A(-3, -1); B(2, -1), C(2, 3)
You can read the length of AB and BC.
|AB| = 5
|BC| = 4
Use the Pythagorean theorem:

The perimeter:

Answer:
<u>x</u><u> </u><u>is</u><u> </u><u>3</u>
Step-by-step explanation:


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: 6) 15 1/10
Step-by-step explanation:
Add the whole numbers and then find a common number for the bottom fraction. So that'd be ten. To get to ten from 2 you'd multiply by five then multiply the top number by five too. That gets you 5/10 and do the same for the other fraction. Get the bottom number to ten then whatever you multiply by do the same to the top. After doing that putting the fractions together which gets you 11/10. That'd make 1 1/10 so that makes it 15 instead of 14 whole
Answer:
The total volume of the whole figure is 576m³.
Step-by-step explanation:
First find the volume for the first figure.
Volume of a Rectangular Prism (formula): L•W•H
V = (15m)(12m)(2m)
V = 360m³
Now, find the volume for the second figure.
V = (6m)(12m)(3m)
V = 216m³
Finally, just add both volumes to find the total volume of the entire figure.
Vt = 216m³ + 360m³
Vt = 576m³