"if one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age or that they drink root beer."

the picture in the attached figure

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

P=size of the event space/size of the sample space

step 1

find the probability that the person is over 40 years

size of the sample size=255

size of the event space=85

P=85/255------> P=1/3

step 2

find the probability that they drink root beer

size of the sample size=255

size of the event space=75

P=75/255------> P=5/17

step 3

find the probability that the person is over 40 years of age or that they drink root beer

so

P=(1/3)+(5/17)-----> P=(17*1+3*5)/51------> P=32/51-----> 0.6275----> 62.75%

therefore

the answer is

32/51 or 62.75%

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: