Part a)
The simple random sample of size n=36 is obtained from a population with

and

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.
Therefore the sampling distribution has a mean of

The standard error of the means becomes the standard deviation of the sampling distribution.

Part b) We want to find

We need to convert to z-score.

Part c)
We want to find

We convert to z-score and use the normal distribution table to find the corresponding area.

Part d)
We want to find :

We convert to z-scores and again use the standard normal distribution table.

1. Translate words into equation :
Brian= b
Natasha =n
N+3n=88 (because brian has 3x more than natasha u can rewrite b as 3n)
2. Solve : 4n=88 (divide by 4)
N=22 so natasha has 22 marbles and since b=3n, brian has 66 marbles
4.5, since 6 times .75 (the model height) is 4.5
Given :
Price per pound of peanuts is, P = $3.38 .
Derek buys a sack of peanuts for $15.82.
To Find :
The weight of the peanuts that are in the sack.
Solution :
Let, weight of peanuts that are in the sack are x.
So, 
Therefore, number of pounds in the sack is 4.68 pounds.
Answer:
1728 inches
Explanation:
There are 3 feet in 1 yard and 12 inches in 1 foot, so we have:
48 yards * 3 = 144 feet
144 ft * 12 = 1728 inches
Emily bought 1728 inches.