Answer:
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where 
and 
And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean 
is given by:
And the standard error of the mean would be:
4.1.5
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
And the standard error of the mean would be:
4.1.5
This is a problem dealing with permutations and combinations.
Order does not matter in this problem.
Since order doesn't matter, it is a combination.
Repetition matters, since you can't have the same person count as two people.
There are twelve slots.
_ _ _ _ _ _ _ _ _ _ _ _
Each slot needs to be multiplied by the next.
_*_*_*_*_*_*_*_*_*_*_*_
Now we have to fill in the slots.
Each slot will be filled with a number one less than the one before it. It has to be one less, since repetition matters.
The numbers will be decreasing from 30, since there are 30 possible people.
30 * 29 * 28 * 27 * 26 * 25 * 24 * 23 * 22 * 21 * 20 * 19
Multiply these numbers together and you get your answer.
41,430,393,164,160,000 ways
Answer:
Complete the following statements.
The functions f and g have the same axis of symmetry.
The y-intercept of f is greater than the y-intercept of g.
Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.
I might be wrong but don’t you need two equations to do the elimination process?
Answer:
-9<x≤2
Step-by-step explanation:
The domain is the x values
If we look at the line, we see a closed circle when x=2, so x is less than or equal to 2
The other circle is open and is at -9, so x is greater than -9
-9<x≤2
Lemme know if u need more explanation!
