Answer: 8
hours
Step-by-step explanation:
Let x represent the time it takes if both are used.
The unit time it takes to fill the pool using the first house is 1/20 and also the unit time it takes to fill the pool using the second house is 1/16 , therefore:
1/16 + 1/20 = 1/x
= 
= 
Therefore
x = 
Therefore, it takes 8
hours using both houses
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)
You have to separate the coefficient, "-4.3" from the variable "g', by using the inverse operation then doing it to the other side. You would divide 25.8 by -4.3 to get -6 <--Answer
<span>Dayson has 1 m2 of wrapping paper, which is 10000 cm2:
1 m = 100 cm
1 m^2 = (100 cm)^2
</span>1 m^2 = 10000 cm^2
<span>The package has a surface area of cm2:
A = 2*(50*20) + </span>2*(50*18) + 2*(18*20)
A = <span>
<span>4520 cm^2
</span></span>The area of the package is less than the area of the wrapping paper (4520 cm^2 < 10000 cm^2<span>). So, Dayson cover the package with the wrapping paper.</span>
Answer:
Factor
Step-by-step explanation:
Sum = Answer of an addition problem
Variable =
or 
The factor should answer the question