Answer:
y= 4x + (-16)
Step-by-step explanation:
The slope of the given lime is m=4
x-intercept of the parallel line: (4,0)
plug that into the equation y= mx+b to find that b= -16
since the slope stays the same for parallel lines, and we just found b, we have the new line equation
Answer:
3
Step-by-step explanation:
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<u>Given Question</u>
For the expression
, evaluate it for
.
From the evaluated set of values the mean absolute deviation rounded off to the nearest tenth is:
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Evaluating the expression for the given values of x:
![x=0 \implies 2(0)-5=-5](https://tex.z-dn.net/?f=x%3D0%20%5Cimplies%202%280%29-5%3D-5)
![x=1 \implies 2(1)-5=-3](https://tex.z-dn.net/?f=x%3D1%20%5Cimplies%202%281%29-5%3D-3)
![x=2 \implies 2(2)-5=-1](https://tex.z-dn.net/?f=x%3D2%20%5Cimplies%202%282%29-5%3D-1)
![x=3 \implies 2(3)-5=1](https://tex.z-dn.net/?f=x%3D3%20%5Cimplies%202%283%29-5%3D1)
![x=4 \implies 2(4)-5=3](https://tex.z-dn.net/?f=x%3D4%20%5Cimplies%202%284%29-5%3D3)
![x=5 \implies 2(5)-5=5](https://tex.z-dn.net/?f=x%3D5%20%5Cimplies%202%285%29-5%3D5)
<u></u>
Evaluated set of values: -5, -3, -1, 1, 3, 5
To find the Mean Absolute Deviation (MAD):
- Calculate the mean (by summing the data values and dividing by the number of values)
- Subtract the mean from each value in the data set and take the absolute value of each result.
- Sum the absolute values from step 2.
- Divide by the number of values.
<u></u>![\sf Mean=\dfrac{(-5)+(-3)+(-1)+1+3+5}{6}=0](https://tex.z-dn.net/?f=%5Csf%20Mean%3D%5Cdfrac%7B%28-5%29%2B%28-3%29%2B%28-1%29%2B1%2B3%2B5%7D%7B6%7D%3D0)
Absolute values:
![\sf|-5-0|=5](https://tex.z-dn.net/?f=%5Csf%7C-5-0%7C%3D5)
![\sf|-3-0|=3](https://tex.z-dn.net/?f=%5Csf%7C-3-0%7C%3D3)
![\sf|-1-0|=1](https://tex.z-dn.net/?f=%5Csf%7C-1-0%7C%3D1)
![\sf|1-0|=1](https://tex.z-dn.net/?f=%5Csf%7C1-0%7C%3D1)
![\sf|3-0|=3](https://tex.z-dn.net/?f=%5Csf%7C3-0%7C%3D3)
![\sf|5-0|=5](https://tex.z-dn.net/?f=%5Csf%7C5-0%7C%3D5)
Sum of absolute values = 18
![\sf \implies MAD=\dfrac{18}{6}=3](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20MAD%3D%5Cdfrac%7B18%7D%7B6%7D%3D3)