(inventory management) the daily demand for lemonade has a triangle density as follows: the demand is 0 outside of [40,60]; the density increases linearly (starting from 0) between 40 and 50 cups, and then decreases linearly between 50 and 60 (back to 0). the profit for lemonade is $1 per cup, and the cost to get rid of excess lemonade is 20 cents per cup. a. what is the optimal amount of lemonade to prepare at the beginning of the day? b. what is the standard deviation of the demand?

Do more republicans (group a) than democrats (group b) favor a bill to make it easier for someone to own a firearm? two hundred republicans and two hundred democrats were asked if they favored a bill that made it easier for someone to own a firearm. how would we write the alternative hypothesis?

Powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. a group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the united states. of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. if the p-value turns out to be 0.035 (which is not the real value in this data set), then at = 0.05, you should fail to reject h0. at = 0.04, you should reject h0. at = 0.03, you should reject h0. none of these would be a correct statement.

Is the point (0, 8) on the x-axis or y-axis? how do you know?