on a sunny day a goal post casts a 75 feet shadow. a 6 1/2 feet tall ball player standing next to the goal post has a shadow 19 1/2 ft. long how tall is the goal post

62 Ft

Step-by-step explanation:

The shadow adds 13ft

How we know- 19 1/2 - 6 1/2 = 13 ft

So we need to take away 13ft to find out the goal post actual height

75-13= 62

figure c

step-by-step explanation:

hope this .

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