Answer:

And the determination coeffcient is just the correlation coeffcient square and we got:

And rounded to the nearest tenth thousand would be 0.1521
Step-by-step explanation:
The correlation coefficient is a measure of variability and is given by this formula:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
For this case we have

And the determination coeffcient is just the correlation coeffcient square and we got:

And rounded to the nearest tenth thousand would be 0.1521
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-8 3/8 = -8 15/40
-12 4/5 = -12 32/40 ,because you had to get a common denominator.
Since you are subtracting from a negative the negative turns into a positive.
-8 15/40 + 12 32/40 = 4 17/40
Answer:
°
°
°
Step-by-step explanation:
Let the measure of angle C be
°.
Given:
In triangle ΔABC,
is thirteen less than
and
is eleven less than four times
. This gives,


Also, 
Now, for a triangle, the sum of all its interior angles is equal to 180°.
Therefore, 
Plug in all the values and solve for x. This gives,

Therefore, measure of angle C is 34°.
Measure of angle A is,
°.
Measure of angle B is,
°.
Answer:
Width of the garden box = 4 feet
Step-by-step explanation:
Given that:
Length of garden box = 22 feet
Let,
w be the width of garden box
It is also given that:
The length of a garden box is 6 feet longer than 4 times the width.
L = 4w + 6
Putting L = 22
22 = 4w + 6
22 - 6 = 4w
4w = 16
Dividing both sides by 4

Hence,
Width of the garden box = 4 feet