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A marketing expert for MTV is planning a survey in which 500 people will be randomly selected from each age group of 10-19, 20-29, and so on. What type of sampling technique is being used?
Let gamma be a closed rectifiable curve in C (Complex plane) and a is not an element of {gamma}. Show that for n>= 2 integral over gamma of (z-a)^-n dz = 0.
A hot-air balloon exerts a 1200-lb pull on a tether line at 45 degree angle with the horizontal. Resolve the vector B into components.
How many 3-letter code words are possible using the first 10 letters of the alphabet if a) no letter can repeated, b) letters can be repeated, c) adjacent letters cannot be the same?
Find the probability that Clair will win the third game in the next series of games palyed against Helen.
A colony of bacteria grows according to the law of uninhibited growth. If 100 grams of bacteria are present initially, and 250 grams are present after two hours, how many will be present after 4 hours? Note: Do not round the value of k.
Evaluate the width of the lake and Show your method of solution. You may use geometric vector
Calculating the probability values
What is the maximum possible area of a rectangle inscribed in the ellipse x2 + 4y2 = 4 with the sides of the rectangle parallel to the coordinate axes?
Probability : Bayes' Theorem, In a survey, it is found that 10 boys out of hundred are in favor of selecting their life partners themselves without any interference by their parents. Where as only 20 girls out of 500 hold this view.
A lamina with constant density p occupies the region under y = sinx, where x is between 0 and pi. Find the moments of inertia Ix and Iy and and the radii of gyration x and y.
Sarah, Jolly and Betty are female triplets. They and their 10 cousins are posing for a series of photographs. One pose involves all 13 children. How many ways can the 7 boys and 6 girls be arranged in one row under each of the following conditions..
the dimensions of a rectangle are such that its length is 3 in more than its width. if the length were doubled and if the width were increased by 1 in, the area would be increased by 104 in what are the length and width of the rectangle?
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