Slope formula (y2-y1)/(x2-x1)
(7-5)/(2-1) slope is 2
then plug in a coordinate point into the equation
y=2x+b
7=2(2)+b
b=3
therefore the equation is
y=2x+3
Answer:
![\sigma^2 = 3^2 \frac{10-1}{10}= 8.10](https://tex.z-dn.net/?f=%20%5Csigma%5E2%20%3D%203%5E2%20%5Cfrac%7B10-1%7D%7B10%7D%3D%208.10)
Step-by-step explanation:
For this case we have a sample of n =10 and we have the following statistics:
![\bar X = 37.3 , s= 3](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%2037.3%20%2C%20s%3D%203)
And we want to estimate the population variance. We need to remember that the population variance is given by this formula:
![\sigma^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20%28X_i%20-%5Cbar%20X%29%5E2%7D%7Bn%7D)
And the sample variance is given by:
![s^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}](https://tex.z-dn.net/?f=%20s%5E2%20%3D%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20%28X_i%20-%5Cbar%20X%29%5E2%7D%7Bn-1%7D)
And we can find a formula for the population variance in terms of the sample deviation like this:
![\sigma^2 = s^2 \frac{n-1}{n}](https://tex.z-dn.net/?f=%20%5Csigma%5E2%20%3D%20s%5E2%20%5Cfrac%7Bn-1%7D%7Bn%7D)
And replacing we got:
![\sigma^2 = 3^2 \frac{10-1}{10}= 8.10](https://tex.z-dn.net/?f=%20%5Csigma%5E2%20%3D%203%5E2%20%5Cfrac%7B10-1%7D%7B10%7D%3D%208.10)
The problem is simply asking us to convert the units from BTU to units of foot pound force. To do this, we use the conversion ratio 1 BTU/778.169 ft-lbf. We do as follows:
1500 BTU/hr ( 777.169 lbf-ft / 1 BTU ) = 1165753.5 lbf-ft/hr
Hope this answers the question.
Answer:
The solution to this question is 104.25cm²
Step-by-step explanation:
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