Recall the double angle identity:

With
measuring between 0º and 90º, we know
. So from the Pythagorean identity, we get

Then

Answer:
a. For n=25, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,580, respectively.
b. For n=50, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,117, respectively.
Step-by-step explanation:
In this case, for each sample size, we have a sampling distribution (a distribution for the population of sample means), with the following parameters:

For n=25 we have:

The spread of the sampling distribution is always smaller than the population spread of the individuals. The spread is smaller as the sample size increase.
This has the implication that is expected to have more precision in the estimation of the population mean when we use bigger samples than smaller ones.
If n=50, we have:

Answer: He bought 8 quarts
Step-by-step explanation:
There are 4 quarts in a gallon so if you multiply 4 by 2 then you get 8,
Answer:
The answer is 21.10
Explanation:
If her bill in July was $52.75 and her bill in August was only 60% of July
60% of 52.75 is 31.65
and they asked how much more she paid:
52.75-31.65 = 21.10
hope this helps!
Answer:
Step-by-step explanation: