Suppose a car is traveling down the highway at a constant rate odt 60 miles per hour. It passes a police car at the side of the road. To catch up to the car, the police officer accelerates at a constant rate. The distance d (in miles) the poluce car has traveled as a function of time t (in hours) since the other car has passed it is given by d=3600t^2. Write and solve a system of equations to calculate how long it takes the police car to catch up to the other car.​

F(x)=|x| is shifted down 4 units and to the right 3 units.

In an experiment you are to flip a two sided coin 100 times and record 55 heads up and 45 tails up determine the theoretical and experimental probability of getting a heads up in the experiment.

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