Based on the distribution of the sample, which of the following are correct? (select all that apply.)
a. a z-test is appropriate since the sample standard deviation is given. since the data is almost normal, a t-test is appropriate.
b. a t-test is appropriate since the population standard deviation is given.
c. a z-test is appropriate since the sample size is smaller than 30.
d. a t-test is appropriate since the sample size is smaller than 30.
e. there are 15 degrees of freedom.
f. a t-test is appropriate since the population standard deviation is not known.
g. there are 16 degrees of freedom.

Two corresponding sides of two similar triangles are 3cm and 5cm. the area of the first triangle is 12cm2. what is the area of the second triangle?

Which number can each term of the equation be multiplied by to eliminate the decimals before solving? 5.6j- 0.12=4+1.1j

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