The human resources manager at a company records the length, in hours, of one shift at work, x. he crests the probability distribution below. what is the probability that a worker chosen at random works at least 8 hours?

Hello!

The words at least means that the worker needs to work 8, 9 or 10 hours. We can add probabilities, so we will add .6 (for those working 8 hours), .15 (for those working 9 hours) and .08 (for those working 10 hours) to get a total probability of .83.
Hope this helps!

The value of x is equal to 1.6(x + 2) = 20x - 2

Distributive property.

6x + 12 = 20x - 2

Add 2 to both sides.

6x + 14 = 20x

Subtract 16x from both sides.

14 = 14x

Divide both sides by x.

x = 1