Question 1: Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1400 fish. Absent constraints, the population would grow by 240% per year.

If the starting population is given byp0 = 100, then after one breeding season the population of the pond is given by

p1 =

After two breeding seasons the population of the pond is given by

p2=

Question 2: A 6 inch personal pizza has 610 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.

Round your answer to the nearest calorie.

Question 3: It takes a hose 3 minutes to fill a rectangular aquarium 9 inches long, 10 inches wide, and 13 inches tall. How long will it take the same hose to fill an aquarium measuring 21 inches by 29 inches by 31 inches?

Round your answer to the nearest minute

Question 4: Mark Watney states that the "light energy" on mars is between 500 and 700wattsper square meter. Using an estimated 15% efficiency and 28 square meters of solar cells (his traveling solar array), how many kilowatt hours of energy will be generated by the panels each day if there are 12 hours of light? Use an average of 600wattsper square meter in your calculation and round to the nearest tenth of akilowatt hour.

Question 5: Find the 5 number summary for the data shown

7, 22, 25, 28, 44, 45, 76, 77, 83, 84, 93, 95, 96, 98

5 number summary:

Question 6: The physical plant at the main campus of a large state university receives daily requests to replace florescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 60 and a standard deviation of 6. Using the 68-95-99.7 rule, what is the approximate percentage of light bulb replacement requests numbering between 60 and 72?

(Round your answer to the nearest hundredth if needed.)

Question 7: A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 60 months and a standard deviation of 6 months. Using the 68-95-99.7 rule, what is the approximate percentage of cars that remain in service between 66 and 78 months?

Do not enter the percent symbol.

Question 8: Skyler buys a bag of cookies that contains 5 chocolate chip cookies, 9 peanut butter cookies, 9 sugar cookies and 6 oatmeal cookies. Find the probablility of randomly selecting cookies in the following situation.

What is the probability that Skyler reaches in the bag and randomly selects an oatmeal cookie from the bag, then after eating it, reaches back in the bag and randomly selects a sugar cookie?

Give your answer as a fraction, or accurate to at least 4 decimal places.

Question 9: A certain disease has an incidence rate of 0.5%. If the false negative rate is 7% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease. (Hint: Complete the table choosing a "large" population to start.) Write the answer as a decimal accurate to at least 3 decimal places, not as a percent.