Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:

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 heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:

I got B but I'll show you how I got that answer.
Let's look at AB and BC. AB = 3 and BC = 4.
3/4 = 0.75
On the triangle, AB = 90. And BC = 10x - 20. We need to solve for x and prove that AB/BC = 0.75.
Let's start with Choice A.
10(11) - 20 = 90.
AB = 90
BC = 90.
90/90 = 1. It doesn't equal 0.75. Meaning this answer is wrong.
Now let's look at Choice B.
10(14) - 20 = 120.
AB = 90
BC = 120
90/120 = 0.75
So, 3:4 = 90:120 making Choice B the correct Answer. Let me know if this is correct
Answer:
A. Similar; congruent angles
Step-by-step explanation:
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