Deanna is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. the shape of her satellite can be modeled by x^2=12y, where x and y are modeled in inches. she realizes that the static is a result of the feed antenna shifting slightly off the focus point. what is the focus point of the satellite? (–3, 0) (0, –3) (0, 3) (0, 4)

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

Asporting good store is offering 30 percent off of the original price(x) of football cleats. the discount will be reduced by an another $7 before sales tax.

Astraight water slide is 175 feet above ground and is 200 feet long. what is the angle of depression to the bottom of the slide?