A corporation has seven available positions YI, Y2, ... , Y7 and there are ten applicants Xl, X2, . .. , XIO. The set of positions each applicant is qualified for is given, respectively, by {YI, Y2, Y6}, {Y2, Y6, Y7}, {Y3, Y4}, {Yl, Y5}, {Y6, Y7}, {Y3}, {Y2, Y3}, {YI, Y3}, {yd, {Y5}. Determine the largest number of positions that can be filled by the qualified applicants and justify your answer

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

Anew test for ra is being developed. the test is administered to 750 patients with ra and 750 without ra. for the sake of the question, assume the prevalence of ra in this population is 50%. of the 750 patients with ra, 575 have a positive result. of the 750 patients without ra, 150 have a positive result. what is the positive predictive value of the new test? a575/(575+150) b. 600/(600+ 150) c. 575/(575+125) d. 600/(600+ 125)

Use the linear combination method to solve the system of equations. explain each step of your solution. if steps are not explained, you will not receive credit for that step. 2 + 9 = −26 −3 − 7 = 13