This looks like common core which is never straight forward.It seems as though they are asking for the perimeter and not area,since they used feet for the distance around instead of sq.ft.
Answer:
the correlation coefficient of the line of best fit is, 0.98247.
Step-by-step explanation:
Correlation Coefficient are used to find how strong relationship between the data. It expressed its values between +1 and -1. It is represented by r.
* if 0<r<1 indicates a strong positive relationship.
* -1<r <0 indicates a strong negative relationship.
* r=0 indicates no relationship at all.
The formula for this :
![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%20%3D%20%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%5D%7D%7D)
Given the data: (-3, -40) , (1, 12), (5, 72) and (7,137)
Here, n = 4
To calculate the correlation coefficient r;
Substitute the values of data in above formla of r , as shown in the Figure 1:
then;
or
![r=\frac{5804-1810}{\sqrt{[336-100][102788 -32761]}}=\frac{3994}{\sqrt{[236][70027]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5804-1810%7D%7B%5Csqrt%7B%5B336-100%5D%5B102788%20-32761%5D%7D%7D%3D%5Cfrac%7B3994%7D%7B%5Csqrt%7B%5B236%5D%5B70027%5D%7D%7D)
or

Therefore, the correlation coefficient r is, 0.98247 (Positive relationship)
Amount using compound interest = 2400(1 + 0.034)^5 = 2400(1.034)^5 = 2400(1.1820) = $2,836.70
Amount using simple interest = 2400(1 + 5 x 0.034) = 2400(1 + 0.17) = 2400(1.17) = $2,808
Difference = $2,836.70 - $2,808 = $28.70
Therefore, <span>he will earn $28.70 more interest in 5 years if the interest were compounded annually</span> .
Answer:
False.
Step-by-step explanation:
y+9=0
y=-9
hope you have a good day/night! :)
Hello!
This is a problem about probability.
What we would first do is find the theoretical probability that Susan would roll the number 3 on a die.
Assuming that this is a fair six sided die, there is only one face with the number 3, and there are 6 sides, meaning that the probability that Susan rolls a 3 would be
.
Now, Susan is rolling a die 1,086, meaning that we can divide this number by 6 to find the theoretical number of times that Susan would roll the number 3 on this die.
You should get 181 times, which would be a good estimate of how many times she could roll the number 3.
Hope this helps!