At competing grocery stores, bananas are 80 cents a pound at the first store and 85 cents a pound at the second store. Apples are 3 dollars a pound at the first store and 2.50 dollars a pound at the second store. Suppose you buy x pounds of bananas and y pounds of apples at each store. You end up spending 10 dollars at the first store and 12 dollars at the second store.

Which system of equations represents the amount of money you spend on bananas and apples at each store?

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)?