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Select and discuss two examples of real life objects that incorporate the parabolic shape. Explain why the parabolic shape was used for the objects.
When the temperture stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 70 cubic inches of gas at a pressure of 14 pounds per square inch
Write a recursice algorithm to find x^n mod m whenever n,x and m are positive integers based on the fact that : x^n mod m = (x^(x-1) mod m * x mod m)mod m
Suppose that derivative of the function f is given by f'(x) = 3x and suppose that the point (4,2) is on the graph of f. Write an equation of a line tangent to the graph of f at the point (4,2)
Prove that the subgroup of A4 generated by any element of order 2 and and any element of order 3 is all of A4. Prove that if x and y are distinct 3-cycles in S4 with x != y^-1 (x not equal to the inverse of y), then the subgroup of S4 generated by x..
An elevator has 4 passengers and 8 floors. Find the probability that no 2 passengers get off on the same floor considering that it is equally likely that a person will get off at any floor
Independent events based probability. A company operates a telephone order system for a catalogue of its outdoor clothing products. The catalogue orders are processed in three stages. In the first stage, the telephone operator enters the order int..
Trigonometric function to estimate the exact value.
Random Variables : Continuous R.V., Exponenetial, R.V, Mean and Variance, 3) Let X be a continuous random variable with probability density function
Read the Nature article, Sustainable Trophy Hunting of African Lions and discuss any challenges in the analysis. Can you think of another ways to do the regression analysis?
Using one of the tests for convergence (comparison, limit, integral, nth term, etc.), show whether the following series converges or diverges:
Probability of Defective Resistors: DeMoivre-Laplace Theorem, A manufacturer of electronic equipment buys 900 resistors for which the probability of any single resistor being defective is p = 0.01.
What is the probability that a California adult is an internet user, given that he or she is a college graduate? Round your answer to 2 decimal places.
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