A blindfolded contestant makes a random selection from a bag that contains white, red, green, and yellow marbles at a carnival
booth. The bag contains 12 marbles in total. Use the following
clues to determine how many marbles of each color are in
the bag.
=
Clue 1: P(white) + Plyellow) = P(green)
Clue 2: Of 40 players, 10 are expected to select a white marble.
Clue 3: If 2 green marbles are removed from the bag, then P(red) = 5
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1. How many white marbles are in the bag? Explain.

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