Laura is a chemist working with liquids and solutions. she has two large cylindrical barrels that can hold up to 2,000 liters each. the first barrel contains 900 liters of solution, and the second barrel contains 100 liters of solution. laura begins draining the first barrel at a rate of 36 liters per minute at the same time she begins filling the second barrel. laura fills the second barrel with 44 liters of solution every minute. which inequality represents the seconds, s, when the second barrel contains a greater or equal amount of solution than the first barrel?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.