A hardware store will cut lumber any length between 5 and 20 feet. Say X is the length of lumber requested by a customer. Then X is a uniform random variable with probability density function   Find E(X) and Var(X).Enter just two reduced fractions (unlabeled) in the order E(X), Var(X) separated by a comma.

Fill in the blank(s) with the appropriate word(s).


25/2, 75/4

Mathematics

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Identify the system as consistent or inconsistent, and dependent or independent.  x + 6y = 292x + 12y = 58

A. Consistent and independent B. Consistent and dependent C. Inconsistent and dependent D. Inconsistent and independent

Mathematics

For the given pair of points, find the equation of the line  that goes through the points by solving a system of equations.(-2, -3) and (6, 5)

A. y = x - 3 B. y = x - 1 C. y = -2x - 1 D. y = x - 5

Mathematics

Solve.The function A = A0e-0.00693x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 400 pounds of the material are initially put into the vault, how many pounds will be left after 150 years?

A. 133 lb B. 300 lb C. 252 lb D. 141 lb

Mathematics

Use the power rules for exponents to simplify. Write the answer in exponential form.(-5x2y3)2

A. -5x4y5 B. 25x4y5 C. 25x4y6 D. -5x4y6

Mathematics