Let A be a mxn matrix such that Ax=b and Ax=c each have a solution for some choice of b and c in R^m. If d=b+c, is the equation Ax=d also consistent? Let A be a 5x4 matrik. Explain why the equation Ax b cannót be consistent for all b in R.

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

60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums. what is the probability that the applicant who gets the job plays drums or guitar?

This graph shows which inequality? a ≤ –3 a > –3 a ≥ –3 a < –3