There is growing concern over a possible causal link between consumption of diet soda and obesity. in 2013, gallup surveyed a nationally representative sample of 2027 adults about their soda consumption. in the sample, 921 adults described themselves as overweight, and 295 of them said that they mostly drank diet soda. based on these results, what is a 95% confidence interval for the proportion p of overweight american adults who mostly drink diet soda?

Simplify the expression. -2/5(10+15m-20n)

Prove that 16^4-2^13-4^5 is divisible by 11.

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