Answer:
- x = 37
- DG = 22
- AG = 44
- AD = 66
Step-by-step explanation:
We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...
(x+7) = 2(x -15)
x + 7 = 2x - 30 . . . . eliminate parentheses
37 = x . . . . . . . . . . .add 30-x
Then AG = 37+7 = 44
and DG = 37-15 = 22.
Of course, AD = AG +GD = 44 +22 = 66
Assuming this triangle is a right triangle, 52 degrees.
To answer, it is assumed that e here is the Euler number which is equal to 2.718. Substitute this value to the e of the second equation to get the value of b.
b = 0.5(2.718^2) = 3.6945
Then, we substitute this value to the first equation to get the value of a.
a = 4(3.6945^2) = 54.498
Thus, the answer is approximately equal to 54.5.
Answer:
Mean
Step-by-step explanation:
Given
![Data: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4](https://tex.z-dn.net/?f=Data%3A%204%2C%204%2C%202%2C%204%2C%204%2C%201%2C%203%2C%204%2C%202%2C%204)
Required
Best measure of center
The mean is considered the best measure of center when there are no outliers in the given data.
Outlier is when a particular data set is far away from other datasets.
For instance: 20 is an outlier in the following data sets: ![4, 4, 2, 20, 4, 4, 1, 3, 4, 2, 4](https://tex.z-dn.net/?f=4%2C%204%2C%202%2C%2020%2C%204%2C%204%2C%201%2C%203%2C%204%2C%202%2C%204)
Also, the given data are not open-ended.
An open-ended data is as follows: ![1, 2, 3, 4, 5\ or\ more](https://tex.z-dn.net/?f=1%2C%202%2C%203%2C%204%2C%205%5C%20or%5C%20more)
Since we do not have any of the above conditions, then the mean is the best center to use.
Answer:
x=-7
Step-by-step explanation:
2x-5=5x+16
(2x-5x)=(5+16)
-3x=21
21/(-3)=-7