Let X be a continuous random variable on a ? x ? b with probability density function f(x). Then the median of the x-values is that number m for which .Find the median.f(x) = ; 2 ? x ? 10

A. 6
B.
C. 8
D. 2


Answer: A

Mathematics

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The function f is one-to-one. Find its inverse.f(x) = (x + 2)3 - 8.

A. f-1(x) = 
B. f-1(x) =  - 2
C. f-1(x) =  + 8
D. f-1(x) = 

Mathematics

Solve the linear programming problem.Maximize and minimize z = 13x - 17y subject to:x ? 0,y ? 0,4x + 5y ? 30,4x + 3y ? 20,x ? 5,y ? 8.

A. maximum: -68.75; minimum: -102 B. maximum: -102; minimum: 0 C. maximum: 65; minimum: 0 D. maximum: 65; minimum: -102

Mathematics

Solve the problem. Assume that simple interest is being calculated in each case. Round to the nearest cent.Annie's cafe borrows $5,500 at 6% for 140 days. Find the total amount that must be repaid after 140 days.

A. $6,765.75 B. $5,626.58 C. $5,512.66 D. $5,830.00

Mathematics

Factor completely. If the polynomial cannot be factored, write "prime."x2 + 8x + 15

A. (x - 5)(x - 3) B. (x + 15)(x - 1) C. (x + 15)(x + 8) D. (x + 5)(x + 3)

Mathematics