A company has developed a new video game console. After completing cost analysis and demand forecasts, the company has determined that the profit function for the new console is f(g)=250gover2+70,000g−4,570,000 where g is the number of consoles sold. What is the domain of the profit function?

Three coins are flipped. what is the probability that there will be at least two tails?

The perimeter of a stage is 116 feet. it is 17 feet wide. how long is it?

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