At first an athlete jogs at 4 miles per hour and then jogs at 8 miles per hour, traveling 10 miles in 1.5 hours. how long does the athlete jog at each speed? (hint: let t represent the amount of time the athlete jogs at 4 mph. then 1.5 minus t represents the amount of time the athlete jogs at 8 mph.)

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 diagonals of a quadrilaretral intersect at (-1,4). one of the sides of the quadrilateral is bounded by (2,7) and (-3,5) determine the coordinates of the other side in order for the quadrilaretral to be a square.

Finding tbe values of the variables in each kite