Answer:
8
Step-by-step explanation:
3+5=8
Answer:
-7
Step-by-step explanation:
-3x-5=16
-3x-5+5=16+5
-3x=21
-3x/-3=21/-3
x=-7
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that 
Samples of n:
This means that the standard deviation is:

What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
10 is your common difference
The first step for solving this expression is to reduce the fraction with 11.

Now reduce the fraction with

.

Reduce the fraction one more time with

.

To take the root of a fraction,, we must take the root of the numerator and denominator separately. This rule will change the expression to the following:

Since we cannot simplify this fraction any further,, the final answer is going to be

.
Let me know if you have any further questions.
:)