The graph shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3 and 7, 0. Shade the portion of the graph below the line in the first and fourth quadrants.

Which of the following inequalities is modeled by the graph?

2x + 5y ≥ 14; x ≥ 0
2x + 5y ≤ 14; x ≥ 0
2x − 5y ≤ 14; x ≥ 0
−2x − 5y ≤ 14; x ≥ 0

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

65% of students in your school participate in at least one after school activity. if there are 980 students in you school, how many do not participate in an after school activity?

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