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
Bruna could choose option B and option C.
Option B:
Find the most dollars paid per hour worked this is one of the best option to choose because here for one hour most dollars will be paying means there is a income source and best paying job.
Option C:
Find the most dollars paid per hour worked this is also a best option to choose because here with less number of hours work you are getting the dollar so there is no workload hence it is the best paying job.
Therefore Bruna could choose option B and option C.
Learn more about the best paying job here:
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The value of e would be hundred thousandth
Part 1We are given

. This can be rewritten as

.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula

The values of x are
Part 2Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a
quadratic function. Part 3.The first equation is

.
The second equation is

.
We have

Factoring, we have

Equating both factors to zero.

When the value of x is 6, the value of y is

When the value of x is -3, the value of y is

Therefore, the solutions are (6,38) or (-3,11)