Answer:
D. 
Step-by-step explanation:
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
Answer: cotθ
<u>Step-by-step explanation:</u>
tanθ * cos²θ * csc²θ
= 
= 
= cotθ
Answer: B
<u>Step-by-step explanation:</u>
The parent graph is y = x²
The new graph y = -x² + 3 should have the following:
- reflection over the x-axis
- vertical shift up 3 units
Answers:
- a. Quadrant II
- b. negative
- c.

- d. C
- e.

<u>Explanation:</u>

a) Quadrant 2 is: 
b) In Quadrant 2, cos is negative and sin is positive, so tan is negative
c)
= 
d) the reference line is above the x-axis so it is negative --> 
e) 
Answer:
C
5(10)+10=60
-2(-5)+7=17
Step-by-step explanation: