Decide whether or not each equation represents a proportional relationship. Volume measured in cups (c) vs. the same volume measured in ounces (z): c=18z Area of a square (A) vs. the side length of the square (s): A=s2 Perimeter of an equilateral triangle (P) vs. the side length of the triangle (s): 3s=P Length (L) vs. width (w) for a rectangle whose area is 60 square units: L=60w

Aculture started with 3000 bacteria. after 5 hours it grew to 3900 bacteria. predict how many bacteria will be present after 9 hours

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?

Corresponding angles are a. always b. sometimes c. never congruent