Acommunity park is shaped like a trapezoid with a height of 30 yd, a top base of 25yd, and a bottom base of 33yd. the park has a circular fountain whose radius is 4yd. what is the area of the park without the fountain?

819.73 yd²

Step-by-step explanation:

                       =

                       =

                       = 29 * 30

                       = 870

                  = π(4)²

                  = 16π

                  ≈ 50.27

Area of the park =

 = 870 - 50.27

= 819.73

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

using pemdas, (order of operations) you'll see the answer is 24.