Find the solution to the linear system of differential equations {x′y′==8x−15y6x−11y { x ′ = 8x−15y y ′ = 6x−11y satisfying the initial conditions x(0)=9 x ( 0 ) = 9 and y(0)=5 y ( 0 ) = 5 .

Which equation requires the division property of equality to be solved?

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

If p(a) = 0.70 and p(b) = 0.20, then a and b are independent events if