Apeanut manufacturing company pays $0.01 per square inch of label used on its cylindrical peanut containers. each container has a radius of 1.5 inches and a height of 3 inches. if the label covers the lateral area of the container, how much would it cost to produce 400,000 labels?

Lateral area of a cylinder A is :

A = 2 π r h

We use this formula to find area of one label

π = 3.14, r = 1.5 inches and h = 3 inches.

A = 3.14 ×1.5×3

A= 14.13 inch²

1 inch²  =  0.01 $

Therefore 14.13 inch² = 14.13 × 0.01 = 0.14 $

Each label will cost 0.14 $

400,000 labels will cost:

 400, 000 × 0.14 = 56,000

Therefore it would cost 56,000 $ to produce  400,000 labels

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0