Aurelia makes and sells ceramic cups and plates. It takes her 10 minutes to make a cup and 20 minutes to make a plate. Each cup uses 3 pounds of clay and each plate uses 2 pounds of clay. She has 160 minutes available for making the cups and plates and has 20 pounds of clay on hand.

If she makes a profit of $2 on each cup and $3 on each plate, how many cups and plates should she make to maximize her profit.

5. (03.02)if g(x) = x2 + 3, find g(4). (2 points)1619811

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.

Jared had 3/7 of the minutes on a family phone plan remaining for the month. the plan is shared by 2 people. if divided equally what portion of the minutes remaining on the phone plan would be avalible for each person