They would be alternate exterior so they would have to to be equal
2k + 11 = 131
-11 -11
2k = 120
---- -----
2k 2k
k = 60
Recall the Pythagorean Theorem which says:
a^2 + b^2 = c^2
where c is the hypotenuse and a and b are the other 2 legs. Now we just plug in numbers we already know (the hypotenuse and one leg) and solve for the unknown side:
5^2 + b^2 = 6^2
25 + b^2 = 36
b^2 = 11
b = √11
Thus the answer is C.
Using the <u>Central Limit Theorem</u>, the statement is false, as for the averages of the data values for a sample group, the standard error is
, hence, the formula is:

While for a single value, it is:

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
Hence, the formulas are different, and for an average of the data values for a sample group it is:

A similar problem is given at brainly.com/question/24663213