pmWhiucCjeuvIwHoYrWsua8bZyvL08N5Q8jphYBzn3Peva4a1jjsv1lq+0d69Dq5LHVY+id1y9dxKbyUZndelM+pePP5F+dcddafuOXKOzmlYWT6a9e55LC2hcVq+mhWMH094TF9NKdTZWLqYX9hxMxxeuptV0Ky0vPJf27jmZFlcyHVH1cbXr0ejUDOnfZBuQ4aBRNh/jYTjyOGIcWhUtDq2Kt648jIfhilbE/P4ffK34hyX3QmTFV1dMrAM4OTzYPDMcjA5vlTyOGIdW1My0MFzhUL1FXBvHTDY6PaNvpqUzj+UbndXL6ey+h9KRhWvrc3JjIR3Z8Vg6u3Szf1/v8bvmFtKNtahraWHuoXTgzOW0kVYnGp01AweusA3IcJA5DhZKHkeMQytqZloYrnAo3rryMB6GK1oR86UvvVA0OrieG0oeR0ysg5z7nnXt8NYxx6iQ8Ti0KnmYDoUDMYpexLVxbMlGB2d8DmyrNjWYmloTUzRD99SamtV0Y+FY2rXvTFraQKcTjU5+6bMNyHCwKpuP8TAceRwxDq2KFodWxVtXHsbDcEUrYp599jfS3Oc+h6vZoeRxxMQ6yNpP95jivcNbJY8jxqEVTjItDFc4EKPozc/snb93CzY6o870oNF5IG3vNzG9ZuiBwbM+qd/oDDVJ4ycyGp28P2wDMhysyuZjPAxHHkeMQ6uixaFV8daVh/EwXNGKmP0P7x/6xnLcXw4ljyMm1kHp+OAl85bhYHN4q+RxxDi0omamheEKh+ot4to4tmCjM9jQrE9K9f5RDU3+fjQy7AeLOn7Cg1gDd2YN/OfTv1vs0c//u38f+zCORbEGJlwD638vu3UtGp21+Zq80VmjGHElzujkjWH/aTAcrI7/ipQ8jhiHVtTMtDBc4VC8deVhPAxXtF66dKlodOrfWI7HlkPJ44iJdVA6PnjJvGU42BzeKnkcMQ6tqJlpYbjCoXqLuDaOLdjoxFNXbCGyDejaOIyH4aiDaUUM42G4wqHEOLQqeVz1ML2uPIyH4fCEaX3t3LniqSvEjhpKHkcM0wp9jjwODmhhel15GA/DFa2Kt0oeRwzzVdGqxDi0qt4iro1jCzY6KRWvv6m/7bz+4uPcO7NSv0mKFyPTtezYXAqH42Ch5HHEOLTCeKaF4QoHYpheVx7Gw3BFK77IEy9GHjeUPI4Y5is0OvI4OBRvXXkYD8MVrYq3Sh5HzKytA3jb1rElG52Ua2Li7eVra5RtQMcmRzLGw3BwMK2uPIoWFuPQ2mQ9TC+rV9GqxCh5xmnF01V4+vh3XnoZ6UYOJY8jZpzWUpwjj4MDepheVx7Gw3BFK2IYD8MVDiWG+apwKDGuehS90NPGsTUbnRQfGDhuMbIF7do4jIfhqIFpRQzjYbjCocQ4tCp5XPUwva48jIfh8GSc1vL1Ofgiz3FDyeOIGae11OfI4+Bg3gJ35WE8DFe0KnqVPI6YWVsH8LatYzYbneLsTPWdUDtrn4eD6biVli+eSofx6cnb9qUjX7044isgLqSTh+5L27ftTHvnXk+L8RUQcWAbsZvZwW/WDmysXtjkiFE4xnmL1+fgqSvGw3BXPeO0lkvLocXBAT1MrysP42G4olWZQyWPI4b5qmhVYhxaVW8R18Yxm41Oy5yOd13lJ4RtQIaD1XGwUPI4YhxaUTPTwnCFQ/HWlYfxMJxpRZODZofxMFz1jfHEOoCTw4P5xnAwOrxV8jhiHFpRM9PCcIVD9RZxbRzR6DQwK9Ho5E1mG5DhYHUcLJQ8jhiHVtTMtDBc4VC8deVhPAwfp7V8fQ6+34rxMFz1jfHEOoCTw4P5xnAwOrxV8jhiHFpRM9PCcIVD9RZxbRzR6DQwK2h0sNi68oMNGFr989UlXzH/XdI7Smv5/VZtWs+jtLZJY1VLl/SGVv9xq1wL8LarIxqdBmYuzujkTcYGGjcYjscqm4/xMBx5HDEOrYoWh1bFW1cexsPwcVpPvXwqffH55xFC51DJ44iJdVBMx9Av5i3DQejwVsnjiHFobXJdK3qHJrUld0Sj08BERKOTN5kdLBgOVmXzMR6GI48jxqFV0eLQqnjrysN4GD5O64O7d6e33noLIXQOlTyOmFgHxXQM/WLeMhyEDm+VPI4Yh9Ym17Wid2hSW3JHNDoNTEQ0OnmT2cGC4WBVNh/jYTjyOGIcWhUtDq2Kt648jIfho7ReuXKl+PwcXDbpG9Mb66CYjqFfzDeGg9DhrZLHEePQ2uS6VvQOTWpL7ohGp4GJiEYnbzI7WDAcrMrmYzwMRx5HjEOrosWhVfHWlYfxMHyU1vPz8+nRRx4BXAzGw3CQOGJiHfQnpHbBvGU46BzeKnkcMQ6typp0aFW9rU1pa25Go9PAVESjkzeZbUCGg9VxsFDyOGIcWlEz08JwhUPx1pWH8TB8lNbybeXAMRgPwxUOJSbWQTEdQ7+Y/wwHocNbJY8jxqFVWW8Oraq3Q5Pakjui0WlgIqLRyZvMNiDDweo4WCh5HDEOraiZaWG4wqF468rDeBie03r9+vXiaSt8KnI5GA/DweOIiXVQzsjgJfOW4WBzeKvkccQ4tCpr0qFV9XZwRttzKxqdBuYiGp28yWwDMhysjoOFkscR49CKmpkWhiscireuPIyH4TmtFy5cSHghcnUwHoaDyxET66A6K+vXmbcMB5PDWyWPI8ahVVmTDq2qt+uz2a5r0eg0MB/R6ORNZhuQ4WB1HCyUPI4Yh1bUzLQwXOFQvHXlYTwMz2nFW8rLt5UDx2A8DFc4lJhYB8V0DP1i/jMchA5vlTyOGIdWZb05tKreDk1qS+6IRqeBiUCjg8XWlR9swNDqn68u+Yr575LeqlZ8eSf2HD4ssI3ruKq1jfrqmrqkN7T6j1vleoC3XR3R6DQwc3FGJ28yNtC4wXA8Vtl8jIfhyOOIcWhVtDi0Kt668jAehte14mkr7Dl8/UN1MB6Gg8sRE+ugOivr15m3DAeTw1sljyPGoVVZkw6tqrfrs9mua9HoNDAf0ejkTWYbkOFgdRwslDyOGIdW1My0MFzhULx15WE8DK9rzT1tpdSs5HHExDrAbAwP5i3DwejwVsnjiHFoRc1MC8MVDtVbxLVxRKPTwKxEo5M3mW1AhoPVcbBQ8jhiHFpRM9PCcIVD8daVh/EwvKq1/BJPnNWpD8bDcPA5YmId1Gemd5t5y3CwOLxV8jhiHFqVNenQqnrbm8n2/Y5Gp4E5iUYnbzLbgAwHq+NgoeRxxDi0omamheEKh+KtKw/jYXhV66inrZSalTyOmFgHmI3hwbxlOBgd3ip5HDEOraiZaWG4wqF6i7g2jmh0GpiVaHTyJrMNyHCwOg4WSh5HjEMramZaGK5wKN668jAehle1jnraSqlZyeOIiXWA2RgezFuGg9HhrZLHEePQipqZFoYrHKq3iGvjiEangVmJRidvMtuADAer42Ch5HHEOLSiZqaF4QqH4q0rD+NheKl13NNWSs1KHkdMrAPMxvBg3jIcjA5vlTyOGIdW1My0MFzhUL1FXBtHNDoNzEo0OnmT2QZkOFgdBwsljyPGoRU1My0MVzgUb115GA/DS63lhwTW320FHIPxMFzhUGJiHRTTMfSL+c9wEDq8VfI4YhxalfXm0Kp6OzSpLbkjGp0GJgKNDhZbV36wAUOrf7665Cvmv0t6oXX/w/vT009/qvVrt0u+dnEdxLHLf+wq10EDfy6nkiIananYOkgaZ3QG/ShvYfOMGwzHY/FHgw3Gw3DwO2IcWhUtDq3Iw/S68jAehkPr77z0n4a+2wr3VwfjYTi4HDHMV1ceh1ZoYXpdeRgPwxWtirdKHkcM81XRqsQ4tKreIq6NIxqdBmYlGp28yWwDMhysjoOFkscR49CKmpkWhiscireuPIyH4dD6zDOfSY8+8giujhyMh+EgdsTEOshPEfOW4WB1eKvkccQ4tCpr0qFV9TY/s3f+3mh0GpiDaHTyJrMNyHCwOg4WSh5HjEMramZaGK5wKN668jAehkPr/b94f3rt3Pize4yH4apvjCfWAZwcHsw3hoPR4a2SxxHj0IqamRaGKxyqt4hr44hGp4FZiUYnbzLbgAwHq+NgoeRxxDi0omamheEKh+KtKw/jYfilS5eKp62uX78O2SMH42E4iB0xsQ7yU8S8ZThYHd4qeRwxDq3KmnRoVb3Nz+ydvzcanQbmIBqdvMlsAzIcrI6DhZLHEePQipqZFoYrHIq3rjyMh+H47JwD+w9C8tjBeBgOckdMrIP8NDFvGQ5Wh7dKHkeMQ6uyJh1aVW/zM3vn741Gp4E5iEYnbzLbgAwHq+NgoeRxxDi0omamheEKh+KtKw/jGYfjLA7215Ej/xaSx45xPHggw10xsQ7y08T8ZzhYHd4qeRwxDq3KmnRoVb3Nz+ydvzcanQbmIBqdvMlsAzIcrI6DhZLHEePQipqZFoYrHIq3rjyMZxx+fn6+eBGyw9txeeAHhiPGoVXR4tCKPEyvKw/jYbiitUnfmF7mq6JViWE6FA7EKHoR18YRjU4DsxKNTt5ktgEZDlZl8zEehiOPI8ahVdHi0Kp468rDeMbhD+7endDsOLwdlwd+YDhiHFoVLQ6tyMP0uvIwHoYrWpv0jellvipalRimQ+FAjKIXcW0c0eg0MCtodLDYuvKDBR1a/fPVJV8x/23X+6UvvVA8bfX7f/C11mut7qe2+1rV2oV1UNXbJW+7pLVcBw38uZxKimh0pmLrIGmc0Rn0o7yFzTNuMByPxcGCDcbDcPA7YhxaFS0OrcjD9LryMJ5R+CeeeiqdevlUMf1Ma5O+jdJbCBV8VbQqMUyHwoEY5q0rD+NhuKJVqVnJ44hhvipalRiHVtVbxLVxRKPTwKxEo5M3mW1AhoPVcbBQ8jhiHFpRM9PCcIVD8daVh/Hk8KWlpeJszpUrVyA11kHhwuCvnG+DEXwtKd668jAehitaEcN4GK5wKDGzdjxAzW0d0eg0MDPR6ORNZgcUhoPVcbBQ8jhiHFpRM9PCcIVD8daVh/Hk8LnPfS7hpxwOb3N5Sv7y0hHj0Ao9TAvDFQ7EML2uPIyH4YpWpWYljyOG+apoVWIcWlVvEdfGEY1OA7MSjU7eZLYBGQ5Wx8FCyeOIcWhFzUwLwxUOxVtXHsZTx8u3lOOsTjkc3tbzlNzVS0eMQys0MS0MVzgQw/S68jAehitalZqVPI4Y5quiVYlxaFW9RVwbRzQ6DcxKNDp5k9kGZDhYHQcLJY8jxqEVNTMtDFc4FG9deRhPHcfrcurfa+Xwtp4HHtSHI8ahFbqYFoYrHIhhel15GA/DFa1KzUoeRwzzVdGqxDi0qt4iro0jGp0GZiUanbzJbAMyHKyOg4WSxxHj0IqamRaGKxyKt648jKeKl2dzLly4AIlrw+FtNc8ace2KI8ahFbKYFoYrHIhhel15GA/DFa1KzUoeRwzzVdGqxDi0qt4iro0jGp0GZiUanbzJbAMyHKyOg4WSxxHj0IqamRaGKxyKt648jKeK587mKFqVmqt5EJ8bjphYBzlnPeva4a1jjlEh43FoVfIwHQoHYhS9iGvjiEangVmJRidvMtuADAersvkYD8ORxxHj0KpocWhVvHXlYTwlPupsjqK1Sd9KvciZG7EOcq7wPcZ8BavDWyWPI8ahFTUzLQxXOFRvEdfGEY3OFGYFjU39B4s6fsKDWAOTr4FfffxQuv8X7499FMeSWAN3aA1M4c9lI5TR6DRgc5zRyZvM/tNgOFgd/xUpeRwxDq2omWlhuMKheOvKw3iAl5+bU32nFTSWw+Et04FcjhiHVkWLQyvyML2uPIyH4YrWJn1jepmvilYlhulQOBCj6EVcG0c0Og3MSjQ6eZPZBmQ4WJXNx3gYjjyOGIdWRYtDq+KtKw/jAV7/3Bzoqw6Ht0wH8jliHFoVLQ6tyMP0uvIwHoYrWpv0jellvipalRimQ+FAjKIXcW0c0eg0MCvR6ORNZhuQ4WBVNh/jYTjyOGIcWhUtDq2Kt648jOf0K68WTwWPOpujaG3SN1ZPrAPMxvBgvjEcjA5vlTyOGIdW1My0MFzhUL1FXBtHNDoNzEo0OnmT2QZkOFgdBwsljyPGoRU1My0MVzgUb115GM9HHvzI2ndaQVduOLxlOpDXEePQqmhxaEUepteVh/EwXNHapG9ML/NV0arEMB0KB2IUvYhr44hGp4FZiUYnbzLbgAwHq7L5GA/DkccR49CqaHFoVbx15RnHc35+Pn3og/cmvONq3HB4O05HmdsR49AKPUwLwxUOxDC9rjyMh+GKVqVmJY8jhvmqaFViHFpVbxHXxhGNTgOzEo1O3mS2ARkOVsfBQsnjiHFoRc1MC8MVDsVbV55RPGhuHty9Ox09ehxyxg6Ht6N0VBM7YhxaoYlpYbjCgRim15WH8TBc0arUrORxxDBfFa1KjEOr6i3i2jii0WlgVqLRyZvMNiDDweo4WCh5HDEOraiZaWG4wqF468oziueLzz9ffNXDKBway+HwVsnjiHFoRd1MC8MVDsQwva48jIfhilalZiWPI4b5qmhVYhxaVW8R18YRjU4Ds4JGB4utKz/YgKHVP19d8hXzfyf1/s5LLxcvQMYLkZW1eCe1KvqqMV3SeqfXQdU35XqXvO2S1nIdNPDnciopotGZiq2DpHFGZ9CP8hY2z7jBcDwWBws2GA/Dwe+IcWhVtDi0Ig/T68pT53nvvfeKMzk4o6PUq2hVeOo6iuS1X44Y5quiVYlxaEUepteVh/EwXNHapG9ML/NV0arEMB0KB2IUvYhr44hGp4FZiUYnbzLbgAwHq7L5GA/DkccR49CqaHFoVbx15anzvHbuXPHaHDQ8Sr2KVoWnrqNIXvvliIl1UDO1f5N5y3DQOLxV8jhiHFpRM9PCcIVD9RZxbRzR6DQwK9Ho5E1mG5DhYHUcLJQ8jhiHVtTMtDBc4VC8deWp8ly6dKl4ygqX5aji5X31S4e3Sh5HjEMr6mdaGK5wIIbpdeVhPAxXtCo1K3kcMcxXRasS49Cqeou4No5odBqYlWh08iazDchwsDoOFkoeR4xDK2pmWhiucCjeuvKUPDiDg3dZlU9ZQQNGifdvZi8c3ip5HDEOrYovDq3Iw/S68jAehitam/SN6WW+KlqVGKZD4UCMohdxbRzR6DQwK9Ho5E1mG5DhYFU2H+NhOPI4YhxaFS0OrYq3rjwlT/kuq/IpK2jAKPH+zeyFw1sljyPGoVXxxaEVeZheVx7Gw3BFa5O+Mb3MV0WrEsN0KByIUfQiro0jGp0GZiUanbzJbAMyHKzK5mM8DEceR4xDq6LFoVXx1pUHPG+99dbIr3lQ8ji8VfI4YhxaZ3UdoK5RQ/He4a2SxxHj0AqvmBaGKxyIUfSOmrs7fX80Og3MQDQ6eZPZBmQ4WJXNx3gYjjyOGIdWRYtDq+KtK89XvvJa0eTgU5BzQ8nj8FbJ44hxaJ3FdcC8ZbiyZpv0jemdtXWQ27ttuS8anQZmIhqdvMnsQMBwsDoOFkoeR4xDK2pmWhiucCjeOvLgaSp8xUP9dTnIXw4lj8NbJY8jxqEV3jAtDFc4EMP0uvIwHoYrWpWalTyOGOarolWJcWhVvUVcG0c0Og3MChodLLau/GADhlb/fHXJV8x/E3r3P7w/4eeNr39jU2uuCa2uPdElrU2tg63obRfXQQN/LqeSIhqdqdg6SBpndAb9KG/h4DZuMByPxcGCDcbDcPA7YhxaFS0OrcjD9G42z6mXTxXvssJTV+OGkodpbdI3ptehtcl6mF5Wr6JViVHyMK2uPIoWFuPQ2mQ9il7oaeOIRqeBWYlGJ28yOxAwHKzK5mM8DEceR4xDq6LFoVXxdjN58KGA2BdLS0vUWyWPw1sljyPGoXVW1gHqKAfzluHgcXir5HHEOLSiZqaF4QqH6i3i2jii0WlgVqLRyZvMNiDDweo4WCh5HDEOraiZaWG4wqF4O2meCxcuFE0OLhUtSh6Ht0oeR4xDq8s3pR6mV+FwxCgcTGuTvjG9Dq1N1qPohZ42jmh0GpiVaHTyJrMDAcPBqmw+xsNw5HHEOLQqWhxaFW8nyVM2OdV3WDEehitam/SN6Y11gNkYHsw3hoPR4a2SxxHj0IqamRaGKxyqt4hr44hGp4FZiUYnbzLbgAwHq+NgoeRxxDi0omamheEKh+LtRvOUTQ5em1MdjIfhilbEMB6GKxxKzFZfB/AoN5j/DAenw1sljyPGoRU1My0MVzhUbxHXxhGNTgOzEo1O3mS2ARkOVsfBQsnjiHFoRc1MC8MVDsXbjeQZ1eQoWpQ8Dm+VPI4Yh1aXb0o9TK/C4YhROJjWJn1jeh1am6xH0Qs9bRzR6DQwK9Ho5E1mBwKGg1XZfIyH4cjjiHFoVbQ4tCreqnnGNTmuehzeqvVA87jBeBxakZ/lYbjCgRim15WH8TBc0arUrORxxDBfFa1KjEOr6i3i2jii0WlgVqLRyZvMNiDDweo4WCh5HDEOraiZaWG4wqF4q+T50pdeKF54XH+6CvzlYDwMB4/DWyWPI8ahFTUzLQxXOBRvXXkYD8MVrUrNSh5HzKytA3jb1hGNTgMzg0YHG6MrP9iAodU/X13yFfO/Wb3PPvsbRZPzhS/85tTX02a1Nrneu6TVsQ7C2/yxpIvroIE/l1NJEY3OVGwdJI0zOoN+lLdwABw3GI7H4mDBBuNhOPgdMQ6tihaHVuRhekflwdc64CsdsO5xRoeNUTzl4xiuaEUM42G4wqHEMF8VDiXGVQ/T68rDeBgOT5jWJn1jeh1am6xH0Qs9bRzR6DQwK9Ho5E1mBwKGg1XZfIyH4cjjiHFoVbQ4tCre5vJcuXIlfeKpp4pPPMb1XAy4q4PFMBxcDm+VPI4Yh1bUzLQwXOFQvHXlYTwMV7QqNSt5HDGztg7gbVtHNDoNzEw0OnmT2cGC4WB1HCyUPI4Yh1bUzLQwXOFQvK3nuXTpUtHgoNG5fv06KKhWJaaepyCu/XJ4q+RxxDi0unxT6mF6FQ5HjMLBtDbpG9Pr0NpkPYre2rZszc1odBqYimh08iazAwHDwapsPsbDcORxxDi0KlocWhVvyzx4qqr8Sge86Bi3y1HGlLdzlyyG4eB0eKvkccQ4tKJmpoXhCofirSsP42G4olWpWcnjiJm1dQBv2zqi0WlgZqLRyZvMDhYMB6vjYKHkccQ4tKJmpoXhCofiLfLgu6oefeSR4kwOzujUh0OLwuHwVsnjiHFoVebQoVVdB/V5r992aFE4HN4qeRwxDq1tWgf1OW/T7Wh0GpiNaHTyJrODBcPB6jhYKHkcMQ6tqJlpYbjCwbzFWZvyXVVzn/vc2lNVeFx1OLQoHA5vlTyOGIdWeMy0MFzhQAzT68rDeBiuaFVqVvI4YpivilYlxqFV9RZxbRzR6DQwK9Ho5E1mG5DhYHUcLJQ8jhiHVtTMtDBc4RjnLT4AEGdxPvTBexOujxsOLQqHw1sljyPGoVWZQ4fWceugnHdXHsbDcEVrk74xvbO2Dsr10MbLaHQamBU0Olj0XfnBBgyt/vnqkq+Y/7re06+8mj760Y8Vbxt/+ulPpTe+/o3WrJO61jav3y5pza2D8NZzbOjiOmjgz+VUUkSjMxVbB0njjM6gH+UtHDDHDYbjsThYsMF4GA5+R4xDq6LFoRV5Sr14B1X5uTh4mgqvy1F0uGKUekqthbARvxgPw131OLQqWlz1ML2uPIyH4fCEaW3SN6bXobXJehS90NPGEY1OA7MSjU4LYdFcAAAR8klEQVTeZHYgYDhYlc3HeBiOPI4Yh1ZFi0Mr8vyH57+UbXCAYbjyMB6GQ4vDWyWPI8ahVfHfoVXx1pWH8TBc0dqkb0zvrK0DeNvWEY0OmZnV5Yvp3Ny+4nT9rkOn0neXb5FHDMPR6Ax7gnvYgYDh4HAcLJQ8jhiHVpdv4+rB625w5gbrtnoGpz6L4zjKWEeMwuHwVsnjiHFobWIdlHPI9Do8cdXDtLryOGp2aG2yHkVvuWbadhmNzrgZWbmYXthzMB1fuJpW0620vPBc2rvnZFpcWR33qCEsGp0hS4o72MGC4SBRNh/jYTjyOGIcWhUtk2jF01P4LJwHd+8uGhx8Hg7O6Iwbk+TJ8TEehoPT4a2SxxHj0IqamRaGKxyKt648jIfhilalZiWPI2bW1gG8zQ0cW6qfrZWLmfZ90eiMdPhmWjrzWNo1t5BurMVcSwtzD6UDZy6njbQ60eisGThwhR0sGA4yx8FCyeOIcWhFzUwLw0sOHIDeeuut4isbsEbxTqrz8/NrbxVnetU8A5OeucF4GA5KprWsOZN+7S4ljyPGobXJephehyeuephWVx5HzQ6tTdaj6IWe+sDr+3BsKV/bV8ebuB2NziiXVy+ns/vuqTU1q+nGwrG0a9+ZtLSBTicanbzJ7GDBcLAqm4/xMBx5HDEOrYqWcVpxsMGZm/0P7y/O3OAMDs7e4Hup6oPpHZen5HLEKBxM62Z9c9bj0NpkPUyvMj+OGIWDaW3SN6bXobXJehS95T6pXlY/OR1Nz504uxONTnVGKtdXl86kA9seSEcWrlXv7TU62x5LZ5duVu4ffzUanbw/7EDAcLAqm4/xMBx5HDEOrYqWqlY0NjhLU77mBmsR30WFD/vLNTfVmWJ6q3mqj6ted8QoHEzrRn2r1lC9rmhhMQ6tTdbD9LJ6Fa1KjJKHaXXlUbSwGIfWJutR9ELPqIFjUfmFv+zzt0ZxTHp/NDpZ5/pnboYamlH3Z0nW7oxGZ82KgSvsQMBwkCmbj/EwHHkcMQ6to7TgaaiyqcFn3OCAgnWHH5w2xlkbHFwQN4qjACq/mF6HJ4oWJQ/T6sqjaGExDq1N1sP0snoVrUqMkodpdeVRtLAYh9Ym61H0Qg8b+McLxyX881Uej9hjNotHo5N1cFRDk7+//IMSl70/rOFD+BBrINZArIFYA2wNoNlpYkSjM8Llpp+6GiHjjtyNxdmVEVqnN1Ph7XS87ZKvcKBLekPrdNasax3cqdfrRKMzal0UL0Z+qPYand47sbZP4cXIo2TcifvjYDEd17vkKxzokt7QOp01G+sgfC0d2Owew1PreBodP5cuXSppG7mMRmekzc2+vXykjDsAbHZBNyk5tE7P7fB2Ot52yVc40CW9oXU6a3Yz6wBnccqvkME7PuNdV9Obo8mYG/zAwMkETudRcbAIX+FArINYB7EOprMGuubrZvTidTh4cwTO6NypEWd0iPOryxfSyUP3pe3bdqa9c6+nxSl9BQSREfAIB7r0x3hECa29O7ydztSEr9PxFazhbfu8beqdVeMqj0ZnnDsmLDafycgMTXibMcV0V3hrMrJGE77WDDHeDG+NZtaouuxtNDq1yZzGzS4vkGn44eQMb51uDnKFt4N+uG6Fry4nh3nC22FPXPd02dtodFyrYAxPlxfImLJaAYW305uG8HY63oav0/EVrOFteJtzIBqdnCvm+2LzmQ2t0IW3FTPMV8Nbs6F9uvB1Or6CNbwNb3MORKOTcyXuCwfCgXAgHAgHwoGZcCAanZmYxigiHAgHwoFwIBwIB3IORKOTcyXuCwfCgXAgHAgHwoGZcCAanWlO4+pyWvzqXNqLb5He8UQ6eXE5rU4z38xy30hLC99MXz/xRLp3biHdyNZ5Ky0vvp6O7NmZtm+7Lx1+8UJaDrOzTq3dubKU/vTEE2lX8S3noz8nanX5Yjo3t694/cOuQ6fSdyf4LKm1nFvlyupy+u6Lpbf70pH5y2llqPZYs0OWbPCO1avz6akdj6WzSzcHHxnH3kE/1Fs3FtKRHdUvIx32tovHg2h01AWw4bh30+KJR9PeY98q/uCuLn8rHd/zaHph8d0NM23tB+CrOJ5Mv3ro0eIP8q5so7OaVhZPpr17nksL+CO8ejUtHDuY9p64mPnjsrXdXKt+9Ufpj148nf50qdc2rn0w5p6TaXGl0iGaPh18Le+WuPJuujT/Rr8hvJWWL55Kh3c8UPvevFizm14Kqz9K55/Eh7nW/xjHsXcyb2+lq/Of7v/j02926t/r2NHjQTQ6k60I+qji2893HEsLN8o/GqvpxsKxtKu+cChTBBQOFF+yujNlG53cF7AW/5nUD4DhZenA6t9cSG9fvVXe7Fm8dCYd2Fb9g+z7vreBRDN+Y9jba2lh7oHBtRtrdpOrAM3Mp9O/mXs87ao1OnHsndBaNDH7Pl/5m1Xn6e7xIBqd+lxabvcWxNC3nMcf38ndHdPoFAe22sEuJfxxeSgdOHM5ni5UXS/WZ6XRKTy/p+ZhNOyqnWtxhY+DZ3Njza65M8EVnA17KR0+8Z10Ff88Duz9OPZOYGhKqb+vi686ejWdX1gaPhve4eNBNDqTrYrxjxr1R7n4Q7Kz9odjPFWgfQdGeZr6B7aBs2d4TO+/6KFmMwwd7QDW5wc+nc73z/T0/hhXGp/ikeUBMc6WjTayRFbTytJCOjv3yXR84Wql4Y41Wzo00SXOPBx6KS2uvN87S15tdEYdJ+LYO97qvm/4HKLeD16zN5+WKk9jd/l4EI3O+OmfDB21qUbdP1mWrfWoUQewkQ1NNDobWyBoYD6fDqy9rmlUQzPq/o1lm/3o/vpbe6F39Y/GqLU56v7Zd0uvEE9Z/Xr/tY6ZtTjqGDvqfj3x1ojEi7i/+Wr/TR07K69zzHhdODLq/nbZFY3ONOZj1KYadf80NMwaZzQ6053Rtf+Sa68pq/63XCjoxoFtumZtgL3y7p9dT86nq4W9oxqaUfdvIN9Mh+Ipq9Pp+PyP+mfHMmtx1DF21P0z7dcmiive0LEvbV87U57xuqAfdf8mck/hodHoTMHUNOqPcmy2yd0e5Wk8dTW5p2uPfDctvvhcOnt58I37XT5VvVZaK67Un6qq3y5FRqNTOpG9XLmYTh77Zr9ZRETmj+yo40Qce7OWjr2z8Gz9qesuHw+i0Rk705OCvQNZ/R1CvYUSr22YyNVRBzAc7vBuobX/PPrsRXz9hbQTZZ7xB91KV795Op2rNTlF0YWHD9XeFt3/Ix3vHtzQuqiv0frtdb9jzeaNLZua8jUkmctiTcaxN+/fBPcW+//x9c8o6vDxIBqdCeZfecjwgay/UeMPhGLfcEyxyeLt5cPGbOaeW2l54XQ6OfBC2Rvp8ldfT28XH4uQ+6OBsw7xbraNud7b+/euPXWF7vxyOruv1kQW/0HHP0K6t2XzM+hZHHt1B8dG3lhIx49VP6C1u8eDaHTGzvRmwPjQqs24N/TYcY1Oig9fG/KL3nEjLc0f631q99o7LTIfEtbRDwij5U8toP+ha3vm0rnF3iehFx8Wuu+TtacGY81ufgryjU5KcezdqLery4vpj765uPZp8sUHiM6d6H0Aa5Wso8eDaHSqk+i+Xv0Y+MqBz51mtvnKg1n1VPXgf3C9+stPoEXcvnTkqxfXNu1s+zNJdZlPQF1rdoY//mDtU5OLz9h4PS3GV0CMMX01rVw+lw6vfYz+fenwifkRnsWaHWOkAJXHhszxII69gn/rIb1P7sfX5/S+ruiFN94eeGv5emRKXTweRKNTncG4Hg6EA+FAOBAOhAMz5UA0OjM1nVFMOBAOhAPhQDgQDlQdiEan6kZcDwfCgXAgHAgHwoGZciAanZmazigmHAgHwoFwIBwIB6oORKNTdSOuhwPhQDgQDoQD4cBMORCNzkxNZxQTDoQD4UA4EA6EA1UHotGpuhHXw4FwIBwIB8KBcGCmHIhGZ6amM4oJB8KBcCAcCAfCgaoD0ehU3Yjr4UA4EA6EA+FAODBTDkSjM1PTGcWEA+FAOBAOhAPhQNWBaHSqbsT1cCAcCAfCgXAgHJgpB6LRmanpjGLCgXAgHAgHwoFwoOpANDpVN+J6OBAOhAPhQDgQDsyUA9HozNR0RjHhQDgQDoQD4UA4UHUgGp2qG3E9HAgHwoFwIBwIB2bKgWh0Zmo6o5hwwO3AalpZejO9cOwP0tJqj3t16Uw6sO2BdGThmjvZBvneTYsnfj29sPjuBh9XCV+9nM7u25l2zS2kG5W7PVdvpKVvvZSOf/Vy6lvnoU2o+/H01PyPzLwmeUETDrTMgWh0WjYhISccaJcD19LC3ANp+74za41OO/StphsLx9K9T86nq94uwlfejYV0ZMfOdOCMu9FJKYH7A59O56/e8ukNpnBgRh2IRmdGJzbKCgc8DrS00Vm5mF7Y83g6u3TTU+Y0WKbZ6KSbaenMY1M6EzUNM4IzHLhzDkSjc+e8j8zhQMsd6Dc52+5K24uf3tNVg09dlY3Qf0zn3zyZDu/ox+6ZS+cWr6YbeNrr0H29x+94Ip28uDzwdMvq8sV0bm5fn39n2jt3Ji0ssSeRbqWr859Ou6pnmcqm4sQb6c0TT6RdhV7wvZ4Wl6+lpW+ta9t16FT67nL/TMjAU1e9s0S7tj2Wfnfh7Yqu+9LhE2+mpZXy1FG/5h3H0sKN8r7+WZYdd/Waj0JP6dtdaXslltd8Iy0tnElH9uwc68vq1fn01I7H2t3stXyFh7yt4UA0OltjnqPKcGBCB8pGZv2pq2yjsw1NxXyvGVi9mhaO9ZqX9abiRrp85sm0a8f60y29P9T3pcMvXkjLRb8wHJMVXTQn9ww+JbTWWOxLR+Yvp5WU0uryt9Lxolmo5Fj5QTp76L60q3zKK9vo3JW27zmWzvcbrh7PPWnviYsFb0pCowPhZfNVeeqK17yaVhZPpr07nkxnL/cbvtLPamMH/pwPWcPiznBgazsQjc7Wnv+oPhwgDoiNTuWMRUrrZ0aqTy1lG6T6H+9+EzH2xcFFA1F7MXS/0Rl83LD21H/KZ+0MS7bRqXGXjc2a1kkbnZwe2N+7v6e995SU9pqoUXxkSgMOB7aYA9HobLEJj3LDgY05MPzHNNuwbLTRyTYmUNb/Qz/AN6i4l7/2lE2Wb1j7EL/U6NQ19XnrGusaituVFyPX8bWyqvzv987o4F1t899OC/NvV54yW3tA/0r1cZWn0OphcTsc2OIORKOzxRdAlB8OjHdguFnINjprZzvAJpzR6f/R7732p/JalvL1QPUmYk1knjv3NFF5pmTw7EitObgDjQ6vGW/pfzudPzOX9pZ+7JlLZxeW+k+dlWbUainvjstwIBwYcCAanQE74kY4EA4MOjDNRqdytmMw6dhbo8/o1PmGtd/5Mzp1jWNLLcDV5cV0vniBdf0ptWh0uHsREQ6kFI1OrIJwIBwY48Bws2A5o1O+LqV8UfCaAnwY3sHxn9tTnA2q/dGvP01U8A1r9zQ6IxqM+lNTQ5p6etZeCL3hmutNUq6+NdK4Eg6EA30HotGJpRAOhANjHOj/US+emrqZVlbeT55GJ6XcO5CW5o+lvdsOjv+049y7jYaaCpSUawRqTcpET12lvgf3pcNnftB7Omnlcjrff5v82guiqzr/YSXh3em85r6+yru+UrqRCl8q71grJqzKP2YGAwoHtroD0ehs9RUQ9YcDxIH1t2n3zii8P/AVELlmIv86msEGCUnxWpSFdHbtc3TuSrsOnUjnFwc/a2dYXp+/+rqghhudovmofDbPdnxu0MVvpd8d+DqJW2l54bn+62zKF08LNa8up8X5E+ufSbQt70v2Kbxhs+KecGDLOxCNzpZfAmFAONBBB4pPRn50/JmfDpalS+6d+Vk7e6Q/MCLDgS3nQDQ6W27Ko+BwYBYc6J3VafV3XU3TZpzBiu+6mqbDwT1DDkSjM0OTGaWEA1vKgeITgz+9Bc/qxLeXb6l1HsVu2oFodDZtYRCEA+FAOBAOhAPhQFsdiEanrTMTusKBcCAcCAfCgXBg0w5Eo7NpC4MgHAgHwoFwIBwIB9rqQDQ6bZ2Z0BUOhAPhQDgQDoQDm3YgGp1NWxgE4UA4EA6EA+FAONBWB6LRaevMhK5wIBwIB8KBcCAc2LQD/x/iRrriemrzSgAAAABJRU5ErkJggg=="></p>
<p>There were <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>400</mn></math> athletes who took between <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>22</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math> minutes to complete the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo> </mo><mtext>km</mtext></math> race.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of the median distance in kilometres (km).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The first <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>150</mn></math> athletes that completed the race won a prize.</p>
<p>Given that an athlete took between <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>22</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math> minutes to complete the <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo> </mo><mtext>km</mtext></math> race, calculate the probability that they won a prize.</p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>A biased four-sided die, <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math>, is rolled. Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> be the score obtained when die <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math> is rolled. The probability distribution for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> is given in the following table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>A second biased four-sided die, <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>B</mtext></math>, is rolled. Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi></math> be the score obtained when die <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>B</mtext></math> is rolled.<br>The probability distribution for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi></math> is given in the following table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>X</mi><mo>)</mo><mo> </mo></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the range of possible values of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, find the range of possible values of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, find the range of possible values for <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo></math>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Agnes and Barbara play a game using these dice. Agnes rolls die <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math> once and Barbara rolls die <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>B</mtext></math> once. The probability that Agnes’ score is less than Barbara’s score is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math>.</p>
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>Y</mi><mo>)</mo></math>.</p>
<div class="marks">[6]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>A school café sells three flavours of smoothies: mango (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="M">
<mi>M</mi>
</math></span>), kiwi fruit (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="K">
<mi>K</mi>
</math></span>) and banana (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
<mi>B</mi>
</math></span>).<br>85 students were surveyed about which of these three flavours they like.</p>
<p style="padding-left: 210px;">35 students liked mango, 37 liked banana, and 26 liked kiwi fruit<br>2 liked all three flavours<br>20 liked both mango and banana<br>14 liked mango and kiwi fruit<br>3 liked banana and kiwi fruit</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the given information, complete the following Venn diagram.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the number of surveyed students who did not like any of the three flavours.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A student is chosen at random from the surveyed students.</p>
<p>Find the probability that this student likes kiwi fruit smoothies given that they like mango smoothies.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The fastest recorded speeds of eight animals are shown in the following table.</p>
<p style="text-align: center;"><img 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67/+TYakYM3HQxuxyl8u/vH0O5uRq9cIFcLqje8Alu2EW72ANb829BvOKzooO/CWv1DbLc9heNuBrd1I27pf4hq6115TVGdnuCgdR8dDb+BEZuwa3MaYgOhj12M71a9hm1fjkGfb7DlgctuhlHsoVQqviczwmz3cwlFbQ/htJpQlZ/inX7yU8+3ryqOFwcg79X4ni1DD6PZ3h8wpSnlkfNokXo/lQqa/AM4P2j7vDi8DHXQZ2jEKXA29EazogdWyBlIBr4qlx3nq/Kh4Z+rUpBfVefloSmHudcHyp/BULr556ar0RLwfAhLzxLkpnPgv1Bq7msozF8F+J1xeB/2k1WoTi/Bi5lzoMYUcJlF2JV+GuUn7b6RlMduQnn1Qux6MQucmq8rCy/uWojqchPsQcw8WrHDtdzEBi1PJy6duAQu9ymkxQdregq41H9EzjOpgtEAD1ztdSjSFuPi7JfhcDMwtxUVsy9iY/IGVAXsgTxwWQ9jQ9obuPXMKfQxBmYvw7yr53HUKTOV50OYvqfDKvMXUeHgp6lu9P3qK7i4cQ2KTR/6HAlwonFzFerjnsM5vi53F47NeQe6LQZFLymrGw9x01SC1FUXMLvCCjdfru/nSL5YDG3xGdwUHFCUc9VZxBQ1evOwB3Dsehx1WSV4XdKNl7N4DfJbM2Huc4Oxyyib0Yyd+xvlDfqnh62bfzG6GgUB9X+CVvsFIWB5Sz9Ed+eHSC5ZjXTJzwXfv4qUZI2ss56BtOzlaD3xR3QI/nAfHZfeQWNKIubGSt8PNeLTnkJu6zu41HF/FMJFYBH52dTK46flz8YkLR6hPbKjwW+xptJUxhXUsy63XArvfegMzOZmzG0zMB3WMoPtHmNMLFPaxHrkRYT2OaYzXGduJh1VLpWRMor3pWO+A8ocrKxUB2PMry3l/VRW2nQruJzu68ygm+8vJ1fE6rseyCoS9ZfkDFTGx0MqptBNuj0On+PuS+Mg85hU2WdjTYYyllfWyBwyf/X6p2R3qSWFHwk25NiA70cwX5KqifBPpS9J4XxCwrGnuxPX5CMdqVVhCiZ7iyhMgcQ3gb3vo6HOgZSlXxFHXlKhWMxNnge0dqBLuWgvlfHr1QDEapCc8rhYwR1YGhrh5BKRMFtaV+MfqRE7NxEpg54ELObBDdi6Aq28SceFa7A4YaasB5ZkcKCu4X30YiYyKyxwVKSh23wWJpMJJtMR6LMyUdj4sb+cKUuwyLf+xz8S9Rdz+X88im7+NdHVcAl40GsuhyYuGVmF+3D03d/j3Q5p+cIDV1cHWjEPyXMDLop4G3E5YGuFYjQ23PajJ9+EBi317AQs5gLAjc9EhYOJbxHvwWZY68sUNNBJOZwd6Ox+KF0Jn0OWked27kPWtJj+bRcqFWKSCzHIxEteeoi0FfuzZvnVrYpZiMJGKXLzU99a5GumITnrl7hyl58j/A2yf2WCQQe02hz9a2tDtBTw8bjqFrDFKL6pRnzmXjj46b3lKEpRgzXacphu+vtmFAMaM9UnNGghfgnWlTwNp98C5eC6BA10UrEBIyVgyDJSWf5TZ4CNXyfj15z8/llQkTlTnnMU6bUw2O4p6vW246jIRLzHjpPFZTi/sh5d7gZUFDyLnJxnkKn5GLZWKbCNolmpyLjqJjVCn/4E+DXZXOx7Yw90zv+BKzZ+tDXUyFysQZgJjEFn5S9QxF1NbNDCdPzddwpQgBrs/vUwtzTEP4HsXA1aL38Ap9/bExe6bDcAv0VL0T5SGeVIRRh+S9MufhFUB671Ktqc8t6QXxw/gIyhNqoO6gri4il3HZfbPpIt6PNvAVtQlSFuApWmA4qpr6fvLm776pfkVE6DRf19+eQJqcx46CZvh9LBCKgTv471us/4HiuvvQ/4BfsOOHXfxLLEqYA6AcvWL/OVkRLemcMyrF+W4L/UIGWItk/5Gp5ywUv+bOzSbtZ3vYblcRzTlhpYk01aKnezPtvv2anKPMZhEcurfIfZ+viVTCn/IpZXfUlc3Oxh1w0FjMPTrNLyF0E0/4V4xtxd9ayAW8TyDK2sj8/Rd53Vl+oYIC3E81V3svqCRYzLO8SuOPhFbl6Gelaqnc+0lVe85QIuxEsL/8qFVTmlB6yrvohxXB6rvuJgwpqsJIO2mlkE3cTFdO1PWJPQPmNuxyVWnbeI8bbwLcgKcqYybWm9yKSH2erLmBZgCLgQP0zd5OKOcXpifGmMhR7L6ni/mS9/eXKP2Qxr+20qtMXb/+viCxdv44IfSzYVbomL9eILp7EUMVzqUvoSP3Xx/Skf+h6MR4J/y1L/a1aq5YQvKN82uDxWeeqMLJBJDfPBpIkZhKADIfD4BzwpiMjfBPJl3mGVYgAAdKz01G9Ype+tnFi38Lan1BsAJBnqLf1vfkYdtPj6e5itySDTkQ/G9cwiBig+h9txhdX49ALj8irZqaY/sHr+jan87WefjTUKAZ3X31tPfeXq4EGLr3wo3UQE4/Exob40HgqMoE5vB6ljpTVXvH7j7mJNZWv7O0yprr4rrFL7NCtr6mJu9oA5mn7CtL4OTMr0F2apXM204ttHt6ORlWlX+zpnKVc0fSp9afKCVjRRHxddA/Xc49LQqCpVOtqoKgmXQn2tzODrHL0dT71FHF0rdOgfSfMzjaN+HZgvq9vBrlTzMw4waEtZTZC6fPkjPKH0pQHnHtIRYqG2QMC/St+JBRs/wh7zARQsiPfutG85ghdXv42Uc8ewPXV6qAktvDElXwo5s4SlQHSEWNiZTY147TacO7QQFzOnidsnPoPUw/fwzLkjKAnBgBV2iEngsCJAI62wMlf4CKvsHcNHcpI01AgofWmCtzyEGg6ShwgQgXAjQEEr3CxG8hKBKCdAQSvKHYDUJwLhRoCCVrhZjOQlAlFOgIJWlDsAqU8Ewo0ABa1wsxjJSwSinAAFrSh3AFKfCIQbgQH7tMJNAZKXCBCB6CAg/cLiMaW60gPlfbomAiMhoNwQOJKylJcIyAkofYmmh3I6lCYCRCDkCVDQCnkTkYBEgAjICVDQktOgNBEgAiFPgIJWyJuIBCQCREBOgIKWnAaliQARCHkCFLRC3kQkIBEgAnICFLTkNChNBIhAyBOgoBXyJiIBiQARkBOgoCWnQWkiQARCngAFrZA3EQlIBIiAnED4BC2XHebTVcjXqMTDHVRQZehhNDXD7vI7elqu38Sne83QazTINrb3nyztuQlzebYo9zocMb2GbFUa9Ob+c6QHE9RjN44o/2B10bPJJPAQTmsd9BkawRc0+Qdw3t7rL5DgPzIfV0lphU/5l4qqq/AIWp4PYSpeg43nPosi6wP+rEYw5kbfG5m4c3YbtEV1aA+lwOXnQh70Nh/Gxpovo76Ll/0kvpfzPBqYBRWZM/1y0kUkE/DAZT2MTa/1Ys3xTjDWA/PyNuRry2G6+VBU3INeywXUOQNxWIb1yxIQHl/YQPKP3b0wYMB/6d/AVuNC7HmpEOncFFF7NWKTslHy0gtIOfoLvNlyZ+yojGlND9Hd2QEn4jE9bsDv08e0JaoshAl47DhZfhqL89eLPhyPBZtexqGVF7H1tUvwjrfuwHJ1Fo45pI6Z75wZWE8TSp/+JpYlTg1hBSdOtDAIWtKXPjAUdVKBOGqJhd24DipNOcy90nSRP+i0HBrlVEwYgsumZ/zU06hHhjQU56edZjtcUpPilC9D/xqq8lO8Q3u9Gb3gh/sm3z2VJh9Vb19Ft1TO0w5j9jwkF54CnPuQNS0GGr0Zd5XTPWX7qmzojWbFtPcBuq/+S39bqhTkVzUo8kgN02eoEfB0/BEnGucgeW5sv2jqz2PR0oVw1l2AhfdZjwdz/6kQmb6Omc96H/bTBlzL+ToSw+Db2q/c+KXCAMNUJGb/FxRwp1Co3YKq02dhVq4DCHymInHZN6FzNqLBIo267sDS0AgnHLjWeVtcYxKH4NAhO20G4GqDsWgNNl78IiqEHu4BHBVfxMWNWqyqaukPXHCiue49zCi7DOb+CM2b/w5q62FsSHsDt545hT6+R7SXYd7V8zgqDe/VC1DQcAM2w1qAK0NTjxuOikzwZ0T3/92F9fUSbLz4Ffyqzy30rG7HdsTUbca2k/b+dTG04ejvOjDvpctinmrM+V0RtrxukcnYXyulQomAB66uDrQOEGkKZickgnN2oLP7IaD+GyTN9/cOeDpxyTQLW7Ln0dRQ5BcGQQtQz1mNg83voHLFVexYuxpZyfxJyxpk6I/AJBsRqRO/jvW6u/0BynMbndeADXlPovXEH9EhDMC8gQy5TyEtHuhtOY6d55fj0N7vicP2KeDSf4BfHNsE244qnLTf97kal/tdPMsfSy84lxstJ9+CrVSPl3IWQOg/Yxcg5yU9SjlfkaETnm68d74dKcufRFKs1xxqbgX2/r4DDQULZI6aitJdJchJ8jq1mvsGNuUuQfP5NjikgeXQrVGOSSGgRuzcRKTgEk5c6pR1RKIwXCISZkvLHv4C8iM0099+G0/NCfzcP3d0XIVF0AK861fba1vhdlhwpr4epypXwLZ/M9ZkJSMpv9a7EK9OwLL1S9AoBihhSN6qw6aif0RKawe6+MX63vfRUAfkZj+BeIgjsZQlWOQ3JJec7AZsXb5Jor9HCPU4kJKs8QYs6WmsBskpj0tXQ3+qZ+OrKxagceebONNi9gvCQxcGIOk1rMyUabIIqJO+DX2pBo07K1HT7l3B8jgt+G8NVjhTEjFX7LD85buPjkst+FvBV/2fRPNVmAStfhOpuVQ8k5ODZ7fXwsF6YKsvQ/LRMhQLUylxitj4Di51fCwMyf+U+xSeTPsG1qdcFKaNnu5OXJOmhsJIzNFf+YCUfFrp/1CoR5oG+j8a4dV0pG4/DtuxJ3G3vkIIwnHCKNIYZBo8wuope4gQmInMXcfRWPIpdi6cBn79s/rye/ig5U/QrQ+yXiVMDf/Gu4wRIlqEghihH7SExWyNsICt2NECIB5Jq/OQq4NvdOWdIt6ErasTloaLmM+PhNQzkbAYuNb5f2C/9A5ahamhGhDuawaxgwaLE2bKpmj9WdWzE7B4JNPA/qIBUvFIysxBQUUDGHsAh+UQnu4+gCztz2QvFQIUo1vhRSA2CSuEzpaBOWpR8kQMrtnWQf9sUkAf804NtUiLD/2v6UQaIvRpCFO+Zf1vWALSeby/txIC0QPUGSpgqJsj7m2ZgbTs5Witq8K+upvi1JCviL+vA9d6FW1Oaa8Mf19aOJ3n/7ZH3nb8E8jO1aDV5vBfCHc5YGv9WJ5zhOkp4FJXY3P+qv4F2hHWQNlDn4DHeR47t5zDinOlyAwYlGhqGMyKoR+0MBVJ616GYcU5bNxWDZPV6VvI9DhbUFtWjMKHRdi7TuqtvIEIx4/iOKQFTnGNqvk4jtqWy4bbasSnb8CeFRextfwIWoTA5YGrvQ7bNtYguXI71iUF2xszE9rny7GyrhjbjG3ewOVqh+nVCuwfybRRGEkmIkNv6t++4LLjQoMVKPgvyKa9OcF8Nzzvi7/seO4bxzCr4pcoSZ0eWA+aGgbmAn6FOxz+Yheh4M1GnMuZhivbUxEj7qeKST2MW39fBtu5YqT6FjLViE97CrkcwEnTQF5R4c0iBygXPfm6D9fj2PI/Q6/5DFSqGMT94AMsP9aMc9vT/RfZFay8bzWrkHLxO4jjZYorxpW/L0ClbiQL8QuwqeYEts06C21cjPenPnFrcXbWFpzb8y3MCQ8LKcjQ5QAC0s9z4rahoXcJXrr2Jl5I54J+AT0dV3BZ+y2kBxyFDag9qm4MOPeQjhCLKvuPm7LKY5/GrSGqOOIJKH2J+vGINzkpSAQiiwAFrciyJ2lDBCKeAAWtiDcxKUgEIosABa3IsidpQwQingAFrYg3MSlIBCKLAAWtyLInaUMEIp4ABa2INzEpSAQiiwAFrciyJ2lDBCKeAAWtiDcxKUgEIosABa3IsidpQwQinsCAn/FEvMakIBEgAmFJQPqJ4YDjYaQHYakVCR0yBJS/FwsZwUiQsEfFKnsAACAASURBVCOg9CWaHoadCUlgIhDdBChoRbf9SXsiEHYEKGiFnclIYCIQ3QQoaEW3/Ul7IhB2BChohZ3JSGAiEN0EKGhFt/1JeyIQdgQoaIWdyUhgIhDdBChoRbf9SXsiEHYEKGiFnclIYCIQ3QSiLGjdhlmfBpWmPMjJzeLzbCPsnuh2DNKeCIQqgSgLWqFqBpIrOgj0wn7+API1Ku/5lpp8VJ23+59QzoPwOGGt1SODP0tTk48DLf0HFEcHp8G1pKA1OB96SgTGiMBD3DSVQ5vfhuXmHvC/8XVbN+LO3uew23xb1sZdWKt/iO22p3Dc7c1zS/9DVFvvyvJEd5KC1lD253s9U1V/76jSIENvhNneK5YUp5QZehypyodG6B2l6edDOK110GdovD2rKht6oxl2F809h8Iecc89N9DwhgnI/S6eXRAvqKfmvoFNuXNQ1/A+JG/y2E0or16IXS9mgVMDai4LL+5aiOpyEy1ZiE5BQWvQbwff630Pq85+FkXWB0LvyNz/hl0xJ5C1xQCrPPg0/ysuzdgBO3sAR/MWpMd/ipumEqSuuoDZFVa4GQPr+zmSLxZDW3wGNyluDUo+4h6qZyJhsQbOlvfw7z6/caHL9jFys5+AN4zdR8eld9CYkoi5sdJXU434tKeQ2/oOLnXcjzgso1KIyf4A/nsZyX+3WFNpKuP1HPSfzsBsbsZYTxMr5VJZadMtPyhum4HpsJYZbPcYY2KdXBlr6uELiX9CWY7pDNeZ7G7QOqVikfIZ+b40Uku5WZ+lmmkBxuXVsOt995ijqZKVVl9iDslB3NeZQccxrrSJ9cirD+ZL8jwRnFb6khTORxXwwrYQV4amHrd35MSPgHz/bqGpNLVfrfhMVDgsqEi/A7PJBBP/z6hHVnIhGvtzBUh50Gu5gDqnBosTZsIPcqwGySkOvylBgAroVsQRUCM2tQjHrxzCivObsDBuHjZ1fgv7XlgqTAMFdV0O2FqBlGQNYiNO/7FTyO/7NHbVRkpNvWg3FkITl4ysX1yBsBQ6fSV+Zfk1dLgBW5drCEWt2J81S1zPEt8YxSxEYaNziHL0ODIJPIa46XORUrIPpVqgsbAYO803QSsFI7M2Ba1BeHnsp1Fc2IKV9Z1w/74CBTk5yMn5z9D0/G+0DlKu/9FaGGz3ZCO5/lGdoyJTXMfoz02pSCbggau9DsXVbnyn5EVUNP0bmsqAfVlb+t8MCqNwoNXmGLgNIpLRjFA3ClpBgXng6upAKxZi6aLPy6Z4n6LvrvSuJ1hhcfGUu47LbR/596SuFlRlJCLb2O5/P1hVdD8yCHjsOFm8G13pX/FOB9VzkLn3BCyVwA7pzaA6AcvWLxugr6e7E9ecy7B+WYLMDwdki5obFLSCmloKPJdQV/Pf4RTG8A/hbDmC8q2HMeQEL34Znj+0HG9vfRkHpc2BrnaYdu/CDhRh77okcsCg7CPwgbBe9bFCsXh8eckT4Hx3pyJx2TeRUncBll5p0ih2nrpvYlniVF/OaE5Q0BrM+vHL8KNzFUh/Nx+aGH5NKhUv/mEm8s+cQmm/pwWpYQrm5OxF87Hl6NanIobfvxW3FmdnbYHleBFSfa+0gxSn25FFIH4J1pUsQePOStS0iyN11wc4XfsuVm7JQqL4TVQn5WBvyXXs/lmT0FF6nE342e7rKNmbgyT6tnp9Qv6mVPlqUf6M0kRgJATIlwLQcjuYpaZU2PbA8wGXxyobbaxPmdXtYFeq8xjH59GWshqLw3/bjDJ/hF8rfWnAuYd0hFhkdfCTpY3y2KfJkoPaDX8CSl+iAWf425Q0IAJRRYCCVlSZm5QlAuFPgIJW+NuQNCACUUWAglZUmZuUJQLhT4CCVvjbkDQgAlFFgIJWVJmblCUC4U+Aglb425A0IAJRRYCCVlSZm5QlAuFPgIJW+NuQNCACUUVgwI74qNKelCUCRCBsCEi/1nlMKbH0QHmfronASAgof3oxkrKUlwjICSh9iaaHcjqUJgJEIOQJUNAKeRORgESACMgJUNCS06A0ESACIU+AglbIm4gEJAJEQE6AgpacBqWJABEIeQIUtELeRCQgESACcgIUtOQ0KE0EiEDIE6CgFfImIgGJABGQE6CgJadBaSJABEKeQJQGrfuwG9dBpVoHo/1+UCN57EZkq9KgN98OmoceEAEiMLEEojRoDQ+yOqkADcyCisyZwytAuYjAoAR6YT9/APka/gxNFVSafFSdt8OlLONxwlqrR4aY54B02K8yX5ReU9CKUsOT2hNN4CFumsqhzW/DcnMP+N/4uq0bcWfvc9jtN5K/C2v1D7Hd9hSOu715bul/iGrr3YkWOGTbo6A1iGkGTg89cNnNMOqzvT2lSoMMvRFmu3hiMDzoNZdDo1qHI+Zm1PrypSC/qgF2l3TU+SCN0qPIJOC5gYY3TEDud/HsgnhBRzX3DWzKnYO6hvfh8yC7CeXVC7HrxSxwakDNZeHFXQtRXW6CndzHyy0yPWQ8tPLA1V6HIm0xLs5+GQ43A3NbUTH7IjYmb0CVX094Cpt3NyKu8JS3R3VUY87virDldcvAqcB4iEp1hh4B9UwkLNbA2fIe/t3XebnQZfsYudlPwBvG7qPj0jtoTEnE3FhpPKFGfNpTyG19B5c6gq+/hp7C4yeRRGb8WoiYmu+g5c1f4PzKn2Jv8VKhF4SaQ/oLP8ex0m7s8OsJU1G6qwQ5SVKP+nd4Kn06ms+3wUG9ZcR4xMgUmYH0dd+FtrkEq4rq0O66D6e5Bg2zy/Ajrbhm6unEpROXwC1OwOwB38xLOHGpE+Q+wAA0IzNEFOXufR8NdQ6kLP2KN2D5VI/F3OR5QGsHunw9qO+hmBhOHmUZuo4sAmrEphbh+JVDWHF+ExbGzcOmzm9h3wtiB8gr63LA1gqkJGsQG1nKj6k2FLSGidPT3YlrzkEyOzvQ2f1wkAz0iAg8hrjpc5FSsg+lWqCxsBg7zTdp9DRCx6CgNUxg6tkJWMwNkplLRMLsKYNkoEfRTcC7Jlpc7cZ3Sl5ERdO/oakM2Je1pf/NYKwGySlAq81Ba5+DOAsFrUHg+D2KfwLZuRq0Xv4ATr+FBX4x9Qbgt3jqV5IuiADgseNk8W50pYvLC+o5yNx7ApZK9K+HqhOwbP2yAbS8o/xlWL8sgdZzQGtaAxwk+I0ZSH9uG1a8/WOUH7wsBq5etBv12Lh/Nir35iCJuoDg+KL9ibBe9bGCQjy+vOQJ9A/gpyJx2TeRUncBll6pZ/TA1dWBVt03sSxxqqJ8dF5G+dfsFAqTPyvuuRJ3KfO7kAP+vEeN2AW5ONx8EMu7X4Emhs+3AD+wLcUx23FsT50enR5EWg+PQPwSrCtZgsadlahpF3dluT7A6dp3sXJLFhLFb6I6KQd7S65j98+ahI7R42zCz3ZfRwl1iv2cmewP4LcV0R8ReHQC5EsBGLodzFJTyrQA4/mAy2OVjTbWp8zqdrAr1XmM4/NoS1mNxcHcyjxRdK30pQHnHtIRYv0BnVKjJ6A89mn0NVHJaCeg9KUonx5GuzuQ/kQg/AhQ0Ao/m5HERCCqCVDQimrzk/JEIPwIUNAKP5uRxEQgqglQ0Ipq85PyRCD8CFDQCj+bkcREIKoJUNCKavOT8kQg/AhQ0Ao/m5HERCCqCVDQimrzk/JEIPwIDNgRH34qkMREgAhEAwHp1zqPKZWVHijv0zURGAkB5U8vRlKW8hIBOQGlL9H0UE6H0kSACIQ8AQpaIW8iEpAIEAE5AQpachqUJgJEIOQJUNAKeRORgESACMgJUNCS06A0ESACIU+AglbIm4gEJAJEQE6AgpacBqWJABEIeQIUtELeRCQgESACcgIUtOQ0KE0EiEDIE6CgFfImIgGJABGQE4jsoNVrhl6jgkZvhnjSnFx3QHiuQbaxHdLRmP4Z6IoIjBUBD3rN5dAI52rKz9gMdM5mL+zmszhdlY/EYL47VmKFYT2RHbTC0CAkcqQSuANLQyOcgdTzOz36PuzGF/DT2ho8v+MolGdSByoebfcoaEWbxUnfySHQ24arn9kHh5vxJyKL/9zoadqFp9d/3XfCNDAVSQUGvPXmPuzRcZMja4i3SkFLaSCXHWajHhnSMD5DD6PZDpeUT5xSZuhfQ1V+CvhfoHunn/yQ3gh9hka4p1JpkKE3wmyXT0wfwmmtk+XJht5oht1Fk1MJb6R+ev76BfxTaRY4+TfOY8fpij8hZ1kC5LcjlcFY6UWs5CRdbTAWrcHGi19EheMBGHsAR8UXcXGjFquqWvoDF5xornsPM8oug7k/QvPmv4PaasCWjZeR/Kt2by/q/jfsijmBrG2nYRdi0kPcNJUgddUFzK6wws33tn0/R/LFYmiLz+AmxS25JSIurebmY36s/9fN0/FHmOauQXbi1IjTd1wVYrI/gP++RdBfTxMr5cB4vYL/45jOcJ25mZv1NJUxjiti9V0PZBDE+1jLDLZ7jIl1cqVNrMeX6x6zGdYy6AzM5vbd9E8I5aS2ZI+E+6mstOmW7Gb4JyPOl8bcJLzPbAlud/d1ZtBxzN/PxlyIsKhQ6Uv+oX9cw+PkVc6VNqHHt44grScwsJ4mlPqWDcSF0pQlWMRNkQmrRuzcRKTgBmxdvkmi7DmfnALNV78GbeMvYTjz32E2NSumfB70Wi6gzqnB4oSZ/lOBWA2SUxyoa3g/8BtORUt0GSEEPJ24ZPobZKfNiBCFJk6NqAhaw8LpuY3Oa45BsjpwrfN2kK0RasSmFuOcrQpP3v0tdq/JQHJcDFTK9TBYsT9rlrjmJb72jlmIwsaA75QGkYUehTsBYWr4t1qkxdNXcKS2JGISMfVMJCzWSFcBPgOMkvxyqRGbpEVOQQV+zxjcDgvqn+7GzqwN2G2+LeZcC4PtnuztUf+oz1GRiXi/+ugicgncR8elFvxt9hNk81EYmYKWD9oMpGXrwLVeRZvzoe8u4IGrqwOtmIfkubGy+4Mn1VwqcjbnI5fjR2h3EJv2FHK567jc9pH/aM3VgqqMRNrgOjjOyHpKU8NHsicFLR8+NeLTN2DPiovYWn4ELULg8sDVXodtG2uQXLkd65KCveXhNwSugyqjHCbfFode2C9cQAtysCV7HtTxy/D8oeV4e+vLONji9AYuVztMu3dhB4qwd12S/1qXTy5KRBoBmho+mkUpaMn5xS5CweF6HFv+Z+g1n4FKFYO4H3yA5ceacW57OoKPs6YiadNBWLbNwFntNHHNahq0Z2dg27mXsHoOv7A/BXNy9qL52HJ061MRw+8Di1uLs7O2wHK8CKmK1+FysSgdSQT4qaEN2nVLgkwNxZ/7iGudzv1ZmKZaB6P9fiRBeCRdBpx7SEeIPRJPKiwSUB77RGCIwGgJKH2JRlqjJUnliAARmBQCFLQmBTs1SgSIwGgJUNAaLTkqRwSIwKQQoKA1KdipUSJABEZLgILWaMlROSJABCaFAAWtScFOjRIBIjBaAhS0RkuOyhEBIjApBChoTQp2apQIEIHREqCgNVpyVI4IEIFJIUBBa1KwU6NEgAiMlsCAn/GMtiIqRwSIABEYTwLSTwwfUzYiPVDep2siMBICyt+LjaQs5SUCcgJKX6LpoZwOpYkAEQh5AhS0Qt5EJCARIAJyAhS05DQoTQSIQMgToKAV8iYiAYkAEZAToKAlp0FpIkAEQp4ABa2QNxEJSASIgJwABS05DUoTASIQ8gQoaIW8iUhAIkAE5AQoaMlpUJoIEIGQJxDZQavXDL1GPH6eP7IrwD+N3ozeYZrJYzcim45zGiYtykYExodAZAet+ExUOPqPnud/ouT914PrhgJweBolQc+fGx/gVCsR4Al4nFacPV2FfL5T1ZTD3OsJCMZz04RCDZ17KIcT2UFLrqkv7YHLasAPCluwwvAzfD91uu8JJYjA+BN4CGfLYTyXugmmzi8gv7kHzLEXmfEBvoqeD3Hm5R/D6Bx/qcKphQCkwkn8kcvquXkGxatKYCv4KfZuWuR3arTH2YJafbY4jdQgQ2+E2XfMvdTWJ7jT9q+oyk/x5tPko+q8HS7psTAl5cu+5ssjTUH53tVUlQ+Nb5qaDb3RDLsrcC8rVUmfkUKA7zAPY8PqFiw+04g3t69HZlJ8EOXuwlpdicsznwAXJEe03o6uoCX1XMk/wbE938Icmfb8MPx7qYUwz34ZDjc/jWzHr5IvY6O2HKabD2X+cQY7tp5FTFEj3MyNvuZncGvvP2JVVUt/4IITzXXvYUbZZTD3R2jenIZ4VwuqN2zB2ZjNsAr1M7gd2xFTtxlbXrfIysqaomRkEXBZ8Pr2tzDv0CsoTucgcz+FnnxwO4rXsBEl2V9SPKNLfo3H9wf4XfruR0biL8xS+TQDnmaVlr8oVLrFmkpTGXQGZnPLH3nvc6VNrIcx5rYZmA6LWEF9J+vP5mY9TWWM48pYU4+bsZ4mVsqBSWW8tSny+Jq4x2yGtQHa9WUI20Rk+9JozCLaWlvKDKcqWR4HBixieZXvMFtfvzcJNfddYZV5B5ml7xOvb2EtM9jujabRiCij9KXgwT6iAjrfc72J7Ts+REH9YZQo17F630dDnRXc4gTM9iMSi7nJ8+CsuwCLb6F0IZYu+rysl1Qjdm4iUpyNaLDcCUJNjfjMvXA49iC9+w8wmUwwmU7DqH8GyYWngpSh2xFFwNOJSyeuQpu+CF9d+jxqHW70Xd8OVD+nGGnfhfX148DzeUiN9XPGiMLxKMpEBRX5OtYrq78kCzj+6Jz7szDNt97Eb5H47NgFFVcbjPlfRVzyBvziyv8DoMb07P2wGNYCrR3oonUtf2NE2pXLAVvrdKRnr0QqN0Wwf+yC9XhpzzI076jCSft9/p0iXNbfoH7eCwM71kjj8Qj6DPg/lz5CXaFZ1LeOVQ3LwdV+61j+AnPQGcx4u2BB0KDm6fYvMfyr+7CffAWF55ejvqsaOXN4p+X/bsOsvwEgUbymj0gl4OnuxDUnsNhPwalIXPZN6PBL2LpcgOYGjtRzKNoTvGP1Kx6lFxE+0uLfwBRhzdvpMPyqMPhwO/4JZOdq0Hr5Azj9XuTdhbXqW1BlG2H33b/hdTCfw3jg6upAK6dDdtoM313/hAtdthtAyhIsEnpZ8annr7h7+4F/VrqKSALq2QlYzDlwrfM2fK7k03Qekuc+jt6WM6jctxpzY6SN0DGYlrUPTpxCYfJnFX7oKxx9CflKnXLBS/4s/NJu1mepZtoBC+eBNXF31bMCbhHLq77EHMK6aA+z1ZcxrWzh3rsQDwZtGau3CUvzrO96DcvjZIvzgy3EQ8fKmrq8i/huB7tSncc4gEFaxA8sWljejSxfGgsTiC91CupZl2/dXXxBM+AFkNSe+JwW4iUgwmcEj7TuoOXkW2hGG4xrEhDjt1Yl9WT9u5HVc1bjYPNBLO9+BRqhp5sG7dkZ2GY5olhfWI3KbWm48epSqFQxiMs0I6W2HgdzBhvSqxGv3YZzNYvxbtZcryxzX8QfvpCPM/WltA8nKsYKM6F9vhwr3/4xymvahC0uHue7MNR+iJK9OUiK4G/iWJt3wBFidBrPWCOOzvqUJ6hEJwWl1h647Ofx+qvbseNoG6AtRU3Vj5CbGmzPlge95p1YkNWBPbajKEiaqqwwKq6VvkRBKyrMPvFKKh1t4iWgFiOFgNKXaFAaKZYlPYhAlBCgoBUlhiY1iUCkEKCgFSmWJD2IQJQQoKAVJYYmNYlApBCgoBUpliQ9iECUEKCgFSWGJjWJQKQQoKAVKZYkPYhAlBCgoBUlhiY1iUCkEKCgFSmWJD2IQJQQGLAjPkr0JjWJABEIMwLSTwwH/P+0pAdhpg+JG2IElD+9CDHxSJwwIqD0JZoehpHxSFQiQAT4/+cv/REBIkAEwogABa0wMhaJSgSIAI20yAeIABEIMwI00gozg5G4RCDaCVDQinYPIP2JQJgRoKAVZgYjcYlAtBOgoBXtHkD6E4EwI0BBK8wMRuISgWgnQEEr2j2A9CcCYUZgjILWfdiN66BSrYPRfl+BwANXey3yNSpo8mvR7hp4vq6iwORd9pqh12iQbWwPcArwo4p1G2Z9Gp0S/KgYw7m8y47zVfnQCGdwapChr4PV+TCARr2wm8/idFU+EvVm9AbIEc23xihoBUPIB6w6FGWW4c+59Wg+nIsFsePcZDBR6D4RmEwCng9x9ogZ+PYv4GAMbscpfLt7P9I2HIbVryPnBwAv4Ke1NXh+x1F8PJkyh2jb4xhBZAFrUy2O78tBEgWsEHUDEmu8CXj+dxemrSvAiqR4oSk1txTFL70AXfNbONlyR9b8VCQVGPDWm/uwR8fJ7lNSIjBOQUsRsPasAKdsyWWH2ahHhnRcfYYeRrNdOC5cEE6aqlWdRsOAIfVt2M8fEKac/C/ANfmH0eI3zOaH10boMzTgn6tU2dAbzbD79WgP4bSaUJWf4s2jyUfV21fRLZGRPoeSU8qn+PQ4rTD55E5BftW/4Gr3g/5con4Z+td8MmjEqYB/2WDy9yoYVOG0wDMNevNtsR3+RGMzjPpskQM/JTHCbJcmHPwJxuXQqNbhiLkZtb58vLwNCl79olNq5ATU85dCO2eKX0H17AQsprjkx2Q4F8pQMpwyQ+QZTsBqg7FoDTZe/CIqHA/A2AM4Kr6Iixu1WFXV0h+44ETjjiMwzyuDXRhS1+JrLXqkaTLwals6ftbFwPpasQevY/XO3+KmsFzWi3bjC9BuvIjZFVa4hXIvY/bFYiSvOigOxT1wWQ9jQ9obuPXMKfQxBmYvw7yr53HUKVPPNVw5ZWX4pKsF1RvW4xe3nkFznxuMXcZL8zrwO/4odL8/J5rr3sOMsstg7o/QvDkN8ULZLTgbsxlWNwP/vwpyO7Yjpm4ztrxuEdk8xE1TObT5bVhu7gFjbtjLZuHczv1o9tUv2kFbjIuzX4aDr8ttRcXsi9iYvAFV1ru+nMApbN7diLjCU2J71ZjzuyJZe7KslBxbAo//A55M9o6+xrbiCK6Nyf4A3mdH83eP2QxrGbCaVZ46xPI4MIBj2rJG5nAr63OznqYyxnFFrL7rgeyheB9rmcF2j7GeJlbKgXGlTazHl+sWaypNZdAZmM1Xr9g2V8aaetxiuUWsoL6T+bLw5YX6OKYzXGdu5q3Hv25lnmHK6ZNNSkjlRHmk22KbPtkD6hesrKijpLdQVqmjxC+VlTbdYkzSsaCedfmBkDNUlpGEleeR7o3sc/S+NLJ2wjc3z34X01VeYX2BlHBfZwYdp/D/QBkj/57Sl8Z4pHUGO9a+ij9vOocrp3Jg21eCnWc+VLyJuwNLQyOcKUuwiJMPl9WInZuIFNyArcs1ym7Cg17LBdQ5F2Lpos/7/393YjVITgFabQ64et9HQ50DKckaxMpbEvI8Lt4ZrZxSuUTM9VvDi8Xc5Hny1gKk1YjP3AuHYw/Su/8Ak8kEk+k0jPpnkFx4SswfTEeJn5hN0nHpVxRTc1GO1g50+U2X5eIMJ488P6VHTMBlwa9rZ2Lv99P8fXDEFUVfgTEOWhy0ZbU4vudbSM8pw7EyDYxbX0FNu7SGAsBzG53XHIOQduBa520x0HEDA8sgJYGH6O7sgHyGp8zuvNYJh6MT1wbLxBcakZyyVoYsJ8sbKMlPSfO/irjkDfjFlf8H/n/EMT17PyyGtcCggca/Mk/3EDo6O9DZHeh1u389dDUeBO7CeuRtzCjbhFS/jm082oq8Osc4aC1D7qZveHt29Rxklu9GZfLbKPyBof+1rnomEhZrBiGpweKEmf6jpEFy+z+agtkJiRhsbZNbnACNZhgLoKOVc8hy/hL7X92H/eQrKDy/HPVdnfh9xfeQk5ODnMw56LHd8M86xNWQi7xcIhJmy0e6Q1RIj8eIwEPcPPsbtK18AQULaC1rNFDHOGgpRIhNw/erdkDbXIJVxWfEhfIZSMvWgWu9ija/N34euLo60Ip5SJ7rN2lTVDrYpRrxaU8hl7uOy20f+U9LXQ7YWuEducU/gexcjXeqKK9OyCPtjBmtnFI55fTLha4hA4+YRzl19vwVd29Lbx4lHZXTaImfqJCk4+UP4PTbzyu1oZy+ykFQenwIPITTbMTJuFXI9QWsXrTX1qG5189I49N8hNQ6vkELasSmFuJXhgLA+GO8LKxvqRGfvgF7VlzE1vIj4lYF75uubRtrkFy5HeuSpo4eb3wantuTjre3voyDLU5v4OKnXNuKsT95B/auS4IaM6F9vhwr64qxzdjmfSPnaofp1Qrs900bRyunGvHaLTi08hw2bqsTfwHQC7upGrv3W4fQSwx4jSdQ03zTK7vHiZaDL2OrUfbmMX4Znj/0D6jbXQ2TsH2B39pwBq/urpFNjWcg/bltWPH2j1F+8LIYuPg3q3ps3D8blXtzkDTO1h9C2Sh7zPvAT7Ah6wcoyZqLGGmrj2oaFh7/BBqaJg7bHybAbeOxYNPLOMTHrTVFqOZftccuQsHhehxb/mfoNZ+BShWDuB98gOXHmnFue/ojLkzGY0HBATQfW45ufarXOeL+K2zLD8J2rti3hqCesxoHm6uQcvE7iOMdKK4YV/6+AJU6aSEeo5dT/SXkHKxHbYoZmXExUKkWYMuVhdhWuXoIw/ABbxvO1SzGu5Jjz30Rf/hCPs7Ul8qmvVMwJ2cvmstn4ax2msAv6dUPkbnteeh8LagRuyAXh5sPYnn3K9DE8Pu9FuAHtqU4ZjuO7anTfTkpMd4ExC0qa/bJtqRIbXLQrf86En3fRHHvXMxCFDY64dyfhWkBfx4nlY++zwHnHtIRYuHrBB67ESu1HdC370FmvO9bMCkKKY99mhQhqNGIIKD0pcn17IhAOglKCLvpU5AvTW35l53Oyzj46i/xsGQ10ic5YE0CEWoyighQ0ApHY8cvw4/O/bR/aqtSISb113A/8waOlzzq9DocgZDM0USApofRZO0J1FU5pJ/ApqmpCCOg9CUaaUWYgUkdIhDpz/MxGQAAB51JREFUBChoRbqFST8iEGEEKGhFmEFJHSIQ6QQoaEW6hUk/IhBhBChoRZhBSR0iEOkEKGhFuoVJPyIQYQQGbHmIMP1IHSJABCKEgPRrnceU+kgPlPfpmgiMhIByb81IylJeIiAnoPQlmh7K6VCaCBCBkCdAQSvkTUQCEgEiICdAQUtOg9JEgAiEPAEKWiFvIhKQCBABOQEKWnIalCYCRCDkCVDQCnkTkYBEgAjICVDQktOgNBEgAiFPgIJWyJuIBCQCREBOgIKWnAaliQARCHkCFLRC3kQkIBEgAnICIRC0bsOsTwO/VX/Qf5pynG/5NbJVadCbb8t1mMD0fdiN66DKNsI+UWdruuw4X/Uqau33vXp62mHMTkS2sd3/MNoJpEBNTRABjxPWs8dRlZ8C1aT6/QTpO8xmQiBozURmhQX8bx69/26hqTQV4MrQ1OPuv+/YixXpm9HALKjInDlM9cI9mwe9LTXI3/Ee3OGuCsk/IgL86UoHntNhlcmBhPx69EWV3w+OasAPpgfPTk+JABEYdwKuFlRvKEbrt1+HtXgpuBAYWoy7ziNoIKxw8IeR+k8P+ePgG8ThswoqTT6qTh+BPkMDjd6MXgkEP8yu1SNDmoJm6GE02+GSngvnCGqQoX/NV5dfeSmf7/P/ou38AeRrvFNaTf4BnBeOp/dl4A8iHLxNIetDOK11grzeqXE29EYz7C5+7smfNLwTC7L2wYlTKEz+rL9OsqaG15a8AKVDl8BdWF9/BdXzyrGXAlZAM4VV0FJq4Ll5BsXa7Whd/s/o46eX9h2Yce417G929mf1fAjT93RYZf4iKhwPwJgbfb/6Ci5uXINi04eydSEnmuvew4yyy2Duj9C8OQ3x/bX4pxrLsPX4FBRZ+fp60PzMLexN3oAq611vvmG1yR+VXoLUVRcwu8IKNy9/38+RfLEY2uIzuOlRIz5zD9qbysBhLQy2e3BUZA6UaVht+YtPV6FLwGM3oXzHJ8hd+lf883P8WpYKATvF0FVh/CVjsj+AX0Ka7L9brKk0lYErY009bj9h3DYD0yGVlTbdYox583EF9axLnq2niZVyYFxpE+thbtbTVMY4rGUG2z1ZXeJ9qQ2/MrJsA5L3mM2wloErYvVdD2RPRVlG3CbHdIbrTC4+E2SRdAwgv/s6M+jmi+UCPBekUugnk3SikqHhSxOl7Vi1I/qXtpTVWBxev+hrZYa8RQzaambp8/OUsWo05OtR+lL4jrR630dDnQMpS7/iP+eP1SA5hROj/R1YGhrh5BKRMHuKrAdQI3ZuIlKcjWiw3JHdH2YyZQkWcfL6YjE3eR6cdRdg6b09jDZvo9dyAXVODRYnzISfEQT5HahreL9/ehtUrHHSL2h79GB8CbjQZbsBLj0b/5TKef0idhE2vfQCdM2VKD9pl80MxleSUK7d7/sSyoI+kmzOfciaFuO3pSImuRCNj1TpEIWH1aYV+7Nm+cmlilmIwkbZ9HaIZoTHw2prOBVRnkkl4LmNzmuOASKoE7+O9Tqg1eboX4cdkCt6bkTH20OdAba3C5AULET7VuzH0PCDtskvsvNt8WtVR1GQNDVIw55hjLYADNpWkKrpdugRUM9EwmINnNc60e0B4v389XGkJGsQG3pST7hEflgmvPVHaTD+CWTnagb2Pi4HbK3SSGUG0rJ14Fqvos35UNaaBy7rAWSo1sEobdqUPR0y2dqBLuENn5RTHNbnPoW0+JnDaPMh4tOeQi53HZfbPvIf8rtaUJUx3M2j46SfpBZ9TjCBIPYUfHoJ1i9L8F9KmGDpQqW58A1amAnt8+VYWVeBV03t3mGzqx2mVyuwX4pZUCNeuwWHVl7E1vIjaBECF79N4gx2bz8MVG7HuqCjnEFM5KzB7lfPiFsTetFu1GNj3T/g0PPLED/cNuOX4flDy/H21pdxsMXpDVy8/Lt3YQeKsHddEtQQ194EUTz42PWxf4AbbluDqEKPQomA3F//Ge18x+hxosXwFq6VjNJXQ0m9MZIljIMWoJ6zGgebSzDr7FrE8XuwkvbhRub3UKmTFuIBqL+EnIP1OLb8z9BrPgOVKgZx2rOYte0Ejpekj264rXse2zI/xKtJ/DrZNGReXITa5r3ImSMuzg+rzSmYk7MXzceWo1ufihhe/ri1ODtrCyzHi5Aa6zWNOjEb+rIeFCZ/Dp9b8xt0KH8+NKy2xshbqJrxJyDaszbFjMy4GKhiNqF+xhbUjNZXx1/iCW9hwLmHYX+EGP/bvJWFsOnPRtHPfSbcb4ZskN9fFPa+NKSWlGEiCCh9KYxHWt4fWmvya73DaJ4eP5Q+uA87Hz6LdekzJoIntUEEiMAEEwjjoDUT2h+9gUPSMJqfXsXocNj9DM7JplcTzJOaIwJEYJwJRN70cJyBUfXDI6Ac0g+vFOUiAgMJKH0pjEdaA5WjO0SACEQ+AQpakW9j0pAIRBQBCloRZU5ShghEPgEKWpFvY9KQCEQUAQpaEWVOUoYIRD4BClqRb2PSkAhEFAEKWhFlTlKGCEQ+gQH7tCJfZdKQCBCBcCQg/SzM7/+nJd0MR4VIZiJABKKDAE0Po8POpCURiBgCFLQixpSkCBGIDgL/H7hm7PoGOHoYAAAAAElFTkSuQmCC"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State whether <strong>speed</strong> is a continuous or discrete variable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the median speed for these animals.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the range of the animal speeds.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For these eight animals find the mean speed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For these eight animals write down the standard deviation.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A health inspector analysed the amount of sugar in 500 different <strong>snacks</strong> prepared in various school cafeterias. The collected data are shown in the following box-and-whisker diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"><br>Amount of sugar per snack in grams</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what 13 represents in the given diagram.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the interquartile range for this data.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the approximate number of snacks whose amount of sugar ranges from 18 to 20 grams.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The health inspector visits two school cafeterias. She inspects the same number of <strong>meals</strong> at each cafeteria. The data is shown in the following box-and-whisker diagrams.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Meals prepared in the school cafeterias are required to have less than 10 grams of sugar.</p>
<p>State, giving a reason, which school cafeteria has more meals that <strong>do not</strong> meet the requirement.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A biased four-sided die with faces labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>,</mo><mo> </mo><mn>2</mn><mo>,</mo><mo> </mo><mn>3</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math> is rolled and the result recorded. Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> be the result obtained when the die is rolled. The probability distribution for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> is given in the following table where <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math> are constants.</p>
<p><img src="data:image/png;base64,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"></p>
<p>For this probability distribution, it is known that <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>E</mtext><mo>(</mo><mi>X</mi><mo>)</mo><mo>=</mo><mn>2</mn></math>.</p>
</div>
<div class="specification">
<p>Nicky plays a game with this four-sided die. In this game she is allowed a maximum of five rolls. Her score is calculated by adding the results of each roll. Nicky wins the game if her score is at least ten.</p>
<p>After three rolls of the die, Nicky has a score of four.</p>
</div>
<div class="specification">
<p>David has two pairs of unbiased four-sided dice, a yellow pair and a red pair.</p>
<p>Both yellow dice have faces labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>,</mo><mo> </mo><mn>2</mn><mo>,</mo><mo> </mo><mn>3</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math>. Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi></math> represent the sum obtained by rolling the two yellow dice. The probability distribution for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi></math> is shown below.</p>
<p><img src="data:image/png;base64,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"></p>
<p>The first red die has faces labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>,</mo><mo> </mo><mn>2</mn><mo>,</mo><mo> </mo><mn>2</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math>. The second red die has faces labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>,</mo><mo> </mo><mi>a</mi><mo>,</mo><mo> </mo><mi>a</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>, where <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo><</mo><mi>b</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mo> </mo><mi>b</mi><mo>∈</mo><msup><mi mathvariant="normal">ℤ</mi><mo>+</mo></msup></math>. The probability distribution for the sum obtained by rolling the red pair is the same as the distribution for the sum obtained by rolling the yellow pair.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn></math>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>P</mtext><mo>(</mo><mi>X</mi><mo>></mo><mn>2</mn><mo>)</mo></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Assuming that rolls of the die are independent, find the probability that Nicky wins the game.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math>, providing evidence for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>A data set has <em>n</em> items. The sum of the items is 800 and the mean is 20.</p>
</div>
<div class="specification">
<p>The standard deviation of this data set is 3. Each value in the set is multiplied by 10.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <em>n</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of the new mean.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of the new variance.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The following scatter diagram shows the scores obtained by seven students in their mathematics test, <em>m</em>, and their physics test, <em>p</em>.</p>
<p style="text-align: left;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">The mean point, M, for these data is (40, 16).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Plot and label the point M<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\bar m,\,\,\bar p} \right)">
<mrow>
<mo>(</mo>
<mrow>
<mrow>
<mover>
<mi>m</mi>
<mo stretchy="false">¯</mo>
</mover>
</mrow>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mrow>
<mover>
<mi>p</mi>
<mo stretchy="false">¯</mo>
</mover>
</mrow>
</mrow>
<mo>)</mo>
</mrow>
</math></span> on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the line of best fit, by eye, on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using your line of best fit, estimate the physics test score for a student with a score of 20 in their mathematics test.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The lengths of trout in a fisherman’s catch were recorded over one month, and are represented in the following histogram.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_10.45.21.png" alt="M17/5/MATSD/SP1/ENG/TZ1/01"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the following table.</p>
<p><img src="images/Schermafbeelding_2017-08-15_om_12.36.53.png" alt="M17/5/MATSD/SP1/ENG/TZ1/01"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State whether <strong>length of trout </strong>is a continuous or discrete variable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the modal class.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Any trout with length 40 cm or less is returned to the lake.</p>
<p>Calculate the percentage of the fisherman’s catch that is returned to the lake.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Rosewood College has 120 students. The students can join the sports club (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="S">
<mi>S</mi>
</math></span>) and the music club (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="M">
<mi>M</mi>
</math></span>).</p>
<p>For a student chosen at random from these 120, the probability that they joined both clubs is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{4}">
<mfrac>
<mn>1</mn>
<mn>4</mn>
</mfrac>
</math></span> and the probability that they joined the music club is<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{3}">
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</math></span>.</p>
<p>There are 20 students that did not join either club.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the Venn diagram for these students.</p>
<p><img src="images/Schermafbeelding_2018-02-13_om_08.15.35.png" alt="N17/5/MATSD/SP1/ENG/TZ0/07.a"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One of the students who joined the sports club is chosen at random. Find the probability that this student joined both clubs.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine whether the events <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="S">
<mi>S</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="M">
<mi>M</mi>
</math></span> are independent.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A random variable <em>Z</em> is normally distributed with mean 0 and standard deviation 1. It is known that P(<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
<mi>z</mi>
</math></span> < −1.6) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span> and P(<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
<mi>z</mi>
</math></span> > 2.4) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
<mi>b</mi>
</math></span>. This is shown in the following diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>A second random variable <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
<mi>X</mi>
</math></span> is normally distributed with mean <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m">
<mi>m</mi>
</math></span> and standard deviation <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="s">
<mi>s</mi>
</math></span>.</p>
<p>It is known that P(<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> < 1) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find P(−1.6 < <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
<mi>z</mi>
</math></span> < 2.4). Write your answer in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
<mi>b</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Given that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z">
<mi>z</mi>
</math></span> > −1.6, find the probability that z < 2.4 . Write your answer in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
<mi>b</mi>
</math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the standardized value for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x = 1">
<mi>x</mi>
<mo>=</mo>
<mn>1</mn>
</math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>It is also known that P(<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> > 2) = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
<mi>b</mi>
</math></span>.</p>
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="s">
<mi>s</mi>
</math></span>.</p>
<div class="marks">[6]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Srinivasa places the nine labelled balls shown below into a box.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p>Srinivasa then chooses two balls at random, one at a time, from the box. The first ball is <strong>not replaced</strong> before he chooses the second.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the first ball chosen is labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the first ball chosen is labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math> or labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>N</mtext></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the second ball chosen is labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A</mtext></math>, given that the first ball chosen was labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>N</mtext></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that both balls chosen are labelled <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>N</mtext></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Jim heated a liquid until it boiled. He measured the temperature of the liquid as it cooled. The following table shows its temperature, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d">
<mi>d</mi>
</math></span> degrees Celsius, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t">
<mi>t</mi>
</math></span> minutes after it boiled.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-11_om_08.45.05.png" alt="M17/5/MATME/SP1/ENG/TZ1/04"></p>
</div>
<div class="specification">
<p>Jim believes that the relationship between <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d">
<mi>d</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t">
<mi>t</mi>
</math></span> can be modelled by a linear regression equation.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the independent variable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the boiling temperature of the liquid.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Jim describes the correlation as <strong>very strong</strong>. Circle the value below which best represents the correlation coefficient.</p>
<p><span class="mjpage mjpage__block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="0.992\quad \quad \quad 0.251\quad \quad \quad 0\quad \quad \quad - 0.251\quad \quad \quad - 0.992">
<mn>0.992</mn>
<mspace width="1em"></mspace>
<mspace width="1em"></mspace>
<mspace width="1em"></mspace>
<mn>0.251</mn>
<mspace width="1em"></mspace>
<mspace width="1em"></mspace>
<mspace width="1em"></mspace>
<mn>0</mn>
<mspace width="1em"></mspace>
<mspace width="1em"></mspace>
<mspace width="1em"></mspace>
<mo>−</mo>
<mn>0.251</mn>
<mspace width="1em"></mspace>
<mspace width="1em"></mspace>
<mspace width="1em"></mspace>
<mo>−</mo>
<mn>0.992</mn>
</math></span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Jim’s model is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d = - 2.24t + 105">
<mi>d</mi>
<mo>=</mo>
<mo>−</mo>
<mn>2.24</mn>
<mi>t</mi>
<mo>+</mo>
<mn>105</mn>
</math></span>, for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0 \leqslant t \leqslant 20">
<mn>0</mn>
<mo>⩽</mo>
<mi>t</mi>
<mo>⩽</mo>
<mn>20</mn>
</math></span>. Use his model to predict the decrease in temperature for any 2 minute interval.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Pablo drives to work. The probability that he leaves home before 07:00 is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{4}">
<mfrac>
<mn>3</mn>
<mn>4</mn>
</mfrac>
</math></span>.</p>
<p>If he leaves home before 07:00 the probability he will be late for work is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{8}">
<mfrac>
<mn>1</mn>
<mn>8</mn>
</mfrac>
</math></span>.</p>
<p>If he leaves home at 07:00 or later the probability he will be late for work is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{8}">
<mfrac>
<mn>5</mn>
<mn>8</mn>
</mfrac>
</math></span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><strong>Copy</strong> and complete the following tree diagram.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that Pablo leaves home before 07:00 and is late for work.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that Pablo is late for work.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Given that Pablo is late for work, find the probability that he left home before 07:00.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two days next week Pablo will drive to work. Find the probability that he will be late at least once.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>The histogram shows the lengths of 25 metal rods, each measured correct to the nearest cm.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>The upper quartile is 4 cm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the modal length of the rods.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the median length of the rods.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the lower quartile.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the interquartile range.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>University students were surveyed and asked how many hours, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="h">
<mi>h</mi>
</math></span> , they worked each month. The results are shown in the following table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>Use the table to find the following values.</p>
</div>
<div class="specification">
<p>The first five class intervals, indicated in the table, have been used to draw part of a cumulative frequency curve as shown.</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
<mi>p</mi>
</math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q">
<mi>q</mi>
</math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the same grid, complete the cumulative frequency curve for these data.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use the cumulative frequency curve to find an estimate for the number of students who worked at most 35 hours per month.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>In an international competition, participants can answer questions in <strong>only one</strong> of the three following languages: Portuguese, Mandarin or Hindi. 80 participants took part in the competition. The number of participants answering in Portuguese, Mandarin or Hindi is shown in the table.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>A boy is chosen at random.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the number of boys who answered questions in Portuguese.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the boy answered questions in Hindi.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two girls are selected at random.</p>
<p>Calculate the probability that one girl answered questions in Mandarin and the other answered questions in Hindi.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Hafizah harvested <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>49</mn></math> mangoes from her farm. The weights of the mangoes, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w</mi></math>, in grams, are shown in the following grouped frequency table.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the modal group for these data.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use your graphic display calculator to find an estimate of the standard deviation of the weights of mangoes from this harvest.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the grid below, draw a histogram for the data in the table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>On a work day, the probability that Mr Van Winkel wakes up early is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{4}{5}">
<mfrac>
<mn>4</mn>
<mn>5</mn>
</mfrac>
</math></span>.</p>
<p>If he wakes up early, the probability that he is on time for work is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
<mi>p</mi>
</math></span>.</p>
<p>If he wakes up late, the probability that he is on time for work is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{4}">
<mfrac>
<mn>1</mn>
<mn>4</mn>
</mfrac>
</math></span>.</p>
</div>
<div class="specification">
<p>The probability that Mr Van Winkel arrives on time for work is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{5}">
<mfrac>
<mn>3</mn>
<mn>5</mn>
</mfrac>
</math></span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the tree diagram below.</p>
<p><img src="images/Schermafbeelding_2017-03-07_om_06.20.32.png" alt="N16/5/MATSD/SP1/ENG/TZ0/12.a"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
<mi>p</mi>
</math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A survey at a swimming pool is given to one adult in each family. The age of the adult, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math> years old, and of their eldest child, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math> years old, are recorded.</p>
<p>The ages of the eldest child are summarized in the following box and whisker diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>The regression line of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math> on <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mfrac><mn>7</mn><mn>4</mn></mfrac><mi>c</mi><mo>+</mo><mn>20</mn></math>. The regression line of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math> on <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mi>a</mi><mo>-</mo><mn>9</mn></math>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the largest value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math> that would not be considered an outlier.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One of the adults surveyed is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>42</mn></math> years old. Estimate the age of their eldest child.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the mean age of all the adults surveyed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The mass of a certain type of Chilean corncob follows a normal distribution with a mean of 400 grams and a standard deviation of 50 grams.</p>
</div>
<div class="specification">
<p>A farmer labels one of these corncobs as premium if its mass is greater than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span> grams. 25% of these corncobs are labelled as premium.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability that the mass of one of these corncobs is greater than 400 grams.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the interquartile range of the distribution.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The Home Shine factory produces light bulbs, 7% of which are found to be defective.</p>
</div>
<div class="specification">
<p>Francesco buys two light bulbs produced by Home Shine.</p>
</div>
<div class="specification">
<p>The Bright Light factory also produces light bulbs. The probability that a light bulb produced by Bright Light is not defective is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span>.</p>
<p>Deborah buys three light bulbs produced by Bright Light.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability that a light bulb produced by Home Shine is not defective.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that both light bulbs are not defective.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that at least one of Francesco’s light bulbs is defective.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span>, for the probability that at least one of Deborah’s three light bulbs is defective.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A large school has students from Year 6 to Year 12.</p>
<p>A group of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>80</mn></math> students in Year 12 were randomly selected and surveyed to find out how many hours per week they each spend doing homework. Their results are represented by the following cumulative frequency graph.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>This same information is represented by the following table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>There are <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>320</mn></math> students in Year 12 at this school.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the median number of hours per week these Year 12 students spend doing homework.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Given that <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo>%</mo></math> of these Year 12 students spend more than <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math> hours per week doing homework, find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math> and the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the number of Year 12 students that spend more than <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15</mn></math> hours each week doing homework.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why this sampling method might not provide an accurate representation of the amount of time <strong>all</strong> of the students in the school spend doing homework.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest a more appropriate sampling method.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A bag contains <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
<mi>n</mi>
</math></span> marbles, two of which are blue. Hayley plays a game in which she randomly draws marbles out of the bag, one after another, without replacement. The game ends when Hayley draws a blue marble.</p>
</div>
<div class="specification">
<p> Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
<mi>n</mi>
</math></span> = 5. Find the probability that the game will end on her</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
<mi>n</mi>
</math></span>, that the game will end on her first draw.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
<mi>n</mi>
</math></span>, that the game will end on her second draw.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>third draw.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>fourth draw.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hayley plays the game when <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
<mi>n</mi>
</math></span> = 5. She pays $20 to play and can earn money back depending on the number of draws it takes to obtain a blue marble. She earns no money back if she obtains a blue marble on her first draw. Let <em>M</em> be the amount of money that she earns back playing the game. This information is shown in the following table.</p>
<p><img style="display: block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span> so that this is a fair game.</p>
<div class="marks">[7]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Malthouse school opens at 08:00 every morning.</p>
<p>The daily arrival times of the 500 students at Malthouse school follow a normal distribution. The mean arrival time is 52 minutes after the school opens and the standard deviation is 5 minutes.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a student, chosen at random arrives at least 60 minutes after the school opens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a student, chosen at random arrives between 45 minutes and 55 minutes after the school opens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A second school, Mulberry Park, also opens at 08:00 every morning. The arrival times of the students at this school follows exactly the same distribution as Malthouse school.</p>
<p>Given that, on one morning, 15 students arrive at least 60 minutes after the school opens, estimate the number of students at Mulberry Park school.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Colorado beetles are a pest, which can cause major damage to potato crops. For a certain Colorado beetle the amount of oxygen, in millilitres (ml), consumed each day increases with temperature as shown in the following table.</p>
<p style="text-align: center;"><img 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"></p>
<p>This information has been used to plot a scatter diagram.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>The mean point has coordinates (20, 230).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the equation of the regression line of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span> on <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the regression line of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span> on <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In order to estimate the amount of oxygen consumed, this regression line is considered to be reliable for a temperature <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> such that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span> ≤ <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> ≤ <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
<mi>b</mi>
</math></span>.</p>
<p>Write down the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span> and of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b">
<mi>b</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Dune Canyon High School organizes its <strong>school year </strong>into three trimesters: fall/autumn (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="F">
<mi>F</mi>
</math></span>), winter (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="W">
<mi>W</mi>
</math></span>) and spring (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="S">
<mi>S</mi>
</math></span>). The school offers a variety of sporting activities during and outside the school year.</p>
<p>The activities offered by the school are summarized in the following Venn diagram.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_10.56.10.png" alt="M17/5/MATSD/SP1/ENG/TZ1/04"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the number of sporting activities offered by the school during its <strong>school year</strong>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine whether rock-climbing is offered by the school in the fall/autumn trimester.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the elements of the set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="F \cap W’"> <mi>F</mi> <mo>∩</mo> <msup> <mi>W</mi> <mo>′</mo> </msup> </math></span>;</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n(W \cap S)"> <mi>n</mi> <mo stretchy="false">(</mo> <mi>W</mi> <mo>∩</mo> <mi>S</mi> <mo stretchy="false">)</mo> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="F"> <mi>F</mi> </math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="W"> <mi>W</mi> </math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="S"> <mi>S</mi> </math></span>, an expression for the set which contains only archery, baseball, kayaking and surfing.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>The following table shows the probability distribution of a discrete random variable <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
<mi>X</mi>
</math></span>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{E}}\left( X \right)">
<mrow>
<mtext>E</mtext>
</mrow>
<mrow>
<mo>(</mo>
<mi>X</mi>
<mo>)</mo>
</mrow>
</math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Consider the following graphs of normal distributions.</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>At an airport, the weights of suitcases (in kg) were measured. The weights are normally distributed with a mean of 20 kg and standard deviation of 3.5 kg.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In the following table, write down the letter of the corresponding graph next to the given mean and standard deviation.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a suitcase weighs less than 15 kg.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Any suitcase that weighs more than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span> kg is identified as excess baggage.<br>19.6 % of the suitcases at this airport are identified as excess baggage.</p>
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The following box-and-whisker plot shows the number of text messages sent by students in a school on a particular day.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One student sent<em> k</em> text messages, where <em>k</em> > 11 . Given that <em>k</em> is an outlier, find the least value of <em>k</em>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The following Venn diagram shows the events <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
<mi>A</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
<mi>B</mi>
</math></span>, where <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( A \right) = 0.3">
<mrow>
<mtext>P</mtext>
</mrow>
<mrow>
<mo>(</mo>
<mi>A</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mn>0.3</mn>
</math></span>. The values shown are probabilities.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q"> <mi>q</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {A' \cup B} \right)"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <msup> <mi>A</mi> <mo>′</mo> </msup> <mo>∪</mo> <mi>B</mi> </mrow> <mo>)</mo> </mrow> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A survey was carried out to investigate the relationship between a person’s age in years ( <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span>) and the number of hours they watch television per week (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="h">
<mi>h</mi>
</math></span>). The scatter diagram represents the results of the survey.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-02-12_om_18.00.45.png" alt="N17/5/MATSD/SP1/ENG/TZ0/05"></p>
<p>The mean age of the people surveyed was 50.</p>
<p>For these results, the equation of the regression line <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="h">
<mi>h</mi>
</math></span> on <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span> is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="h = 0.22a + 15">
<mi>h</mi>
<mo>=</mo>
<mn>0.22</mn>
<mi>a</mi>
<mo>+</mo>
<mn>15</mn>
</math></span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the mean number of hours that the people surveyed watch television per week.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the regression line on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>By placing a tick (✔) in the correct box, determine which of the following statements is true:</p>
<p><img src="images/Schermafbeelding_2018-02-13_om_07.09.18.png" alt="N17/5/MATSD/SP1/ENG/TZ0/05.c"></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Diogo is 18 years old. Give a reason why the regression line should not be used to estimate the number of hours Diogo watches television per week.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>The price per kilogram of tomatoes, in euro, sold in various markets in a city is found to be normally distributed with a mean of 3.22 and a standard deviation of 0.84.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the price that is two standard deviations above the mean price.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the price of a kilogram of tomatoes, chosen at random, will be between 2.00 and 3.00 euro.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>To stimulate reasonable pricing, the city offers a free permit to the sellers whose price of a kilogram of tomatoes is in the lowest 20 %.</p>
<p>Find the highest price that a seller can charge and still receive a free permit.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A research student weighed lizard eggs in grams and recorded the results. The following box and whisker diagram shows a summary of the results where <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>U</mi></math> are the lower and upper quartiles respectively.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">The interquartile range is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math> grams and there are no outliers in the results.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the minimum possible value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>U</mi></math>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, find the minimum possible value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Consider the following Venn diagrams.</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression, in set notation, for the <strong>shaded</strong> region represented by Diagram 1.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression, in set notation, for the <strong>shaded</strong> region represented by Diagram 2.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression, in set notation, for the shaded region represented by Diagram 3.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Shade, on the Venn diagram, the region represented by the set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {H \cup I} \right)'"> <msup> <mrow> <mo>(</mo> <mrow> <mi>H</mi> <mo>∪</mo> <mi>I</mi> </mrow> <mo>)</mo> </mrow> <mo>′</mo> </msup> </math></span>.</p>
<p><img 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"></p>
<p> </p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Shade, on the Venn diagram, the region represented by the set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="J \cap K"> <mi>J</mi> <mo>∩</mo> <mi>K</mi> </math></span>.</p>
<p><img 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"></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A bag contains 5 red and 3 blue discs, all identical except for the colour. First, Priyanka takes a disc at random from the bag and then Jorgé takes a disc at random from the bag.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the tree diagram.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that Jorgé chooses a red disc.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question">
<p>The following table shows the probability distribution of a discrete random variable <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math> where <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo> </mo><mn>2</mn><mo>,</mo><mo> </mo><mn>3</mn><mo>,</mo><mo> </mo><mn>4</mn></math>.</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
<p style="text-align:left;">Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math>, justifying your answer.</p>
</div>
<br><hr><br><div class="specification">
<p>Events <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
<mi>A</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
<mi>B</mi>
</math></span> are independent with <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A \cap B) = 0.2">
<mrow>
<mtext>P</mtext>
</mrow>
<mo stretchy="false">(</mo>
<mi>A</mi>
<mo>∩<!-- ∩ --></mo>
<mi>B</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mn>0.2</mn>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A' \cap B) = 0.6">
<mrow>
<mtext>P</mtext>
</mrow>
<mo stretchy="false">(</mo>
<msup>
<mi>A</mi>
<mo>′</mo>
</msup>
<mo>∩<!-- ∩ --></mo>
<mi>B</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mn>0.6</mn>
</math></span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(B)"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>B</mi> <mo stretchy="false">)</mo> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(A \cup B)"> <mrow> <mtext>P</mtext> </mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo>∪</mo> <mi>B</mi> <mo stretchy="false">)</mo> </math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A scientist measures the concentration of dissolved oxygen, in milligrams per litre (<em>y</em>) , in a river. She takes 10 readings at different temperatures, measured in degrees Celsius (<em>x</em>).</p>
<p>The results are shown in the table.</p>
<p><img src="data:image/png;base64,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"></p>
<p>It is believed that the concentration of dissolved oxygen in the river varies linearly with the temperature.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For these data, find Pearson’s product-moment correlation coefficient, <em>r.</em></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For these data, find the equation of the regression line <em>y</em> on <em>x</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the equation of the regression line, estimate the concentration of dissolved oxygen in the river when the temperature is 18 °C.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The random variable <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
<mi>X</mi>
</math></span> is normally distributed with a mean of 100. The following diagram shows the normal curve for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
<mi>X</mi>
</math></span>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-11_om_16.32.27.png" alt="M17/5/MATME/SP1/ENG/TZ2/03"></p>
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="R">
<mi>R</mi>
</math></span> be the shaded region under the curve, to the right of 107. The area of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="R">
<mi>R</mi>
</math></span> is 0.24.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(X > 107)">
<mrow>
<mtext>P</mtext>
</mrow>
<mo stretchy="false">(</mo>
<mi>X</mi>
<mo>></mo>
<mn>107</mn>
<mo stretchy="false">)</mo>
</math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(100 < X < 107)">
<mrow>
<mtext>P</mtext>
</mrow>
<mo stretchy="false">(</mo>
<mn>100</mn>
<mo><</mo>
<mi>X</mi>
<mo><</mo>
<mn>107</mn>
<mo stretchy="false">)</mo>
</math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}(93 < X < 107)">
<mrow>
<mtext>P</mtext>
</mrow>
<mo stretchy="false">(</mo>
<mn>93</mn>
<mo><</mo>
<mi>X</mi>
<mo><</mo>
<mn>107</mn>
<mo stretchy="false">)</mo>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>In a class of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="30">
<mn>30</mn>
</math></span> students, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="18">
<mn>18</mn>
</math></span> are fluent in Spanish, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="10">
<mn>10</mn>
</math></span> are fluent in French, and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="5">
<mn>5</mn>
</math></span> are not fluent in either of these languages. The following Venn diagram shows the events “fluent in Spanish” and “fluent in French”.</p>
<p>The values <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m">
<mi>m</mi>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
<mi>n</mi>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
<mi>p</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q">
<mi>q</mi>
</math></span> represent numbers of students.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q"> <mi>q</mi> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n"> <mi>n</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m"> <mi>m</mi> </math></span> and of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A group of 20 students travelled to a gymnastics tournament together. Their ages, in years, are given in the following table.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-02-12_om_17.17.22.png" alt="N17/5/MATSD/SP1/ENG/TZ0/01"></p>
</div>
<div class="specification">
<p>The lower quartile of the ages is 16 and the upper quartile is 18.5.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the students in this group find the mean age;</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the students in this group write down the median age.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a box-and-whisker diagram, for these students’ ages, on the following grid.</p>
<p><img src="images/Schermafbeelding_2018-02-12_om_18.53.31.png" alt="N17/5/MATSD/SP1/ENG/TZ0/01.b"></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>In a high school, 160 students completed a questionnaire which asked for the number of people they are following on a social media website. The results were recorded in the following box-and-whisker diagram.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>The following incomplete table shows the distribution of the responses from these 160 students.</p>
<p><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the median.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the table.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the mid-interval value for the 100 < <em>x</em> ≤ 150 group.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the table, calculate an estimate for the mean number of people being followed on the social media website by these 160 students.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The histogram shows the time, <em>t</em>, in minutes, that it takes the customers of a restaurant to eat their lunch on one particular day. Each customer took less than 25 minutes.</p>
<p>The histogram is incomplete, and only shows data for 0 ≤ <em>t</em> < 20.</p>
<p><img 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"></p>
</div>
<div class="specification">
<p>The mean time it took <strong>all</strong> customers to eat their lunch was estimated to be 12 minutes.</p>
<p>It was found that <em>k</em> customers took between 20 and 25 minutes to eat their lunch.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the mid-interval value for 10 ≤ <em>t</em> < 15.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the total number of customers in terms of<em> k</em>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the value of <em>k</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, complete the histogram.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A group of 10 girls recorded the number of hours they spent watching television during a particular week. Their results are summarized in the box-and-whisker plot below.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>The group of girls watched a total of 180 hours of television.</p>
</div>
<div class="specification">
<p>A group of 20 boys also recorded the number of hours they spent watching television that same week. Their results are summarized in the table below.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>The following week, the group of boys had exams. During this exam week, the boys spent half as much time watching television compared to the previous week.</p>
<p>For this exam week, find</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The range of the data is 16. Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a"> <mi>a</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the mean number of hours that the girls in this group spent watching television that week.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the total number of hours the group of boys spent watching television that week.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the mean number of hours that <strong>all 30</strong> girls and boys spent watching television that week.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>the mean number of hours that the group of boys spent watching television.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.i.</div>
</div>
<br><hr><br><div class="specification">
<p>In a group of 20 girls, 13 take history and 8 take economics. Three girls take both history and economics, as shown in the following Venn diagram. The values <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
<mi>p</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q">
<mi>q</mi>
</math></span> represent numbers of girls.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-11_om_08.39.12.png" alt="M17/5/MATME/SP1/ENG/TZ1/01"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p">
<mi>p</mi>
</math></span>;</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="q">
<mi>q</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A girl is selected at random. Find the probability that she takes economics but not history.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A set of data comprises of five numbers <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{x_{1\,}}{\text{,}}\,\,{x_2}{\text{,}}\,\,{x_3}{\text{,}}\,\,{x_4}{\text{,}}\,\,{x_5}">
<mrow>
<msub>
<mi>x</mi>
<mrow>
<mn>1</mn>
<mspace width="thinmathspace"></mspace>
</mrow>
</msub>
</mrow>
<mrow>
<mtext>,</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mrow>
<msub>
<mi>x</mi>
<mn>2</mn>
</msub>
</mrow>
<mrow>
<mtext>,</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mrow>
<msub>
<mi>x</mi>
<mn>3</mn>
</msub>
</mrow>
<mrow>
<mtext>,</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mrow>
<msub>
<mi>x</mi>
<mn>4</mn>
</msub>
</mrow>
<mrow>
<mtext>,</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mrow>
<msub>
<mi>x</mi>
<mn>5</mn>
</msub>
</mrow>
</math></span> which have been placed in ascending order.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Recalling definitions, such as the Lower Quartile is the <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{n + 1}}{4}th">
<mfrac>
<mrow>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
<mn>4</mn>
</mfrac>
<mi>t</mi>
<mi>h</mi>
</math></span> piece of data with the data placed in order, find an expression for the Interquartile Range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, show that a data set with only 5 numbers in it cannot have any outliers.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Give an example of a set of data with 7 numbers in it that does have an outlier, justify this fact by stating the Interquartile Range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>For a study, a researcher collected 200 leaves from oak trees. After measuring the lengths of the leaves, in cm, she produced the following cumulative frequency graph.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_17.29.13.png" alt="M17/5/MATSD/SP1/ENG/TZ2/06"></p>
</div>
<div class="specification">
<p>The researcher finds that 10% of the leaves have a length greater than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span> cm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the median length of these leaves.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the number of leaves with a length less than or equal to 8 cm.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use the graph to find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Before measuring, the researcher estimated <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span> to be approximately 9.5 cm. Find the percentage error in her estimate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>Applicants for a job had to complete a mathematics test. The time they took to complete the test is normally distributed with a mean of 53 minutes and a standard deviation of 16.3. One of the applicants is chosen at random.</p>
</div>
<div class="specification">
<p>For 11% of the applicants it took longer than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span> minutes to complete the test.</p>
</div>
<div class="specification">
<p>There were 400 applicants for the job.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that this applicant took at least 40 minutes to complete the test.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the number of applicants who completed the test in less than 25 minutes.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A large company surveyed 160 of its employees to find out how much time they spend traveling to work on a given day. The results of the survey are shown in the following cumulative frequency diagram.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>Only 10% of the employees spent more than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span> minutes traveling to work.</p>
</div>
<div class="specification">
<p>The results of the survey can also be displayed on the following box-and-whisker diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the median number of minutes spent traveling to work.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the number of employees whose travelling time is within 15 minutes of the median.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k"> <mi>k</mi> </math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b"> <mi>b</mi> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a"> <mi>a</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, find the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Travelling times of less than <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span> minutes are considered outliers.</p>
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p"> <mi>p</mi> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>All the children in a summer camp play at least one sport, from a choice of football (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="F">
<mi>F</mi>
</math></span>) or basketball (<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
<mi>B</mi>
</math></span>). 15 children play both sports.</p>
<p>The number of children who play only football is double the number of children who play only basketball.</p>
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> be the number of children who play only football.</p>
</div>
<div class="specification">
<p>There are 120 children in the summer camp.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x"> <mi>x</mi> </math></span>, for the number of children who play only basketball.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the Venn diagram using the above information.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxcAAAEOCAYAAAD7ZupGAAAgAElEQVR4Ae3dD5AV1b3g8d+41tvIUiwglMIygBBhzJuVPwJh15liHiETyEsKCkJS+MiECsimeOiuWw4acFesB6wy1jNPeZaFkELCaqUQCkojfx6ZB8WwxeKADG9WGJ78kWEH3REkPB4mWZfZ+rU2XoY70/fe7r59+pxvV1kzzO0+fc7n9G3Pr8+fLuno6OgQNgQQQAABBBBAAAEEEEAgpMBtIY/ncAQQQAABBBBAAAEEEEDAEyC44EJAAAEEEEAAAQQQQACBSARuz0ylpKQk85/8jgACCCCAAAIIIIAAAgjcItDVzIqbggvdSQOMrna+JVX+gAACCCCAAAIIIIAAAs4IBMUKDIty5lKgoAgggAACCCCAAAIIxCtAcBGvL6kjgAACCCCAAAIIIOCMAMGFM1VNQRFAAAEEEEAAAQQQiFeA4CJeX1JHAAEEEEAAAQQQQMAZAYILZ6qagiKAAAIIIIAAAgggEK8AwUW8vqSOAAIIIIAAAggggIAzAgQXzlQ1BUUAAQQQQAABBBBAIF4Bgot4fUkdAQQQQAABBBBAAAFnBAgunKlqCooAAggggAACCCCAQLwCBBfx+pI6AggggAACCCCAAALOCBBcOFPVFBQBBBBAAAEEEEAAgXgFCC7i9SV1BBBAAAEEEEAAAQScESC4cKaqKSgCCCCAAAIIIIAAAvEKEFzE60vqCCCAAAIIIIAAAgg4I0Bw4UxVU1AEEEAAAQQQQAABBOIVILiI15fUEUAAAQQQQAABBBBwRoDgwpmqpqAIIIAAAggggAACCMQrQHARry+pI4AAAggggAACCCDgjADBhTNVTUERQAABBBBAAAEEEIhXgOAiXl9SRwABBBBAAAEEEEDAGQGCC2eqmoIigAACCCCAAAIIIBCvAMFFvL6kjgACCCCAAAIIIICAMwIEF85UNQVFAAEEEEAAAQQQQCBeAYKLeH1JHQEEEEAAAQQQQAABZwQILpypagqKAAIIIIAAAggggEC8AgQX8fqSOgIIIIAAAggggAACzggQXDhT1RQUAQQQQAABBBBAAIF4BQgu4vUldQQQQAABBBBAAAEEnBEguHCmqikoAggggAACCCCAAALxChBcxOtL6ggggAACCCCAAAIIOCNwuzMlpaAIFFmgpKSkyGfkdAgggAACSQl0dHQkdWrOi4BRAgQXRlUHmTFB4PPDz0vZuFo5lZmZ4XXSeOJxecD7xlyVw89/X8bV7v1yjyqpa3xLHn+gZ+YR3u/8z+YWEv6AAAIIWCfAwyTrqpQChRAo6ejU+tEvSKc/hUieQxFIqcD1E/LLaZNl/j9Mk/X1L8hPy3p1Ksgf5X9v/c8y6TeTZd+rM+XfZBlgyHepExn/RAABBCwV4H5vacVSrKwCQdd7liZR1nT4IwJOCgz48V/ID24JLJTiuvzz5b6y9InvZg0snMSi0AgggAACCCDgvADBhfOXAADZBK5/8D/k17t7yLe/ea907rPw9r9+Vhq2igy9+0+yHc7fEEAAAQQQQAABJwUILpysdgrdvcDv5YOGnbJbxsqk8v7Zd73aJh/cXyXjevEVyg7EXxFAAAEEEEDARQFaRi7WOmUOELgq51tOiwyfIKOGfS3LvtflSuNeOfb1gXLrFO4su/MnBBBAAAEEEEDAEQGCC0cqmmLmIXDlmOz61WEZMGus3Jt1PbVL0rjr/8jMiqHCFygPV3ZFAAEEEEAAAesFaBtZX8UUMF+Bz//xiGy5MLzr+RZXT8uR/zWyi16NfM/G/ggggAACCCCAgD0CBBf21CUliUTgc2n/8AM5JaXyb4f0yZLidblyaJu88qejuujVyHIIf0IAAQQQQAABBBwRILhwpKIpZq4Ct8m/6t1XBsg/Sfvvfn/rQVcbZe1fHZef/XBs9lWkbj2CvyCAAAIIIIAAAs4IEFw4U9UUNDeB26TXhIdkRc0fZPVf1clrhy/Ide/AP8qFw1vl+b9cJL/585/Lzx7onVty7IUAAggggAACCDgkQHDhUGVT1BwFepbLT/92i/z2xyIbxg2Uf1FSIiUl/1IeePG0DP3J6/LW4xNYJSpHSnZDAAEEEEAAAbcESjo6Ojoyixz0Su/MffkdAQS6FuC71LUNnyCAAAI2CXC/t6k2KUuQQND1Ts9FkCCfI4AAAggggAACCCCAQE4CBBc5MbETAggggAACCCCAAAIIBAkQXAQJ8TkCCCCAAAIIIIAAAgjkJEBwkRMTOyGAAAIIIIAAAggggECQAMFFkBCfI4AAAggggAACCCCAQE4CBBc5MbETAggggAACCCCAAAIIBAkQXAQJ8TkCCCCAAAIIIIAAAgjkJEBwkRMTOyGAAAIIIIAAAggggECQwO1BO/A5AggggEA4gUuXLsknn3ySVyL9+vWTvn375nUMO+cncPLkyfwOEJERI0bkfQwHIIAAAi4JEFy4VNuUFQEEYhH47LPPpLW1VZqbm+Xq1avez08//VTWrVt343y1tbU3fs/ll7q6uhu7+cdOnDhRevbsKUOHDpXS0lK54447buzDL7cKnD9/3gvqTp8+LW1tbXLu3DnRgGL79u3eztOnT88rWMg8dvz48VJVVSW9e/eWsrIyGTZsmGhAOGjQoFszwl8QQAABhwRKOjo6OjLLG/RK78x9+R0BBLoW4LvUtU2aP8kMJA4ePCh79+6Vd999VzQAGDx4sAwcONBraPbo0SOSAMA/37Vr10QbySdOnJAzZ854gYs2jidMmOA1bsvLy/NqKKe5DrLlXXuHjh8/LqdOnfKCOw3O/ABAbe6++24vKNN6iSIA0MBF6+Ts2bNeQKnXgh98LFiwQEaNGiVjxoyRIUOGRHK+bGXmb+YIcL83py7ISfwCQdc7wUX8dcAZHBUI+vI5ypLKYmujUXslduzY4TXqtfFYWVkpw4cPT7TxqA3cDz/8UN577z3Zs2eP90Regxzt4dCgI4pGtKkVpkHXkSNHspZdg4mkenb8YFCvFz/4VMOamhov2LjvvvsY7mbqRRUiX9zvQ+BxaOoEgq53govUVSkZTotA0JcvLeVwNZ9Hjx6VhoYG2bhxo9cbMWXKFKmoqJCRI0caOxzJf3qvwUbnfI8ePTr1Vanla2xslM2bN98I8qZNmyam99poEPj+++97AaD2qGhwOnv2bBk3bhyBRuqvyi8KwP3ekoqkGDkJBF3vBBc5MbITAvkLBH358k+RI+IW0B6K3bt332iYz5w5UyZPnpzaHgBt1NbX18vWrVu9OQf69HzGjBmpKo/fQ7FhwwYvoFi5cqVMmjRJxo4da2yQ19116pdn3759smzZshuBhvaEMYemOzmzP+N+b3b9kLtoBYKud4KLaL1JDYEbAkFfvhs78kuiAtrY279/v7z88steA3zx4sWpDii6wtRAY9u2bTcCp0WLFnlDu0xt0PqB3iOPPOI1wOfNm5fagKKrOvEDDZ1grj0aL730klRXVzs9d6YrK9P/zv3e9Boif1EKBF3vBBdRapMWAhkCQV++jF35NQEBHWLz+uuvizZedZ7CQw89JDYMHcqF8sCBA978DJ2Mrr0ZWnZTlr3VvGkvRVNTk2ig973vfc+YvOViW+g+ej2+/fbbsmbNGm8Ynl6TDz74YKHJcVyRBbjfFxmc0yUqEHS9E1wkWj2c3GaBoC+fzWU3uWz6RFyXiPWfFJvUsC62m9+boQGWPjVPysJ/gq91ops2rNM67CmKOtQASy10+dwnn3xSdF6JqT1MUZTXhjS439tQi5QhV4Gg653gIldJ9kMgT4GgL1+eybF7SAE/qNCn9TTYbsbM7MUpdpChc1yeeuopntbfXCXev7hms6AY+ifu94ZWDNmKRSDoeie4iIWdRBEQCfryYVQcAW04v/LKK958A4KK7s2LGWT4T+c1RwwB6r5eMoOMF154geFS3XMl8in3+0TYOWlCAkHXO8FFQhXDae0XCPry2S+QbAl1qI0uWfqTn/zEG/Izf/58hpbkWCV+kKHL2UYdkPkNZf1JUJFjhXy5my6PvHz5cu9fq1evZuJ3fnyx7s39PlZeEjdMIOh6J7gwrMLIjj0CQV8+e0pqXkn0qfhjjz0mVVVVXuPYlMnK5kl1nyMNAHTsf3t7u9eoDTPhXYO99evXe6tVRR2wdF8K+z7VpYWfffZZb1nhn/3sZ05MeDe9Frnfm15D5C9KgaDrneAiSm3SQiBDIOjLl7Erv0YkoE/ctdGl8yrWrl3rzOpPEfF1mYw/L0LfkaFBW76Ti/WJ+8KFCwn2uhTO/wMN1nSIlC4vvGLFCm8J2/xT4YioBLjfRyVJOmkQCLreCS7SUIvkMZUCQV++VBbK4Ez7DWBdvlTffpxvA9jgohmRtczGbK6BWyHHGFHYFGVCe5eWLFniDZHSHiF66ZKpPO73ybhz1mQEgq7325LJFmdFAAEEohHQBqw2rvQleJs2bfLe20BgEY1tZipqunTpUq9HSHshVq1aJWrf1aa9Ffombd30bdRhhlR1dQ7+Ll5Q8cYbb8jgwYNl6tSpokMC2RBAAIEkBQguktTn3AggEEpAn9pqA7Z3796iDawRI0aESo+DgwU0SNBg4fLlyzJnzhzRd2V03nQiuAYgOmxHAxKCvc5C0f5bfbXHTnuUdNiavoivu8Av2rOTGgIIIHCzAMOibvbgXwhEJhDUbRjZiRxNyJ/UytKcyV0AWgezZs2SXbt2eWP+dc7LE0884WXo6aeflkGDBiWXOUfPTB0kU/Hc75Nx56zJCARd7wQXydQLZ3VAIOjL5wBBLEXUJ7LacNVeC31CSwM2FuacE9V6mDt3rjck55133pF58+YJy/7mzBfbjtp7pN+PXOfHxJYRRxLmfu9IRVNMTyDoeie44EJBICaBoC9fTKe1OlkdgvPMM89Inz59vJ8MtzGjuuvr6+Vb3/qWfP/735df//rXDIMyo1q8+Rc6TEones+cOdOQXNmZDe73dtYrpcouEHS9M+ciuxt/RQABwwQ0sNAG0qhRo0RfIEZgYUYF6dNxbbweO3bMGxqlc2CyzcMwI7du5eLBBx8Uf/ig1hMbAgggUAwBei6Kocw5nBQIiuydRCmw0P5L8ZhfUSBgTIdpg3XPnj03DU/zh+Noo5YhazHB55msDiV89NFH6fHL0y2f3bnf56PFvmkXCLreCS7SXsPk31iBoC+fsRk3LGMaWFRUVEhDQ4Pok1i25AX8eS+ffvqpvPjii7f0IhEMJl9HnXPgBxj692x11nl//p2fAPf7/LzYO90CQdc7wUW665fcGywQ9OUzOOvGZM1vpOr7K1hm1oxqybWRSlBoRn1l5kLrTnv/zpw5Q4CRCRPB79zvI0AkidQIBF3vBBepqUoymjaBoC9f2spT7Pz6gQXDa4ot3/X5cg0s/BQIMHwJs37qcLampiYCjAirhft9hJgkZbxA0PXOhG7jq5AMImCSwFU5/Pyfid5Yuv1v4FKpv3K94IwTWBRMF9uB+QYWmhEdxqbD2XRYm9YpmxkC+sI9XRhB52FovUa7dXOP+LMn5Jf1J+VqtCckNQQQMEyA4MKwCiE7CJgt0FMeePy38rvf/lwGyHCp2XJOOjo6Mv77nRxf/1MZ/uMpMq5XYbcX/2k3PRZmXQn6bhHd8h2vnxlgsIqUOXWqAcY999wTQ4CReY94QJb8tv2L+8M/HZctE47K/G/Nkv+49UMp/NGDOYbkBAEEsgsU9n//7GnxVwQQcELgj/LR2Q/kgoyVSeX9O5W4l4yoqJa//M790qvTJ7n8U1/I5k/eZqWhXMSKs48Oo+lq8nYuOfADDF1KmAAjF7Hi7KPvwNDNDxyjP+swGTmo5xfJ9iyTGfN/JNXSLL/cflg+jv5kpIgAAoYIEFwYUhFkA4H0CFyV8y2nRaqnSsXXv/Zltj+R+v/6ihz+XOS2ET+Sxyb3y7s42ujUNz2zKlTedLEeoEvL6nKz+fZYdM6UBhj+y9wuXbrU+WP+nYCAvitG61UDx2jfg3FJGnftlgs33SOuy9XzH8g/yACpnvQNuSuB8nJKBBAojgDBRXGcOQsC9ghcOSa7ftUm1T/69/J17w5yRU5u/Wt57g8j5N7bCyumjvvWp9ra+NRGKJsZAjpETRud+l8ULy3UOq6pqZEnnngihrH+ZpilLRdar88995xoELl79+5osv/5h3Jky2EZ/u1RMkzvEdcvyOGtfy2PzN0gI5eskZd+OEJofERDTSoImCjAalEm1gp5skIgaDWFtBby+slfyrSR8+XmZsgAqV5fLzt+WlZQo+Hhhx/2JpjqOHA2MwS0J6m0tFRaWloiXwZY61vH+y9dutSMwpILb7iaBn9r166V0aNHhxLJfo/4c6lr3CSPP9A7VNqmHmzr/d5Ub/KVrEDQ9c7Dg2Trh7MjkDKB38sHDTtlt8yW9S2ffTFR8/+dl9/+fJp8e9SgggILfzjG/PnzU2Zhb3b9nqRdu3ZFHliomg7FOXTokOikfTYzBHSOk74DY+HChSHnxfj3iP8gW9r+r3R0/EHaGjfKkqojUvv430j9hT+aUWBygQACsQkQXMRGS8II2CjQLs37jogMnyCjhn053+K2O2XQyIky9t4eeRdYh93ocAwdlhHFsJu8M8ABWQV0gq8OX6qurs76edg/al1rUDlr1izRSfxsZgjokETtPXzmmWdCDFvz52RNkPK7dJzkn8iAB/5Clv2XeTJg73KZ+4sGuWJGcckFAgjEJEBwERMsySJgpcCVf5T/+XenZMCssRnzK74mI37ysEzOc+lZHXajq9XoMIy+fftayZXGQmlvgk7wjbsnSZ+Ua8+ITuKP/l0LaZQ3I88aVOq2fv36wjLkzcnKmG/hpXKb9PjXfUUfP1z46LL8c2EpcxQCCKREgOAiJRVFNhFIXuC6XGncI7+6MFy+/c17C1pqNrMM+nRUn5KGHd+dmSa/hxPQXgTtTdCei2L0JGnPyIwZM2JcCjWch6tH+xO8jx49mjfB9Y/OytELD8issUPkq/UdLkvT3++VU6wUlbcnByCQRgGCizTWGnlGIAmB662y57+/JRdkikz/dwNC5UCHQunmPyUNlRgHRyKgvQdLlizxehOK+Y4R7b3SoCaylYoi0XA7Ee1J1B5FnX+R17LB1z+Ubc+9ILsHVMt3xn3RG3n9wiF57Ykfybja38iAmv8mf8NKUW5fXJTeCQFWi3KimilkEgJBqykkkadCz/n54eelbFytnLqRgL6d++/ltZmlN/6S6y/akBw5cqS0trZKMRuxuebP1f1WrVolly9fltWrVxedQK8JHR61c+dOhsgVXb/rE+ZzTdx6j8hIt2qJrP9PP5Rp339ABlj6SNOm+31GzfErAlkFgq53gousbPwRgfACQV++8GdIXwr6dHzOnDlej4Uue8lmhoAJjXvtzWpubk4kuDGjFszLhX5fJ02a5K0ixftnuq8f7vfd+/CpXQJB17ulzxDsqkRKg4AtAjt27JD+/ft7L8yzpUxpL4c/HGrFihWJ9hrMnj2b4VGGXUw670aHR+nQNb1O2BBAAIFcBOi5yEWJfRAoQCAosi8gyVQfomO377zzToZDGVaLujrUwYMHjegx0AnEOs5/3759RZlQblhVGJsdHR7Vq1cvbwEGYzOZcMa43ydcAZy+qAJB1zvBRVGrg5O5JBD05XPJQsuqk4XLy8uZxG1QxZsY8NGQNegC+TIrep1MnTpVNm3aFMtLFc0rcf454n6fvxlHpFcg6HonuEhv3ZJzwwWCvnyGZz/S7PFEOlLOyBIzMeDzA56WlhYaspHVdPiETOrhCl+a6FPgfh+9KSmaKxB0vTPnwty6I2cIWCOwfPly0TH9xXh3gjVoMRdEJ3Hv3btXdK6DSZsug7plyxZZt26dSdlyPi/Tpk3z5sQcOHDAeQsAEECgewGCi+59+BQBBEIK+I0RfWEamzkCdXV18uSTTxoZ8GlDVgMfDYDYzBDQBwO1tbWi1w0bAggg0J0AwUV3OnyGAAKhBbQxoo0SNnMENOBrb28XbcSbuGlDVgMfHbbFZo6Avxyt/8DAnJyREwQQMEmA4MKk2iAvCFgm4DdC/EaJZcVLbXH8gM/kYWr+e1D8ayi12JZlnN4LyyqU4iAQgwDBRQyoJIkAAl8I+I1YPMwR8BvraQj4tCG7YcMGc/DIifjXjX8dQYIAAgh0FiC46CzCvxFAIBIBv/HhN0YiSZREQgts375dFi1aFDqdYiQwduxYaWpqYu5FMbDzOAe9F3lgsSsCDgoQXDhY6RQZgWII0GtRDOX8zuGvEFVZWZnfgQnt7c+9YOWohCqgi9P6Dwz8Bwhd7MafEUDAUQGCC0crnmIjEKeANmLb2tpuDKGI81yknbvAm2++aewKUV2VQieda6Cq779gM0dAe7+0F4wNAQQQ6CzAS/Q6i/BvBCISCHrJTESnMTIZfctyWVmZ+JNyjcykY5nyX0538eJF0XdJpGlbs2aNl93FixenKdtW5/Wzzz6TSZMmib5cb9CgQVaXNZfCuXy/z8WHfewSCLreCS7sqm9KY5BA0JfPoKxGmpU0N2IjhTAsMW0EnjhxQpYuXWpYzoKzc/78eS9Q3bdvn5Hv5QgugZ17EPR9Va+u3u+/EuA3lwSCrneGRbl0NVBWBIogoC8/W7lyZeqejheBJtFTbNy4Ub773e8mmodCT65PxkeNGiVHjhwpNAmOi0FgxowZoteV9mKwIYAAAr4AwYUvwU8EEIhEIM2N2EgADEzk6NGjXq5Gjx5tYO5yy9K8efMY458bVdH2IugrGjUnQiBVAgQXqaouMouA2QI6fEUncqe5EWu2cGG5a2hoSP38F12WlondhdV/nEfNnj1bdLgaGwIIIOALEFz4EvxEAIHQAvX19VJTUxM6HRKIVkB7kyZPnhxtokVOTZel1eF2jY2NRT4zp+tOYNy4cbJs2TKGRnWHxGcIOCZAcOFYhVNcBOIU0EnDFRUVcZ6CtPMU0CFRAwcOtGJFH12daPPmzXkKsHucArry2IIFC5gPEycyaSOQMgGCi5RVGNlFwFQBhkSZWTM2DInyZXVolL5Qj3de+CJm/GRolBn1QC4QMEWA4MKUmiAfCKRcgCFRZlagDUOifFl/aNTx48f9P/HTAAF/aJQBWSELCCBggADBhQGVQBYQsEFg//79DIkyrCK1N0k3m15ypg1ZJhCbdaH5Q6P8VcnMyh25QQCBYgsQXBRbnPMhYKGArnOvw1VGjhxpYenSW6RDhw5ZN8Feg4tt27alt1IszXllZaUcO3bM0tJRLAQQyEeA4CIfLfZFAIGsAi0tLd6kTh22wmaOwMGDB2XMmDHmZCiCnOhTcp2gfvLkyQhSI4moBO6//37R3ks2BBBAoKSjo6MjkyHold6Z+/I7Agh0LeDSd0nH9ffs2TP171LoujbT+YlegxcvXrTubelr1qzxAoyZM2ems2IszLX2Xvbo0UOuXbsmLj5kcOl+b+HlS5HyFAi63um5yBOU3RFA4FYBfWI5bNiwWz/gL4kJ6JP96dOnWxdYKKj2xpw4cSIxW058q4AGFLokrfZisiGAgNsCBBdu1z+lRyASAeZbRMIYaSJnz56VCRMmRJqmKYkNGTKEeRemVEZGPnTexenTpzP+wq8IIOCiAMGFi7VOmRGIUMB/Qu7iUIgIGSNPSuulrKws8nRNSFBXv3r33Xd534UJlZGRh+HDh4vO82FDAAG3BQgu3K5/So9AaAGbn5CHxkkwgaamJikvL08wB/Geura2Vs6dOxfvSUg9LwHtUdq7d29ex7AzAgjYJ0BwYV+dUiIEiirw0UcfWfuEvKiQEZ9Mh6qVlpZGnKo5yWngxBAcc+pDc+L3KOnkbjYEEHBXgODC3bqn5AhEItDc3Gz1E/JIkIqciL48b/z48Vav2nP33XczqbvI11Uup9NJ3a2trbnsyj4IIGCpAMGFpRVLsRAoloAOg9AlKNnMEdDlQKuqqszJUAw5GTp0qFy+fDmGlEkyjMA999wjOlSSDQEE3BUguHC37ik5ApEI6MRaHQ7BZo6AC71J/fr1k7q6OnPQyYknoIsIXL16FQ0EEHBYgODC4cqn6AiEFfBXigqbDsdHK6CNO32poc2bvqmbzTyBu+66ixWjzKsWcoRAUQUILorKzckQsE9gxIgR9hUq5SXSngsXXmqo4/s1wGUzR6B///7mZIacIIBAIgIEF4mwc1IE7BDQsdW9e/e2ozCWlcKFeTB9+vSxrNbSXxy97liONv31SAkQCCNAcBFGj2MRcFxAh9/Y+qK2NFetK5PsNbBtb29Pc1VZl3d/OVrrCkaBEEAgZwGCi5yp2BEBBBBIh4Ark+w1sP3444/TUSnkEgEEEHBEgODCkYqmmAjEIdDW1hZHsqSJAAIpF+BFeimvQLKPQAgBgosQeByKgOsC586d4wV6rl8ElB+BTgK1tbW8SK+TCf9EwCUBgguXapuyIoCA9QI8Mba+iikgAgggYLQAwYXR1UPmEEAAgfwEWltbRZ8cu7DxTgUXapkyIoBA2gQILtJWY+QXAQQQQMAT4J0KXAgIIICAeQIEF+bVCTlCAAEEEEAAAQQQQCCVAgQXqaw2Mo0AAggggAACCCCAgHkCBBfm1Qk5QgABBEIJnDx5MtTxaTmYN8SnpabIJwIIuCRAcOFSbVNWBBCwXmDEiBGyfft268upBeQN8U5UM4VEAIGUCRBcpKzCyC4Cpglcu3bNtCyRHwQQSFDAlZ6zBIk5NQJGCxBcGF09ZA4BswXKy8vl9OnTZmeS3CGAQFEFtOdMe9DYEEDATQGCCzfrnVIjEIlAz549I0mHRBAoRECHRbEhgAACCJglQHBhVn2QGwQQQCC0wIIFC8SFoSnNzc0ybNiw0F4kgAACCCAQnQDBRXSWpISAcwK8IdnMKu/Tp4+ZGYshVz169IghVZIsVECDWg1u2RBAwF0Bggt3656SIxBagDckhyaMJYHevXtLe3t7LFGUpF4AABgkSURBVGmblOjevXuF4MKkGvkiLy4Ft+bpkyMEkhcguEi+DsgBAqkV0IadNvDYzBIoKyuTjz/+2KxMxZCbd999VwYNGhRDyiRZqIC+e2Tw4MGFHs5xCCBggQDBhQWVSBEQSEpAG3bawGMzS0An2p84ccKsTEWcm/Pnz8v48eMjTpXkwgroJPuBAweGTYbjEUAgxQIEFymuPLKOgAkC06dPd2LysAnWueZh6NChcvny5Vx3T+V++n6VqqqqVObd5kwfPHhQdC4WGwIIuCtAcOFu3VNyBCIR0PXsXRjfHwlWkRLp16+f1NXVFelsyZxGV4pi+E0y9t2dVSd0MxerOyE+Q8B+AYIL++uYEiIQq8DEiROdGN8fK2LEifft29dL8dKlSxGnbE5ybW1tvKjNnOq4kRNeoHeDgl8QcFaA4MLZqqfgCEQjwHK00ThGnUptba2cO3cu6mSNSa+pqUl0+BebOQIsQ2tOXZATBJIUILhIUp9zI2CBwJAhQ1gxysB6LC8vl9OnTxuYs2iytG7dOiktLY0mMVKJREBXirrnnnsiSYtEEEAgvQIEF+mtO3KOgBEC/opRNg/BMQI6z0wMHz5cdHKtjZs+IdeFBO644w4bi5faMmm9jBs3LrX5J+MIIBCNAMFFNI6kgoDTAjoE5/jx404bmFb4++67z9pJ3TqZe8qUKaaRO5+fPXv2MFTN+asAAARECC64ChBAILSATup+7733QqdDAtEJ6KRufbqv74OwbdMemTFjxthWrFSXR3sumcyd6iok8whEJkBwERklCSHgroCO79enlmxmCejT/ffff9+sTEWQG11mV3tm2MwR0J5L7cFkQwABBAguuAYQQCC0gL7rQp9aMu8iNGWkCejTfduCPn++hb/cbqRgJFawgPZcag8mGwIIIEBwwTWAAAKRCKxcuVIaGxsjSYtEohHw51189tln0SRoQCo6JIr5FgZURKcsbNy4USZMmNDpr/wTAQRcFCC4cLHWKTMCMQjoKjEEFzHAhkhSn+4vWLBAWlpaQqRi1qH79++XiooKszLleG50Xs/AgQNFV45jQwABBEo6Ojo6MhlKSkqk058yP+Z3BBDIUcC175IOibrzzjvl2rVrLBGa4zVSjN30ifKVK1dk8eLFxThdrOfwrzH+HxUrc96J23SN5V34Lw9w7X5fqBPH2SEQdL3Tc2FHPVMKBBIX8J+SHzlyJPG8kIGvBCZPniza+LNh054xHX7HZpbA1q1b6U0yq0rIDQKJChBcJMrPyRGwS2D27Nmyb98+uwqV8tLoUBUdsnL06NGUl0Rk8+bNMmnSpNSXw6YC6JCotrY2GT16tE3FoiwIIBBCgOAiBB6HIoDAzQI672LZsmVi0wTim0uYzn/NnDlTGhoa0pn5L3OtQ6Kamppk7NixqS6HbZmvr6+Xmpoa24pFeRBAIIQAcy5C4HEoAt0JBI1J7O7YNH+2ZMkSbzWf6urqNBfDqrz7cxXSPB+Gcf1mXpK6QtSmTZtEl6N2eXP1fu9ynbtc9qDrnZ4Ll68Oyo5ADAL6VmgdvsJmjoAN82HWrFkjBKzmXFOakwMHDnhD7lwPLMyqFXKDQPICBBfJ1wE5QMAqAR22osNX9GVnbOYIzJs3TzZs2GBOhvLICY3YPLCKuKu+OHPRokVFPCOnQgCBNAgQXKShlsgjAikSuOOOO7xlT3fv3p2iXNuf1TQHfTRizbs+dahdXV2dVFZWmpc5coQAAokKMOciUX5ObrNA0JhEm8vuj/G/ePGi6JAcNjME0jhvQVcj0gnpugqZBq5sZgjoMDXdbHh/ShSiLt/vo/AjjXQJBF3vBBfpqk9ymyKBoC9fiopSUFZXrVolZWVlXsOwoAQ4KHKBNAZ9NGIjvwxCJ6irwemSwPp+C97K/QWn6/f70BcVCaRKIOh6J7hIVXWS2TQJBH350lSWQvKqcy7mzp3LE+dC8GI8Jk2N9TQGQzFWnTFJa1Bx8OBBWb16tTF5Sjojrt/vk/bn/MUVCLreCS6KWx+czSGBoC+fCxS6LO3EiRPpvTCostPUYE9TIGRQFceaFb/XguVnb2bmfn+zB/+yWyDoeie4sLv+KV2CAkFfvgSzVrRT03tRNOq8TpSGRnuagqC88FO+M70W2SuQ+312F/5qp0DQ9U5wYWe9UyoDBIK+fAZksShZoPeiKMx5nSQNDfc0BEB5oVuwM70WXVci9/uubfjEPoGg653gwr46p0SGCAR9+QzJZuzZoPciduKCTmBy4z0NwU9B6Ck/SFcba25uZq5Flnrkfp8FhT9ZKxB0vRNcWFv1FCxpgaAvX9L5K+b5deWoXr16sWxlMdEDzuU34FtaWsS0Nyxrb9fgwYO5XgLqsJgf+9dLa2srK0Rlged+nwWFP1krEHS9E1xYW/UULGmBoC9f0vkr5vlpmBRTO/dzmTh+np6u3OuvmHvygKB7be733fvwqV0CQdc7b+i2q74pDQJGCuiL9LZs2SIvvviikflzNVPTpk0TbcwfOHDAGALttVixYgUvzDOmRsS7RrZt2ybz5883KFdkBQEETBUguDC1ZsgXApYJ+A3Z3bt3W1ay9BZH33i9fPlyeeyxx0Qn6ya9aU9K//79pbq6OumscP4vBfS6IODjckAAgXwECC7y0WJfBBAoWMBvyD711FNGNGQLLohlB44ePVqqqqpk/fr1iZbs/PnzMmvWLKmtrU00H5z8ZoEdO3YQ8N1Mwr8QQCBAgDkXAUB8jEChAkFjEgtNN+3H6dht3ZYuXZr2oliTf50TM3XqVEnyxWgPP/ywVFZWSk1NjTWuaS+IBnylpaXCJO7gmuR+H2zEHvYIBF3v9FzYU9eUBIFUCOgQHB2/bdI4/1TAxZhJnROj8xzmzp2bSK+SDodqb2+X2bNnx1hKks5HQIdDPfPMM95cqUGDBuVzKPsigIDjAgQXjl8AFB+BYgvo8Ki1a9d64/z1iTmbGQI6z0GHR73wwgtFzZA/HGr16tVM4i6qfPcn27x5s7fDzJkzu9+RTxFAAIFOAgyL6gTCPxGISiCo2zCq86Q1HX2JW1NTk7z66qtpLYJ1+fbfwKwBxoMPPhh7+fR8c+bM8YZC0YiNnTvnExw9elQWLlwoO3fuFO3VYgsW4H4fbMQe9ggEXe/0XNhT15QEgVQJ+Mta6lt/2cwQyOxV0h6FuDedRK4v8COwiFs69/S1N1EDCw0wCSxyd2NPBBD4SoCei68s+A2BSAWCIvtIT5bSxLQBqw1LHSalqxaxmSGgAd/+/fu995JowBHHpksS68ph+/btYzhUHMAFpqkT60eNGsXb0fP0436fJxi7p1og6Hqn5yLV1UvmEUi3gE4U1Sek+qS0GE/K061VvNzrik19+vSJbf6F1vV3vvMdb3WquIKX4mnZcyYdqqib36toT8koCQIIFFOA4KKY2pwLAQRuEdCx/YsXL/b+0zH4bGYI6EpBhw4dkqiHremwG+2t2rVrlzckyozSkgvtSdK6fu655+hJ4nJAAIFQAgyLCsXHwQh0LRDUbdj1kW5+ou+/OHPmTKxDcdyULbzU/rC1qCZ4a/D46KOPMuym8CqJ5UhdFrqiooL3WYTQ5X4fAo9DUycQdL3Tc5G6KiXDCNgpoO+/0C3pN0XbqVtYqXTYmr5YTxueuoJQmM0PLHS4lfZUsZkhoAGkfvcaGhqE91mYUSfkAoG0CxBcpL0GyT8Clgjo2PsXX3zRW57WH/ttSdFSXQxdzUkbnmHnxfhBow63YjNDIOqeKTNKRS4QQCBpAYKLpGuA8yOAwA0BDTCefvppb+w3AcYNlsR/0XkxOjRK50pogzTfzX+niQaPTODOVy+e/f3AQifvF+OdJvGUglQRQMBEAYILE2uFPCHgsIAOzdi6dSsBhmHXgDZAV6xYkXeAQWBhWEWKeAGiBooaWDBEzbz6IUcIpF2A4CLtNUj+EbBQgADDzEqtrq6+8TbtXHowCCzMq8fMHgsCC/PqhxwhYIMAq0XZUIuUwUiBoNUUjMy0YZmiIWRYhXyZHV1dSCcBaw9TV5OACSzMqzu+T/HVCff7+GxJ2TyBoOudngvz6owcIYDAlwJ+D8aePXtEG6tsZghkzsHQQCNz01WhlixZ4k3MZ45Fpkyyv/uBhf9OmWRzw9kRQMBmAXoubK5dypaoQFBkn2jmUnbyzGVMdbUhJgWbUYH++xF0NSkNOPx60twRWJhRR5qLzvVkTs7syQn3e3vqkpIECwRd7/RcBBuyBwIIJCzgL1Or2dCXsOlbntmSF9CAoqWlxRsi9Ytf/EImTZrkvSDv1VdfJQBMvnq8HOjQNf89FlpfbAgggEDcAvRcxC1M+s4KBEX2zsKELLgOj9q4caP3cjd9BwNb8gLbtm3z3oOhjdfXX3+dwCL5KvF6kfTdIvpd6W5ujAFZtSIL3O+tqEYKkaNA0PVOz0WOkOyGAAJmCOiYcX3nwsiRI71Gkxm5cjcX2nhdtWqVvPXWW3LvvffKnDlzCnoXhruC0Zdc51doD19TU5Ps27evy0n30Z+ZFBFAAAERgguuAgQQSJ2APiFvbW31nsrq5GEd689WXAEdmvbwww/L/v37vSDvm9/8pqxevdpbqra0tFR2795d3AxxNk9A51foOywqKyuF4WlcFAggkIQAwUUS6pwTAQRCC+hKUm+88Yb07t3bG+t/8uTJ0GmSQG4CR48elalTp3rzK3TiduZytNqw1XkYTz31lNejQeCXm2nYvdRZhwzq/Iq1a9d6QV7YNDkeAQQQKESA4KIQNY5BAAEjBHSi99KlS703R8+dO9fryaAxG1/VqK0OgVq4cKHXgNUhatlW7tK5MDocRzed5K3BCFt8AhpY63C0c+fOyc6dO2X06NHxnYyUEUAAgQABgosAID5GAAHzBfTN0dqoam5u9hpZ9GJEX2caIGigoJsGDkENWD/w0/kxGoxoUELgF229qKfOedHAetGiRd6wtL59+0Z7ElJDAAEE8hQguMgTjN0RQMBMAW1U6Zh/bWRpY0sbsyxZG76u1FDntfi9FdpTlK23oqsz6fyYzF4M5mJ0JZXf33VuhQZ7GlBrYK0BNhsCCCBgggBL0ZpQC+TBSoGgpdqsLLQhhdIG8SuvvCK6ROqTTz4p06ZNy6tBbEgxEs2GPhXfsWOHzJo1S1577TWZPXt2aEPt/Vi+fLn0799famtrhaWE869i7ZVbt26d7N271xuaFtSDlP8ZOKIQAe73hahxTFoFgq53ei7SWrPkGwEEuhTQXgx9wr5p0yavgazj0fVJL1tuAtq7oE/FDx486K3KVVNTEzqw0DNrQ1gDPg32tHdJe0ToXcqtTtRJJ2zrEswTJ07MaWhabimzFwIIIBCtAMFFtJ6khgACBgnok3FdjlOfktfV1cmMGTMIMrqpHw3A1Ojll1/2norrMLPMlaC6OTSvj3RFKR0qNXjwYLnzzju9RjNBRnZCP6hQJ90uXrzoLTWbz9C07CnzVwQQQCAeAYZFxeNKqghIULchRMUX0MazBhm6acCh8wFc33T405EjRxJz0cazvtX7kUcekZdeeskLbuIIaNJWz51dHnroIWGytrm1yP3e3LohZ9ELBF3vBBfRm5MiAp5A0JcPpuQEMoMMHfLj4pwMbbzquP1nn33We1/FvHnzEg22/Ma0rn5UVVUl2ph2cT6Bzql48803ZdmyZV6wRVCR3H0inzNzv89Hi33TLhB0vRNcpL2Gyb+xAkFfPmMz7lDGdIKxPjXX3gx9aq4r7tg+yVjL/M4773iN15UrV8oPfvADo8rsTyTXIEM3Df402LD5qb2WWd90rsPR2travEUIbC+zbbcZ7ve21Sjl6U4g6HonuOhOj88QCCEQ9OULkTSHRiygT83ffvttb+z/wIEDvTHtkydPjmW+QcRZzym58+fPS319vWzdutXbPy0N9s6BkE4yHzt2bCSTy3OCi3Enfziazj3RXgodpjd9+vREe49iLK71SXO/t76KKWCGQND1TnCRgcWvCEQpEPTli/JcpBWdgDZoGxoavJeTpTnQ0OE1utqTBhT6NFwDirT2zGjw19jYKJs3b/aWYdUeFw007rvvvlT1aHQOKBYsWOAt8Ttu3LhUlSO6b5s9KXG/t6cuKUmwQND1TnARbMgeCBQkEPTlKyhRDiqqQGagoSfWBvqYMWOMbNRq78T777/vNcJ1uVcNjKZMmSIVFRVWzV3wA409e/Z4w9m0gV5ZWSn333+/t0yraaso+UGeDnvS91MQUBT1K1y0k3G/Lxo1JzJAIOh6J7gwoJLIgp0CQV8+O0ttb6k6N961pLpsa1lZmZSXl0u/fv2K9vRZG9jnzp2T06dPe70TOjHbz48+Bf/GN75hzZCu7q4o7QloaWmRY8eOeXMW/Mb7qFGjvHkkQ4cOLep8Eg0k2tvb5dSpUzflx+TgpztfPstdgPt97lbsmX6BoOud4CL9dUwJDBUI+vIZmm2ylaOABhsffvih15Bsbm6+aSnX3r17e0GHJqWBh7/lOllcG6n+pmnrpkOcPv30U+/p9/jx471Jzpr28OHDZciQIU4EE75JVz812GhtbRU1O3HihJw5c8bz0rkMaq/v1dAenbvuust7S7imk2tQqAHdJ5984p1aA4iPP/5Yrl696p1L62v79u3enIkJEybcCDhLS0utmB/SlTd//0qA+/1XFvxmv0DQ9U5wYf81QAkTEgj68iWULU4bo4DfAD179qzX8NS5DtrDoJvfAM3l9Dp0pk+fPt6uGkD07NnzRoOYBmsugjfvo4HgtWvXvEBAP9FAzd/89574/+7up0669jd9S7ZufvCYa+DoH89PuwS439tVn5Sme4Gg653gons/PkWgYIGgL1/BCXMgAggggIBRAtzvjaoOMhOzQND1flvM5yd5BBBAAAEEEEAAAQQQcESA4MKRiqaYCCCAAAIIIIAAAgjELUBwEbcw6SOAAAIIIIAAAggg4IgAwYUjFU0xEUAAAQQQQAABBBCIW4DgIm5h0kcAAQQQQAABBBBAwBEBggtHKppiIoAAAggggAACCCAQtwDBRdzCpI8AAggggAACCCCAgCMCBBeOVDTFRAABBBBAAAEEEEAgbgGCi7iFSR8BBBBAAAEEEEAAAUcECC4cqWiKiQACCCCAAAIIIIBA3AIEF3ELkz4CCCCAAAIIIIAAAo4IEFw4UtEUEwEEEEAAAQQQQACBuAUILuIWJn0EEEAAAQQQQAABBBwRILhwpKIpJgIIIIAAAggggAACcQsQXMQtTPoIIIAAAggggAACCDgiQHDhSEVTTAQQQAABBBBAAAEE4hYguIhbmPQRQAABBBBAAAEEEHBE4HZHykkxEUhEoKSkJJHzclIEEEAAAQQQQCAJAYKLJNQ5pxMCHR0dTpSTQiKAAAIIIIAAAr4Aw6J8CX4igAACCCCAAAIIIIBAKAGCi1B8HIwAAggggAACCCCAAAK+AMGFL8FPBBBAAAEEEEAAAQQQCCVAcBGKj4MRQAABBBBAAAEEEEDAFyC48CX4iQACCCCAAAIIIIAAAqEECC5C8XEwAggggAACCCCAAAII+AIEF74EPxFAAAEEEEAAAQQQQCCUAMFFKD4ORgABBBBAAAEEEEAAAV+A4MKX4CcCCCCAAAIIIIAAAgiEEiC4CMXHwQgggAACCCCAAAIIIOALEFz4EvxEAAEEEEAAAQQQQACBUAIEF6H4OBgBBBBAAAEEEEAAAQR8AYILX4KfCCCAAAIIIIAAAgggEEqA4CIUHwcjgAACCCCAAAIIIICAL0Bw4UvwEwEEEEAAAQQQQAABBEIJEFyE4uNgBBBAAAEEEEAAAQQQ8AUILnwJfiKAAAIIIIAAAggggEAoAYKLUHwcjAACCCCAAAIIIIAAAr4AwYUvwU8EEEAAAQQQQAABBBAIJUBwEYqPgxFAAAEEEEAAAQQQQMAXILjwJfiJAAIIIIAAAggggAACoQQILkLxcTACCCCAAAIIIIAAAgj4AgQXvgQ/EUAAAQQQQAABBBBAIJQAwUUoPg5GAAEEEEAAAQQQQAABX4DgwpfgJwIIIIAAAggggAACCIQSILgIxcfBCCCAAAIIIIAAAggg4AsQXPgS/EQAAQQQQAABBBBAAIFQAiUdHR0dfgolJSX+r/xEAAEEEEAAAQQQQAABBLIKZIQQN31+e+a/utopcx9+RwABBBBAAAEEEEAAAQSyCTAsKpsKf0MAAQQQQAABBBBAAIG8BQgu8ibjAAQQQAABBBBAAAEEEMgm8P8BzvpxduvRSF0AAAAASUVORK5CYII="></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the number of children who play only football.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n(F)"> <mi>n</mi> <mo stretchy="false">(</mo> <mi>F</mi> <mo stretchy="false">)</mo> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Box 1 contains 5 red balls and 2 white balls.</p>
<p>Box 2 contains 4 red balls and 3 white balls.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A box is chosen at random and a ball is drawn. Find the probability that the ball is red.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math> be the event that “box 1 is chosen” and let <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math> be the event that “a red ball is drawn”.</p>
<p>Determine whether events <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math> are independent.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram shows a circular horizontal board divided into six equal sectors. The sectors are labelled white (W), yellow (Y) and blue (B).</p>
<p style="text-align: center;"><img 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"></p>
<p>A pointer is pinned to the centre of the board. The pointer is to be spun and when it stops the colour of the sector on which the pointer stops is recorded. The pointer is equally likely to stop on any of the six sectors.</p>
<p>Eva will spin the pointer twice. The following tree diagram shows all the possible outcomes.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that both spins are yellow.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that at least one of the spins is yellow.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability that the second spin is yellow, given that the first spin is blue.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Sara regularly flies from Geneva to London. She takes either a direct flight or a non-directflight that goes via Amsterdam.</p>
<p>If she takes a direct flight, the probability that her baggage does not arrive in London is 0.01.<br>If she takes a non-direct flight the probability that her baggage arrives in London is 0.95.</p>
<p>The probability that she takes a non-direct flight is 0.2.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_11.08.43.png" alt="M17/5/MATSD/SP1/ENG/TZ1/07"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the tree diagram.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that Sara’s baggage arrives in London.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A florist sells bouquets of roses. The florist recorded, in<strong> Table 1</strong>, the number of roses in each bouquet sold to customers.</p>
<p style="text-align: center;"><strong>Table 1</strong></p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>The roses can be arranged into bouquets of size small, medium or large. The data from <strong>Table 1</strong> has been organized into a cumulative frequency table,<strong> Table 2</strong>.</p>
<p style="text-align: center;"><strong>Table 2</strong></p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the cumulative frequency table.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability that a bouquet of roses sold is <strong>not</strong> small.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A customer buys a large bouquet.</p>
<p>Find the probability that there are 12 roses in this bouquet.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A sample of 120 oranges was tested for Vitamin C content. The cumulative frequency curve below represents the Vitamin C content, in milligrams, of these oranges.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-03-06_om_09.11.24.png" alt="N16/5/MATSD/SP1/ENG/TZ0/02"></p>
</div>
<div class="specification">
<p>The minimum level of Vitamin C content of an orange in the sample was 30.1 milligrams. The maximum level of Vitamin C content of an orange in the sample was 35.0 milligrams.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Giving your answer to one decimal place, write down the value of</p>
<p>(i) the median level of Vitamin C content of the oranges in the sample;</p>
<p>(ii) the lower quartile;</p>
<p>(iii) the upper quartile.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a box-and-whisker diagram on the grid below to represent the Vitamin C content, in milligrams, for this sample.</p>
<p><img src="images/Schermafbeelding_2017-03-06_om_12.47.06.png" alt="N16/5/MATSD/SP1/ENG/TZ0/02.b"></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The following Venn diagram shows the sets <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
<mi>A</mi>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
<mi>B</mi>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="C">
<mi>C</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="U">
<mi>U</mi>
</math></span>.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> is an element of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="U">
<mi>U</mi>
</math></span>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-03-06_om_09.16.47.png" alt="N16/5/MATSD/SP1/ENG/TZ0/03"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In the table indicate whether the given statements are True or False.</p>
<p><img src="images/Schermafbeelding_2017-03-06_om_12.54.23.png" alt="N16/5/MATSD/SP1/ENG/TZ0/03.a"></p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the Venn diagram, shade the region <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A \cap (B \cup C)'"> <mi>A</mi> <mo>∩</mo> <mo stretchy="false">(</mo> <mi>B</mi> <mo>∪</mo> <mi>C</mi> <msup> <mo stretchy="false">)</mo> <mo>′</mo> </msup> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A tetrahedral (four-sided) die has written on it the numbers 1, 2, 3 and 4. The die is rolled many times and the scores are noted. The table below shows the resulting frequency distribution.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-16_om_05.55.47.png" alt="M17/5/MATSD/SP1/ENG/TZ2/07"></p>
<p>The die was rolled a total of 100 times.</p>
</div>
<div class="specification">
<p>The mean score is 2.71.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an equation, in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span>, for the total number of times the die was rolled.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the mean score, write down a second equation in terms of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> and of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Each month the number of days of rain in Cardiff is recorded.<br>The following data was collected over a period of 10 months.</p>
<p style="text-align: center;">11 13 8 11 8 7 8 14 <em>x </em> 15</p>
<p style="text-align: left;">For these data the <strong>median</strong> number of days of rain per month is 10.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <em>x</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the standard deviation</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A city hired 160 employees to work at a festival. The following cumulative frequency curve shows the number of hours employees worked during the festival.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-14_om_07.01.49.png" alt="M17/5/MATME/SP1/ENG/TZ2/08.a.ii"></p>
</div>
<div class="specification">
<p>The city paid each of the employees £8 per hour for the first 40 hours worked, and £10 per hour for each hour they worked after the first 40 hours.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the median number of hours worked by the employees.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the number of employees who worked 50 hours or less.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the amount of money an employee earned for working 40 hours;</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the amount of money an employee earned for working 43 hours.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the number of employees who earned £200 or less.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Only 10 employees earned more than £<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span>. Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="k">
<mi>k</mi>
</math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Andre will play in the semi-final of a tennis tournament.</p>
<p>If Andre wins the semi-final he will progress to the final. If Andre loses the semi-final, he will <strong>not</strong> progress to the final.</p>
<p>If Andre wins the final, he will be the champion.</p>
<p>The probability that Andre will win the semi-final is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>. If Andre wins the semi-final, then the probability he will be the champion is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>6</mn></math>.</p>
</div>
<div class="specification">
<p>The probability that Andre will not be the champion is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>58</mn></math>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the values in the tree diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Given that Andre did not become the champion, find the probability that he lost in the semi-final.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X">
<mi>X</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="Y">
<mi>Y</mi>
</math></span> be normally distributed with <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="X \sim {\text{N}}\left( {14{\text{, }}{a^2}} \right)">
<mi>X</mi>
<mo>∼<!-- ∼ --></mo>
<mrow>
<mtext>N</mtext>
</mrow>
<mrow>
<mo>(</mo>
<mrow>
<mn>14</mn>
<mrow>
<mtext>, </mtext>
</mrow>
<mrow>
<msup>
<mi>a</mi>
<mn>2</mn>
</msup>
</mrow>
</mrow>
<mo>)</mo>
</mrow>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="Y \sim {\text{N}}\left( {22{\text{, }}{a^2}} \right)">
<mi>Y</mi>
<mo>∼<!-- ∼ --></mo>
<mrow>
<mtext>N</mtext>
</mrow>
<mrow>
<mo>(</mo>
<mrow>
<mn>22</mn>
<mrow>
<mtext>, </mtext>
</mrow>
<mrow>
<msup>
<mi>a</mi>
<mn>2</mn>
</msup>
</mrow>
</mrow>
<mo>)</mo>
</mrow>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a > 0">
<mi>a</mi>
<mo>></mo>
<mn>0</mn>
</math></span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b"> <mi>b</mi> </math></span> so that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {X > b} \right) = {\text{P}}\left( {Y < b} \right)"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mi>X</mi> <mo>></mo> <mi>b</mi> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mi>Y</mi> <mo><</mo> <mi>b</mi> </mrow> <mo>)</mo> </mrow> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>It is given that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {X > 20} \right) = 0.112"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mi>X</mi> <mo>></mo> <mn>20</mn> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>0.112</mn> </math></span>.</p>
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {16 < Y < 28} \right)"> <mrow> <mtext>P</mtext> </mrow> <mrow> <mo>(</mo> <mrow> <mn>16</mn> <mo><</mo> <mi>Y</mi> <mo><</mo> <mn>28</mn> </mrow> <mo>)</mo> </mrow> </math></span>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Consider the following sets:</p>
<p style="padding-left: 210px;">The universal set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="U">
<mi>U</mi>
</math></span> consists of all positive integers less than 15;<br><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
<mi>A</mi>
</math></span> is the set of all numbers which are multiples of 3;<br><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
<mi>B</mi>
</math></span> is the set of all even numbers.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the elements that belong to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A \cap B"> <mi>A</mi> <mo>∩</mo> <mi>B</mi> </math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the elements that belong to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A \cap B'"> <mi>A</mi> <mo>∩</mo> <msup> <mi>B</mi> <mo>′</mo> </msup> </math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n\left( {A \cap B'} \right)"> <mi>n</mi> <mrow> <mo>(</mo> <mrow> <mi>A</mi> <mo>∩</mo> <msup> <mi>B</mi> <mo>′</mo> </msup> </mrow> <mo>)</mo> </mrow> </math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A bag contains 5 green balls and 3 white balls. Two balls are selected at random without replacement.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the following tree diagram.</p>
<p><img src="images/Schermafbeelding_2018-02-11_om_09.35.12.png" alt="N17/5/MATME/SP1/ENG/TZ0/01.a"></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that exactly one of the selected balls is green.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Place the numbers <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2\pi {\text{,}}\,\, - 5{\text{,}}\,\,{3^{ - 1}}"> <mn>2</mn> <mi>π</mi> <mrow> <mtext>,</mtext> </mrow> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mo>−</mo> <mn>5</mn> <mrow> <mtext>,</mtext> </mrow> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mrow> <msup> <mn>3</mn> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{2^{\frac{3}{2}}}"> <mrow> <msup> <mn>2</mn> <mrow> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> </mrow> </msup> </mrow> </math></span> in the correct position on the Venn diagram.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In the table indicate which <strong>two</strong> of the given statements are true by placing a tick (✔) in the right hand column.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A group of 60 sports enthusiasts visited the PyeongChang 2018 Winter Olympic games to watch a variety of sporting events.</p>
<p>The most popular sports were snowboarding (<em>S</em>), figure skating (<em>F</em>) and ice hockey (<em>H</em>).</p>
<p>For this group of 60 people:</p>
<p style="padding-left: 120px;">4 did not watch any of the most popular sports,<br><em>x</em> watched all three of the most popular sports,<br>9 watched snowboarding only,<br>11 watched figure skating only,<br>15 watched ice hockey only,<br>7 watched snowboarding and figure skating,<br>13 watched figure skating and ice hockey,<br>11 watched snowboarding and ice hockey.</p>
</div>
<div class="question">
<p>Find the value of <em>x</em>.</p>
</div>
<br><hr><br><div class="question">
<p>Let <em>A</em> and <em>B</em> be events such that <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( A \right) = 0.5">
<mrow>
<mtext>P</mtext>
</mrow>
<mrow>
<mo>(</mo>
<mi>A</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mn>0.5</mn>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( B \right) = 0.4">
<mrow>
<mtext>P</mtext>
</mrow>
<mrow>
<mo>(</mo>
<mi>B</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mn>0.4</mn>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {A \cup B} \right) = 0.6">
<mrow>
<mtext>P</mtext>
</mrow>
<mrow>
<mo>(</mo>
<mrow>
<mi>A</mi>
<mo>∪</mo>
<mi>B</mi>
</mrow>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mn>0.6</mn>
</math></span>.</p>
<p>Find <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{P}}\left( {\left. {A\,} \right|B} \right)">
<mrow>
<mtext>P</mtext>
</mrow>
<mrow>
<mo>(</mo>
<mrow>
<mrow>
<mo fence="true" stretchy="true" symmetric="true"></mo>
<mrow>
<mi>A</mi>
<mspace width="thinmathspace"></mspace>
</mrow>
<mo>|</mo>
</mrow>
<mi>B</mi>
</mrow>
<mo>)</mo>
</mrow>
</math></span>.</p>
</div>
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