A group of friends wants to go to the amusement park. They have no more than $205 to spend on parking and admission. Parking is $18.25, and tickets cost $12.50 per
person, including tax. Which inequality can be used to determine x, the maximum
number of people who can go to the amusement park?

205 ≥ 18.25 + 12.5x

Step-by-step explanation:

205 = maximum money

18.25 = parking

12.5x = cost per person where x is the number of people

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