Answer:
![y=\frac{3}{2} x+\frac{20}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20x%2B%5Cfrac%7B20%7D%7B3%7D)
Step-by-step explanation:
First, to find the original line, employ the slope formula.
![\frac{y2-y1}{x2-x1} \\\\\frac{6-8}{4-1} \\\\\frac{-2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D%20%5C%5C%5C%5C%5Cfrac%7B6-8%7D%7B4-1%7D%20%5C%5C%5C%5C%5Cfrac%7B-2%7D%7B3%7D)
The slope of your original line is
.
Next, plug in your slope and the third point to the point-slope formula.
![y-y1=m(x-x1)\\\\y-8=-\frac{2}{3} (x+2)\\\\y-8=-\frac{2}{3} x-\frac{4}{3}\\\\y=-\frac{2}{3} x+\frac{20}{3}](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29%5C%5C%5C%5Cy-8%3D-%5Cfrac%7B2%7D%7B3%7D%20%28x%2B2%29%5C%5C%5C%5Cy-8%3D-%5Cfrac%7B2%7D%7B3%7D%20x-%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5Cy%3D-%5Cfrac%7B2%7D%7B3%7D%20x%2B%5Cfrac%7B20%7D%7B3%7D)
To find the line which is perpendicular to the line, take the opposite reciprocal of the slope.
To find the opposite, flip the sign.
is negative, so it will become
, which is positive.
To find the reciprocal, flip the fraction.
would become
.
Your slope for the perpendicular line is
, so your line is:
![y=\frac{3}{2} x+\frac{20}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20x%2B%5Cfrac%7B20%7D%7B3%7D)
Answer: 12/5
Step-by-step explanation:
14 * 9000
---
9
126000
-----------
9
=14000
Answer:
The value of m would be -1/5
Step-by-step explanation:
In order to find the m of the second line, we need to find the slope of the first line, which is 5. Now, the perpendicular slope would be the opposite and reciprocal. So we take 5 and we negate it to -5. Now we flip it to get -1/5, which is the slope of the new line.
The term that refers to the numerical probability of the chances that the true value falls within the range of reliability is called confidence level.
Saving that you surveyed a whole population, a 100% confidence level is non-existent in statistics, — and even then you probably couldn’t be 100 percent sure that your survey wasn’t open to some kind of error or bias.