Bacteria in a culture are growing exponentially with time, as shown in the table below. Which of the following equations expresses the number of bacteria, y, present at any time, t ?

A. y= 100 + 2^t
B. y=(100) • (2)^t
C. y= 2^t
D. y=(200) • (2)^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?