Find the minimum value of the objective function C = 10x +5 y subject to the following constraints: *20, y = 0, 4x + y 2 180, X+ y 2 90, 10x + 5y = 800

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

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

What is the correlation coefficient between the variables? round to three decimal places. enter your answer in the box