The time, T, that a manufacturing system is out of operation has cumulative distribution function 2 2 1 ,2 ( ) 0, otherwise. t F t t     − >   =      The resulting cost to the company is 2 Y T = . Let g be the density function for Y. Determine g(y), for y > 4.

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If f(x) =3x-2 and g(x) =2x+1 fins (f+ g) (x)

Atriangle has an area of 72 square inches. if the base of the triangle has a length of 18 inches, what is the height of the triangle? use the formula for the area of a triangle: area = (base)(height) type a numerical answer in the space provided. do not include the units or spaces in your answer.