On the planet Zog, the lottery has a different set of rules to the ones us mortals are accustomed to on Earth. Each alien can choose 8 distinct numbers from a choice of 60, and each week 12 numbers are drawn without replacement live on ZogTV to give an unordered set of winning numbers. Aliens who have chosen all of their 8 numbers correctly get a tier 1 prize, aliens who have chosen 7 numbers correctly get a tier 2 prize and so on, until aliens who have chosen only one number correctly receive a tier 8 prize. Let Pk be the probability of winning a tier k prize once you have chosen your numbers. Find a general formula for Pk in terms of k.

Use this graph to find the cost of 6 show tickets

Which statement best describes how to determine whether f(x) = x squared- x +8 is an even function ?

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