Problem 1:

The height of water in a bathtub, w, is a function of time, t. Let P represent this function. Height

is measured in inches and time in minutes.

Match each statement in function notation with a description.

A: P (0)=0

1: After 20 minutes, the bathtub is empty.

B:P (4)= 10

2: The bathtub starts out with no water.

C:P (10) = 4

3: After 10 minutes, the height of the water is 4 inches.

D: P (20) = 0

4: The height of the water is 10 inches after 4 minutes.

You download a video game to your computer. you have a 60-minute free trial of the game. it takes 5 1/6 minutes to set up the game 7 1/3 minutes to play each level. you want to find out how many levels you can play for free.which inequality describes the number of levels, l, you can play in 60 minutes? can you play 6 levels during your free trial? i need ,

Part a: sam rented a boat at $225 for 2 days. if he rents the same boat for 5 days, he has to pay a total rent of $480. write an equation in the standard form to represent the total rent (y) that sam has to pay for renting the boat for x days. (4 points)

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)