Nathan buys a variety of ingredients for a trail mix. He spends less than $16 on 3 1/2 pounds of one ingredient and half as many pounds of the most expensive ingredient. He buys 2 1/3 pounds of another ingredient that costs a total of $7 and 2 pounds of the final item. How much does he buy of each item?

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