In a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment. When considering what percentage of heads of household both own their home
and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60)
(0.80) = 0.48. Is this student correct in his approach?
Yes, these two events are most likely independent, so the joint probability can be found by multiplying the individual
probabilities.
No, because although two probabilities should be multiplied, it should not be these two probabilities. This is because
the two events are likely not independent
No, these two events are most likely not independent, so the joint probability cannot be found by multiplying the
individual probabilities. They should be added instead.
Yes, the joint probability can always be found by multiplying the individual probabilities.

Time (minutes) amount of water (gallons) practice 1. jin fills up a 510-gallon pool in the backyard for her children. she fills it with the garden hose at a rate of 17 gallons per minute. after it is filled, she lets it sit for 30 minutes in order to let the water temperature rise. the children then get in and have fun for an hour. the pool loses about 5 gallon of water each minute due to their splashing and playing. at the end of the hour, they tear the pool while getting out, which causes a leak the pool then begins to lose water at a rate of 2 gallons per minute. a. complete the table to show the amount of water in the pool after each minute. b. create a graph to model the problem situation. include when the pool will be empty. c. write a piecewise function that models this problem situation. explain your reasoning for each piece of the function. d. identify the x- and y-intercept. explain what they mean in terms of the problem situation, atamantha a cul 80 100 120 150 200 ning, inc