Madison ran at a uniform speed for 50 minutes. She covered 9 kilometers during that period of time. (a) Find her speed in meters per second. (b) If she reduced her speed by 1 meter per second, how long would she take to cover the same distance?

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

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show