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Use Problem 15 of this section to show that in n independent trials with probability p of success,
Problem 15
Draw a graph of the equation y = x(1 - x) for x between 0 and 1. What is the maximum value of y? Why does this show that the variance (see Problem 10 in this section) of the "number of successes" random variable for n independent trials is less than or equal to n/4?
nicomachus defined a subcontrary proportion which occurs when in three terms the greatest is to the smallest as the
Suppose that he must add the same number of bags to each side. How many bags must he add to each side in order to balance the scale?
Write the iterated integral of a function f. the triangle with vertices at point (1,1,) , (1,2), (3,0). First find the equations of the three lines representing the sides of the triangle
If the width is doubled, fifty extra feet of fencing will be need to keep out the creatures. What are the dimensions of the original garden?
Calculate the probability that a randomly selected car is new. Further, verify the results by comparing the conditional probability directly.
3. From the 12 male and 9 female sales representatives for an insurance company, a team of 3 men and 4 women will be selected to attend a national conference on insurance fraud.
How many members of the club plan to attend
Water flows from a tank of constant cross-sectional area 60 ft2 through an orifice. How fast was the height of the water decreasing when its height was 9 ft?
Find a real-world application of a linear equation and discuss the meaning of the equation. Then explain how the values of the slope affect the overall meaning of the equation.
Jack and Jill decide to have a four-lap race (i.e. 4 m meters) with each runner agreeing to run only in his/her lane. If Jack runs in lane two, how far ahead of jill should be begin if the finish line is jill's starting point?
Determine the following values
Identify the decision variables, objective function, and constraints in simple verbal statements.
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