Compliment questions
round all answers to the nearest 100th of a percent

1. the probability of passing a math this semester is 64%. what is the probability of not passing a math class this semester?

2. the probability of winning the lottery is 0.0024%. what is the probability of not winning the lottery?

Step-by-step explanation:

Two mutually exclusive events that cover all possible events have a combined probability of 1.

1. If there is no middle ground—you either pass math or you don't—then the probability of not passing math this semester is 100% - 64% = 36%.

__

2. If there is no middle ground—you either win the lottery or you don't—then the probability of not winning the lottery is 100% - 0.0024% = 99.9976%.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x