The company claims that 52% (p = 0.52) of the Reese’s pieces are orange. One student took a sample of 30 and got 12 orange candies ( 40 . 0 ˆ  p ). Assume the company’s claim is true. 6. Let p ˆ = the proportion of orange candies in a sample of 30.

a. Calculate the mean and standard deviation of the sampling distribution of p ˆ.
b. Interpret the standard deviation in context.
c. What is the shape of the sampling distribution of p ˆ. Justify.
d. What is the probability that a sample of 30 Reese’s pieces would have a sample proportion, p ˆ, of 0.40 or less orange candies? Show work.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

throw the computer

step-by-step explanation: