Ms. Morris asked her students to each pick one or more of the following 4 numbers, all powers of 3:1,3,9,27and write the sum of the chosen numbers on a piece of paper. Students must not talk to each other about their choices. She then collected all papers, and wrote them down on the whiteboard, but no number would be written more than once. The class “won” the game if there were N numbers written down, where N was the greatest possible such numbers. What was the valueof N that Ms. Morris had in mind?

The equation x2 – 1x – 90 = 0 has solutions {a, b}. what is a + b?

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

Liz is shipping a package to her friend. the maximum weight of a medium flat-rate box is 20 pounds, including the box which weighs 6 ounces. write and solve an inequality to describe the possible weight in pounds, w, of the contents that liz will ship to her friend if she must use a medium flat-rate box. use the drop-down menus to explain your answer.