Answer:
You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs. You can use the Pythagorean Theorem to find a value for the length of c, the hypotenuse.
Answer:
And using the normal standard table or excel we find the probability:

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 avergae number of weeks an individual is unemployed 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 distribution for the sample mean
is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:

Answer:
16.25$
Step-by-step explanation:
4.25 times 3 = 12.75
vase- 3.50
12.75 + 3.50 = 16.25$
with 3.25$ left.
For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.
That is to say:

We have the following equation:

So:

Thus:

Thus, a line perpendicular to the given line must have slope 
Option A:

It is not perpendicular!
Option B:

If it is perpendicular!
Option C:

It is not perpendicular!
Option D:

It is not perpendicular!
The correct option is option B
ANswer:
Option B
The answer is the last one, y = 2/3 -2
Use the rise over run strategy on linear functions such as this one