6.The initial dry weight of Botryococcus braunii, a green microalgea, is 50 mg/L. Under the right conditions of light, temperature, salinity and pH, the algea triples every three hours for the first 15 hours of growth. 1.Determine the rule, domain, and range of the function model.

2.Graph the function model

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?