Answer:
a) ![r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4%28333%29-%28200%29%285.37%29%7D%7B%5Csqrt%7B%5B4%2812000%29%20-%28200%29%5E2%5D%5B4%289.3501%29%20-%285.37%29%5E2%5D%7D%7D%3D0.9857)
The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables
b) 
Now we can find the means for x and y like this:
So the line would be given by:
Step-by-step explanation:
Part a
The correlation coeffcient 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 our case we have this:
n=4 
The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables
Part b
Where:
With these we can find the sums:
And the slope would be:
Now we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
Answer:
A.
Step-by-step explanation:
Volume of cone = 1/3πr²h
= (1/3)(3.14)(1.5)²(5)
= (1/3)(3.14)(2.25)(5)
= (1/3)(35.3)
= 11.78
≈ 11.8 cubic inches
1/3 + 3/7
save + fun + extra
(7/21 + 9/21) = 16/21 on save and fun
Answer:
52 dollars and 47 cents, or 52.47
Step-by-step explanation:
First, multiply 12 and 5.50, then you should get 66.00. Then, take the 25% discount, and divide it by a hundred, you should get 0.25, now multiply 0.25 and 66.00. You should get 16.50, thats your discount, so subtract 16.50 from 66.00, you should get 49.50. Now for the sales tax, divide 6.0 by 100, you should get 0.06. Now multiply 0.06 and 49.50, you should get 2.97, thats your tax, add it to 49.50, and you get 52.47 so BOOM, thats your answer, your welcome
We first assume that this gas is an ideal gas and we use the ideal gas equation to determine the answer. It is expressed as:
PV = nRT
Molar volume can be obtained from the equation by V/n.
V/n = RT/P
Therefore, the correct answer from the choices listed above is option A, <span>at 273 K and at 2.0 atm.</span>
