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A student represents his scores in Mathematics . Statistics and Economics in a pie- chart. The central angle for Mathematics is 120^(@) . He scored 96 in Statistics and 84 in Economics. The central angle for Statistics is :

For 50 students of a class, the regression equation of marks in Statistics(X) on the marks in accountancy(Y) is 3y-5x+180 =0 .The mean marks in accountancy is 44 and the variance of marks in Statistics is (9/16)th of variance of marks in Accountancy .Find the mean marks in Statistics and the correlation coefficient between the marks of the two subjects.

In a class of 110 students, x students take both Mathematics and Statistics, 2x+20 students take Mathematics and 2x+30 students tak statistics . There are no students who take neither Mathematics nor Statistics . What is x equal to ?

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