6 6. Which statement below is represented by the correct ratio? Choose all that apply.
A "For every 7 cars I see in the parking lot, there are 4 buses.* The ratio of cars to buses is written as
B. For every 2 cups of four, I add 4 cups of sugar. The ratio of four to sugar is written as 12.
c. There are 4 monkeys at the sea for every 1 tiger." The ratio of monkeys her tigers is written as 4:1
D. have 4 red beads for every 6 green beats on my bracelet. The ratio of red beads to green beads

Peter measures the angles in a triangle. he finds that the angles are 95, 10 and 75. is he correct? explain your answer

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.

The mass of a marine organism, in pounds, p years after it is born is given by the polynomial function r(p) = -4p2 + 300p. find the mass when p = 20 years.