A curve is describe by the following parametric equations:
x=3+t, y=t^2-4
Which statement best describes the curve?
A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.
B. The curve is a parabola with a vertex at (3,-4) and is traced from right to left for increasing values of t.
C. The curve is a parabola with a vertex at (-3,4) and is traced from left to right for increasing values of t.
D. The curve is a parabola with a vertex at (-3,4) and is traced from right to left for increasing values of t.

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?