A cliff diver jumps from a ledge 48 feet above the ocean with an initial upward velocity of 8 feet per second. The distance the cliff diver is from the ocean surface in terms of elapsed time can be modeled by the formula d = –16t2 + 8t + 48. When will the diver be 24 feet from the water?

How long will it take until the diver enters the water?

Explain how to find the roots and give the values.

What is the Vertex?

Explain how to find the Axis of Symmetry using your answer from the vertex.

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?