What is the area of the shaded portion of the trapezoid in the figure, in terms of? The figure is not drawn to scale. All of the given measurements are in feet.

(150-36π) ft^2

Step-by-step explanation:

we need to subtract the area of the circle from the area of the trapezoid to find the area of the shaded region.

area of circle=πr^2=π6^2=36π ft^2

area of trapezoid=(1/2)(a+b)h=(1/2)(12+13)12=150 ft^2

so, the area of trapezoid-area of circle=(150-36π) ft^2

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560