In a choir there are 27 men and 60 women. 4
The probability that a man chosen at random wears glasses is
9
7
The probability that a woman chosen at random wears glasses is
12
a) Work out the number of people in the choir who wear glasses.
Your final line should say, Total = ...
b) A person is chosen at random from the choir.
Work out the probability that the person does not wear glasses.

The scatter plot shows the number of animal cells clara examined in a laboratory in different months: plot ordered pairs 1, 20 and 2, 60 and 3,100 and 4, 140 and 5, 180 what is the approximate predicted number of animal cells clara examined in the 9th month?

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

What is the product of (4x + - 5)? a) -8x^2 - 26x - 15 b) -8x^2 + 26x - 15 c) -8x^2 - 26x + 15