Arental car company offers two rental plans, plan a and plan b, for the same economy size car. for both plans, the total rental cost, ƒ(m) is a function of the number of miles, m, that the car is driven. in addition to a flat fee of $75, plan a offers a rate of $0.20 per mile for an unlimited number of miles. plan b offers a higher mileage rate of $0.35 per mile but does not charge a flat fee for the rental. create a system of linear functions modeling the cost of the car rental plans, a and b, as a function of the miles driven. for how many miles, m, will the rental fee be the same under both plans a and b?

5.5

step-by-step explanation:

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