Which of the following situations is best represented by a linear
function?
A. The amount Jeremy tips at a
restaurant is a function of the
total bill. He tips 15% of the
total bill.
B. The area of a square
is a
function of the length of the
side of the
square.
C. The distance a ball travels
after being dropped is a
function of acceleration and
time. The distance is one-half
of the acceleration multiplied
by the square of the time.
D. The length of the side of a
rectangle with an area of 48 is
a function of the width of the
rectangle

Handsome jack is buying a pony made of diamonds. the price of the pony is p dollars, and jack also has to pay a 25% diamond pony tax. which of the following expressions could represent how much jack pays in total for the pony?

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?