At a drug rehab center 38% experience depression and 31% experience weight gain. 17% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to
four decimal places where possible.)
a. experiences neither depression nor weight gain.
b. experiences depression given that the patient experiences weight gain.
(round to 4
C. experiences weight gain given that the patient experiences depression.
decimal places)
d. Are depression and weight gain mutually exclusive?
O no
yes
e. Are depression and weight gain independent?
yes
no

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.