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1. Explain how the pigeon-hole principle can be used to show that among any 11 integers, at least two must have the same last digit.
Use residues to evaluate the improper integral from 0 to infinity: Use Jordan's Inequality to evaluate the improper integral from -infinity to infinity:
A box with its base in the xy-plane has its four upper vertices on the surface with equation z=48-3x^2-4y^2. What is the maximum possible volume.
Identical twins must be the same sex, but the sexes of fraternal twins are independent. Find What is the probability of fraternal twins
From a total of 15 people, three committees consisting of 3, 4, and 5 people, respectively, are to be chosen. How many such sets of committees are possible if there is no restriction on the number of committees on which a person may serve?
Probability : Combinations, Mr james just won 6 tickets for each of 2 consecutive Giants home football games. For the first game, Mrs James will not be able to attend so he has 5 extra tickets.
Multiple regression equation
Calculating the probability from a given situation using combinations. A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random.
Given three points, there is one line that can be drawn through them if the points are colinear. If the three points are noncolinear,there are three lines that can be drawn through pairs of points.
Make an interval estimate of the mean so that you are 90 percent confidant that the true mean is in your interval.
Compute the inverse of matrix A below, and use this to express A as a product of elementary matrices
Find the derivative of the given function by using chain rule of differentiation.
problem on percetanges
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