Francisco is at the arcade and can buy a token for $2 that gives him the choice of playing either Smack the Mole or Motorcycle Chasers. Smack the Mole: He plays 3 rounds, and for each round he has a 30%, percent chance of smacking the mole. If he smacks the mole in all 3 rounds, he will win a stuffed bear worth $50 dollar sign. Motorcycle Chasers: He will participate in 4 races, and for each race he has an 80%, percent chance of winning the race. If he wins all 4 races, he will win a replica motorcycle worth $70 dollar sign.

Which answer goes into the box? (90° clockwise rotation, 90° counter clockwise rotation, translation, or glide reflection)

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

The weather forecaster says that there is a 51% chance of rain today. which statement describes the likelihood that it will rain today?