The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.83, the probability that a car brought into the shop requires brake repair is 0.17, and the probability that a car requires both an oil change and brake repair is 0.15. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair.

0.85

Step-by-step explanation:

Given two events A and B, the probability that either A or B occurs is given by:

where

the probability that A occurs

is the probability that B occurs

is the probability that both A and B occur at the  same time

In this problem, we know the following facts:

is the probability that the car requires an oil change

is the probability that the car requires a brake repair

is the probability that the car requires both an oil change and brake repair

Therefore, the probability that either o (car requiring oil change) or b (car requiring brake repait) occur is:

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).