The function p\left(x\right)=5x+10 p ( x ) = 5 x + 10 represents the total cost in dollars, p\left(x\right) p ( x ) , of buying x x paperback books from an online book club. (a) identify the linear term and give a possible interpretation of its meaning. (b) identify the constant term and give a possible interpretation of its meaning. (c) state the cost of ordering 12 paperback books from the book club. (d) determine the number of paperback books someone can order if spending no more than $50.

! 30 points

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)?