API tools faq
paste
Advertisement
shubhamgoyal

matrix.html

shubhamgoyal
Sep 6th, 2018
144
0
Never
Add comment
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
HTML 5 12.77 KB | None | 0 0
raw download clone embed print report
  1. <!-- [[893,995,231,266,162],[245,343,991,339,726],[817,856,588,50,236],[490,861,107,926,940]] -->
  2. <html>
  3.         <head>
  4.             <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.9.0/katex.min.css" crossorigin="anonymous">
  5.             <script type="text/javascript" charset="UTF-8" src="https://cdnjs.cloudflare.com/ajax/libs/jsxgraph/0.99.3/jsxgraphcore.js"></script>  
  6.         </head>
  7.         <body>
  8.     <div id = "question-content">
  9.     </div>
  10.     <div id = "hint-content">      
  11.     </div>
  12.     <div id = "solution-content">
  13.     </div>
  14.     <div id = "question-content2">
  15.     </div>
  16.     <div id = "hint-content2">
  17.     </div>
  18.     <div id = "solution-content2">
  19.     </div>
  20.     <div id = "question-content3">
  21.     </div>
  22.     <div id = "solution-content3">
  23.     </div>
  24.     <div id = "question-content4">
  25.     </div>
  26.     <div id = "hint-content4">
  27.     </div>
  28.     <div id = "solution-content4">
  29.     </div>
  30.     <div id = "question-content5">
  31.     </div>
  32.     <div id = "hint-content5">
  33.     </div>
  34.     <div id = "solution-content5">
  35.     </div>
  36.     <script src = "parser.bundle.js" charset = "UTF-8">
  37.     </script>
  38.     <script type = "text/javascript">
  39.         const questionText = `A shop sells chocolate and vanilla cookies, in small and large boxes. The cost of a small box and a large box are $5 and $8 respectively. The table shows the number of boxes of each type of cookies sold on Monday.`
  40.         const configString = `[matrices(M),matrices(N),matrices_elements(M,[[32,25],[16,10]]),matrices_elements(N,[[5],[8]]),matrices_addition(M,N,s),matrices(s),table(corner(),row_labels(Chocolate cookies,Vanilla cookies),col_labels(Small box,Large box),values([[32,25],[16,10]]))]`
  41.         const questionString = ''
  42.         const subparts = [
  43.             {
  44.                 id: '100',
  45.                 questionString: 'find MN,',
  46.                 solutionString: `[matrix_solution(MN = [[32,25],[16,10]][[5],[8]]
  47.                 = [[32 * 5 + 25 * 8],[16 * 5 + 10 * 8]]
  48.                 = [[360],[160]])]`,
  49.             }, {
  50.                 id: '101',
  51.                 questionString: 'explain what your answer represents.',
  52.                 solutionString: `[matrix_solution(The total sale of chocolate cookies is $360 and the total sale of vanilla cookies is $160.)]`,
  53.             }
  54.         ]
  55.         const hintString = `Add corresponding elements in matrices`
  56.         const solutionString = '[graph(scale(x-axis 2cm = 1 unit ,y-axis 1cm = 1 unit ),equation(x^2),values([[-3,7],[-2,1],[-1,-3],[0,-5],[1,-5],[2,-3],[3,1]])),numberline(xaxis(-5,5),inequality([[5>x>2],[2<x<=5],[x<5],[x>2],[x<=2]])),figure(xaxis(false),yaxis(false),xrange(-10,10),yrange(-10,10),shapes([line(coordinates(point(value(-6,0),label(string(X)),name(X)),point(name(Y),value(6,0),label(string(Y)))),type(solid),label(string(5cm)),head(arrow),tail(hollow_point),ticks([tick(type(line),label(A)),tick(type(line),label(B)),tick(type(arrow),label(C))])),line(coordinates(point(value(6,0),label(string(Y)),name(Y)),point(name(Z),value(0,6),label(string(Z)))),type(solid),label(string(2cm)),head(arrow),tail(hollow_point),ticks([tick(type(line),label(A)),tick(type(line),label(B)),tick(type(arrow),label(C))])),line(coordinates(point(value(0,6),label(string(X)),name(X)),point(name(Z),value(-6,0),label(string(Z)))),type(solid),label(string(3cm)),head(arrow),tail(hollow_point),ticks([tick(type(line),label(A)),tick(type(line),label(B)),tick(type(arrow),label(C))]))]),angle_group([angle(value(170),label(string(5)),between(Z,Y,X)),angle(value(250),label(string(170)),between(X,Z,Y))]))]'
  57.         const questionHtml = parser.parseQuestion(questionText, configString, questionString, subparts)
  58.         const hintHtml = parser.parseHint(hintString)
  59.         const solutionHtml = parser.parseSolution(solutionString, subparts)
  60.         document.getElementById('question-content').innerHTML = questionHtml
  61.         document.getElementById('hint-content').innerHTML = hintHtml
  62.         document.getElementById('solution-content').innerHTML = solutionHtml
  63.         const questionText2 = `Two brands of toothpaste are sold at three shops. The table shows the price for each brand of toothpaste at each shop in 2006 and 2007.`
  64.         const configString2 = `[matrices(P),matrices(Q),matrices_elements(P,[[1.50,1.70,1.60],[1.20,1.10,1.40]]),matrices_elements(Q,[[1.60,1.90,1.70],[1.20,1.30,1.40]]),matrices_addition(M,N,s),matrices(s),table(corner(2006),row_labels(Sparkle,Fresh),col_labels(Shop A,Shop B,Shop C),values([[1.50,1.70,1.60],[1.20,1.10,1.40]])),table(corner(2007),row_labels(Sparkle,Fresh),col_labels(Shop A,Shop B,Shop C),values([[1.60,1.90,1.70],[1.20,1.30,1.40]]))]`
  65.         const questionString2 = ''
  66.         const subparts2 = [
  67.             {
  68.                 id: '100',
  69.                 questionString: 'Evaluate Q - P.',
  70.                 solutionString: `[matrix_solution(Q - P = [[1.60,1.90,1.70],[1.20,1.30,1.70]] - [[1.50,1.70,1.60],[1.20,1.10,1.40]]
  71.                 = [[0.10,0.20,0.10],[0,0.20,0.30]])]`,
  72.             }, {
  73.                 id: '101',
  74.                 questionString: 'Explain what your answer represents.',
  75.                 solutionString: `[matrix_solution(The difference in prices of the tubes of toothpastes between the shops in 2006 and 2007.)]`,
  76.             }, {
  77.                 id: '102',
  78.                 questionString: 'Write down the matrix M such that the product QM will give for each brand of toothpaste, the total cost of buying 20 tubes of toothpaste in 2007.',
  79.                 solutionString: `[matrix_solution(M = [[20],[20],[20]])]`,
  80.             },
  81.         ]
  82.         const solutionString2 = ''
  83.         const questionHtml2 = parser.parseQuestion(questionText2, configString2, questionString2, subparts2)
  84.         const solutionHtml2 = parser.parseSolution(solutionString2, subparts2)
  85.         document.getElementById('question-content2').innerHTML = questionHtml2
  86.         document.getElementById('solution-content2').innerHTML = solutionHtml2
  87.         const questionText3 = `A gift shop sells three different hampers for Valentine's day.
  88.         Hamper A contains 3 bottles of wine and 5 boxes of chocolates.
  89.         Hamper B contains 2 bottles of wine, 1 box of chocolates and 10 stalks of roses.
  90.         Hamper C contains 1 bottle of wine and 24 stalks of roses.
  91.         The prices of a bottle of wine is $18, a box of chocolates is $7 and a stalk of rose is $5.`
  92.         const configString3 = ``
  93.         const questionString3 = ''
  94.         const subparts3 = [
  95.             {
  96.                 id: '100',
  97.                 questionString: 'Write down two matrices such that the product will give the cost price of each type of hamper. Evaluate this product.',
  98.                 solutionString: `[matrix_solution([[3,5,0],[2,1,10],[1,0,24]][[18],[7],[5]] = [[3 * 18 + 5 * 7 + 0 * 5],[2 * 18 + 1 * 7 + 10 * 5],[1 * 18 + 0 * 7 + 24 * 5]]
  99.                 = [[89],[93],[138]])]`,
  100.             }, {
  101.                 id: '101',
  102.                 questionString: 'The shop received an order of 62 Hamper A, 88 Hamper B and 126 Hamper C. Form two matrices such that the product will give the total cost of the hampers ordered. Evaluate this product.',
  103.                 solutionString: `[matrix_solution([[62,88,126]][[89],[93],[138]] = (62 * 89 + 88 * 93 + 126 * 138)
  104.                 = (31090))]`,
  105.             }, {
  106.                 id: '102',
  107.                 questionString: 'The shop intends to make a profit of 15% on each Hamper A, 20% on each Hamper B and 30% on each Hamper C. Form two matrices such that the product will give the selling price of each hamper. Evaluate this product.',
  108.                 solutionString: `[matrix_solution([[1.15,0,0],[0,1.20,0],[0,0,1.30]][[89],[93],[138]] = [[102.35],[111.60],[179.40]])]`,
  109.             },
  110.         ]
  111.         const solutionString3 = ''
  112.         const questionHtml3 = parser.parseQuestion(questionText3, configString3, questionString3, subparts3)
  113.         const solutionHtml3 = parser.parseSolution(solutionString3, subparts3)
  114.         document.getElementById('question-content3').innerHTML = questionHtml3
  115.         document.getElementById('solution-content3').innerHTML = solutionHtml3
  116.         const questionString4 = `[string(Write down the next two terms in the following number sequence.),string(2, 5, 8, 11, ...)]`
  117.        const questionHtml4 = parser.parseSolution(questionString4)
  118.        document.getElementById('question-content4').innerHTML = questionHtml4
  119.        const solutionString4 = '[sequence_difference_underneath(list([1,21,41,61]),new_terms([81,101]),differences([+3,+3,+3,+3,+3])),string(latex(\\therefore) The next two terms are 14 and 17.)]'
  120.        const solutionHtml4 = parser.parseSolution(solutionString4)
  121.        document.getElementById('solution-content4').innerHTML = solutionHtml4
  122.         // const questionText5 = `The table below shows the speeds of 100 cars passing a speed camera on an expressway.`
  123.         // const configString5 = `[table(corner(),row_labels(Speed (v km/h),Frequency),col_labels(),values([[latex(50 < v \\leq 60),latex(50 < v \\leq 60),latex(50 < v \\leq 60),latex(50 < v \\leq 60),latex(50 < v \\leq 60)],[8,4,36,47,5]]),highlighted(row_labels))]`
  124.         // const questionString5 = `Calculate the estimated mean and the standard deviation of the speeds of the cars.`
  125.         // const subparts5 = []
  126.         // const questionHtml5 = parser.parseQuestion(questionText5, configString5, questionString5, subparts5)
  127.         // document.getElementById('question-content5').innerHTML = questionHtml5
  128.         // const solutionString5 = "[table(corner(),row_labels(),col_labels(Speed (v km/h),Frequency (f),Mid-value(x),latex(50 < v \\leq 60),latex(50 < v \\leq 60)),values([[latex(50 < v \\leq 60),8,55,440,24200],[latex(50 < v \\leq 60),4,65,260,16900],[latex(50 < v \\leq 60),36,75,2700,202500],[latex(50 < v \\leq 60),47,85,3995,339575],[latex(\\therefore 50 < v \\leq 60),5,95,475,45125],[,latex(50 < v \\leq 60),,latex(50 < v \\leq 60),latex(50 < v \\leq 60)]]),highlighted(column_labels)),evaluation_expression(lhs([string(Standard deviation),string(test string),latex(50 < v \\leq 60)]),rhs([latex(\\sqrt{\\frac{\sum fx^2}{\sum f} - (\\frac{\sum fx}{\sum f})^2} ),latex(\\sqrt{\\frac{628300}{100} - (\\frac{7870}{100})^2} ),latex(\\sqrt{\\frac{628300}{100} - 78.70^2} ),string(9.45 km/hr (upto 3 sig. fig))])),evaluation_expression(lhs([string(Mean speed)]),rhs([latex(\\frac{\sum fx}{\sum f}),latex(\\frac{7870}{100}),string(78.7 km/hr)]))]";
  129.         // const solutionHtml5 = parser.parseSolution(solutionString5, subparts5)
  130.         // document.getElementById('solution-content5').innerHTML = solutionHtml5
  131.  
  132. //      Concepts used : [subtraction_two_table,0]
  133. // Config_type : [subtraction_two_table]
  134. // Question_type : [two_table]
  135. // Qid : 1531709747
  136. // Options : [36.09104322382026,36.09104322382026,36.09104322382026,36.09104322382026]
  137. // Answer : 36.09104322382026
  138. // Answer_type : [numerical]
  139. // Question : q  = [[[10,22],32],[[22,34],42],[[34,46],12],[[46,58],1],[[58,70],34],[[70,82],39],[[82,94],40],[[94,106],27],[[106,118],15],[[118,130],2],[[130,142],22]], Find Std_dev of q
  140. // Hint : Sorry, no hint for you!
  141. // Solution : Std_dev of [[[10,22],32],[[22,34],42],[[34,46],12],[[46,58],1],[[58,70],34],[[70,82],39],[[82,94],40],[[94,106],27],[[106,118],15],[[118,130],2],[[130,142],22]] = 36.09104322382026
  142. // [[[10,22],32],16]
  143. // [[[22,34],42],28]
  144. // [[[34,46],12],40]
  145. // [[[46,58],1],52]
  146. // [[[58,70],34],64]
  147. // [[[70,82],39],76]
  148. // [[[82,94],40],88]
  149. // [[[94,106],27],100]
  150. // [[[106,118],15],112]
  151. // [[[118,130],2],124]
  152. // [[[130,142],22],136]
  153. // Mean = {summation(fx)}/{summation(f)}
  154. //  = 16*32 + 28*42 + 40*12 + 52*1 + 64*34 + 76*39 + 88*40 + 100*27 + 112*15 + 124*2 + 136*22/32 + 42 + 12 + 1 + 34 + 39 + 40 + 27 + 15 + 2 + 22
  155. //  = 18500/266
  156. //  = 69.54887218045113
  157. // [16,32,16*32,-53.54887218045113,2867.4817117982925,91759.41477754536]
  158. // [28,42,28*42,-41.54887218045113,1726.3087794674657,72504.96873763355]
  159. // [40,12,40*12,-29.548872180451127,873.1358471366385,10477.630165639663]
  160. // [52,1,52*1,-17.548872180451127,307.9629148058115,307.9629148058115]
  161. // [64,34,64*34,-5.548872180451127,30.789982474984445,1046.8594041494712]
  162. // [76,39,76*39,6.451127819548873,41.617050144157396,1623.0649556221383]
  163. // [88,40,88*40,18.451127819548873,340.44411781333037,13617.764712533213]
  164. // [100,27,100*27,30.451127819548873,927.2711854825033,25036.32200802759]
  165. // [112,15,112*15,42.45112781954887,1802.0982531516763,27031.473797275143]
  166. // [124,2,124*2,54.45112781954887,2964.9253208208493,5929.8506416416985]
  167. // [136,22,136*22,66.45112781954887,4415.752388490022,97146.55254678048]
  168. // [nil," {summation(f)} = 266","{summation(fx)} = [512,1176,480,52,2176,2964,3520,2700,1680,248,2992]",nil,nil,"{summation(sq(x-x_bar))} = 346481.8646616541"]
  169. // Standard deviation,S = {sqrt{summation(sq(f(x-x_bar)))/n}}
  170. //  = {sqrt(346481.8646616541/266)},
  171. //  = 36.09104322382026
  172. // Config : [inequality_group_data_freq_table(q,[[[10,22],32],[[22,34],42],[[34,46],12],[[46,58],1],[[58,70],34],[[70,82],39],[[82,94],40],[[94,106],27],[[106,118],15],[[118,130],2],[[130,142],22]])]
  173. // Qid : 643
  174. // Concepts_used : [["sd_with_inequality_freq_table",0]]
  175. // Config_type : ["standard_deviation_ungrouped_freq_table"]
  176. // Question_type : ["standard_deviation"]
  177.  
  178. // ----------------------
  179.     </script>
  180.     </body>
  181. </html>
  182.  
  183. <!-- numberline(xaxis(-5,5),inequality([[5>x>2],[5>=x>2],[5>x>=2],[5>=x>=2],[2<x<=5],[2<=x<=5],[2<x<5],[2<=x<5],[x<5],[x>2],[x<=5],[x>=2]])) -->
  184.  
  185.  
  186. <!-- // line(points(x,y), label(z),type(arrow,3)) -->
  187.  
  188. <!-- line(coordinates(point(value(0,2),label(string(X)),name(X)),point(name(Y),value(2,2),label(latex(x^2)))),type(dashed),label(latex(ax+y=c)),head(arrow),tail(hollow_point),ticks([tick(type(line),label(A)),tick(type(line),label(B)),tick(type(arrow),label(C))])) -->
Advertisement
Add Comment
Please, Sign In to add comment
Advertisement
Public Pastes
Advertisement
We use cookies for various purposes including analytics. By continuing to use Pastebin, you agree to our use of cookies as described in the Cookies Policy.  OK, I Understand
Not a member of Pastebin yet?
Sign Up, it unlocks many cool features!