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the volume of an open rectangular box with a square base is 32 cubic inches. find the dimensions of the box with minimum surface area.
What is the probability that a randomly selected individual from this population earns less than $60,000 per year? If a randomly selected individual is observed to earn less than $60,000 per year, what is the probability that this person is a man?
a company's total cost in millions of dollars,is given by c(t)=280-30e^-t where t= time in years, find the marginal cost when t=3
if the measure of an angle is -2x2+19x, and the measure of it's supplement is 4x2-6, find measure of the angle and its supplement.
Suppose that each of the players has a defined strength (all different), and the strongest player wins each match. then is it clear that the first prize goes to the strongest of all the players. what is the probability that the second prize goes t..
A surveyor is 305 ft from the base of the new courthouse. Her angle-measuring device is 5 ft above the ground. The angle of elevation to the top of the courthouse is 42º. Find the height of the courthouse to the nearest foot.
Show that if R is a ring with identity element and x is an element in R, then Rx = {rx: r in R} is the principal left ideal generated by x. Similarly,
Suppose K is a conjugacy class of S_n (the symmetric group), with K consisting of even permutations. Suppose that x in K. Show that K splits into two conjugacy classes
The correlation between Age Score and External is more significant than the correlation between Age Score and Competence. True or False?
Find the marginal pmfs of X and Y, explore if X and Y are independent and find the conditional pmf of Y given that 3 eggs among the six selected are cracked. What is the probability that X 1?
Linear Regression features to find the equation for V.
Consider the k-out-of-n system (info on the system: A system consists of n independent components. Each component functions with probability p
Suppose that you flip a coin 10 times. What is the probability that you achieve at least 6 tails?
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