Erica works in a soda-bottling factory. As bottles pass her on a conveyor belt, she puts caps on them. Unfortunately, Erica sometimes breaks a bottle before she can cap it. She gets paid 4¢ for each bottle she successfully caps, but her boss deducts 2¢ from her pay for each bottle she breaks. Erica is having a bad morning. Fifteen bottles have come her way, but she has been breaking some and has only earned 6¢ so far today. How many bottles has Erica capped and how many has she broken

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

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

What is the distance from zero if a quadratic function has a line of symmetry at x=-3 and a zero at 4