Testing for a disease can be made more efficient by combining samples. if the samples from three people are combined and the mixture tests negative, then all three samples are negative. on the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. assuming the probability of a single sample testing positive is 0.2, find the probability of a positive result for three samples combined into one mixture. is the probability low enough so that further testing of the individual samples is rarely necessary?

You so much whoever answers with accuracy •the parent function of the graph of f(x) is the square root function, which was reflected across the x-axis. which of the following is the equation of f(x)?

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0

Would greatly appreciate these 3 answers