20 points > > > > the rent for an apartment is represented by r(a) = 2.00a + 50.00, where a is the area of the apartment in square feet. the rent increases by $50.00 when the apartment is furnished. identify the new function s(a) for the rent of a furnished apartment and the transformation that has been applied. a) s(a) = 52.00a + 50.00; shift 50 units up b) s(a) = 2.00a + 100.00; shift 50 units down c) s(a) = 52.00a + 50.00; shift 50 units down d) s(a) = 2.00a + 100.00; shift 50 units up

In the coordinate plan (-6,9) b (3,9) c (3,3) def is shown in the coordinate plan below

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

The weight of full–grown tomatoes at a farm is modeled by a normal distribution with a standard deviation of 18.4 grams. the 95 percent confidence interval for the mean weight of the tomatoes is calculated using a sample of 100 tomatoes. what is the margin of error (half the width of the confidence interval)?