Answer:
1. Data point A
4. Data point D
Step-by-step explanation:
In a scatter plot, the closer the clustered data points are close to the best line of fit, the greater the correlation that would exist between the two variables.
If we are to draw a best line of fit in the scatter plot that is shown above, the closest data points amongst data points A, B, C, D, and E, that would be close to the best line of fit are data points A and D.
Therefore, removing data point A and point D would cause the correlation to decrease the most.
Answer:
y= -2x
Step-by-step explanation:
To find the slope, convert the standard form of the equation into slope intercept form, y=mx+b.
5x-10y=-12
-10y=-5x-12
y=1/2 x + 1.2
The slope is 1/2 and the slope of the new line will be -2 because the negative reciprocal create a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-8)=-2(x--4)
y-8=-2(x+4)
y-8=-2x -8
y= -2x +0
The answer is A
You would multiply the second equation by -2 to clear the 'y'.
This leaves -10x = 2B and 3x = A
When combining these we get -7x = A - 2B
Step-by-step explanation:
Suppose AB is the 3- foot high access ramp that ends at point C 20 feet along the ground and
theta is the angle of depression from the start of 3 foot high ramp at point A
Now, in ∆ ABC
m<ACB= theta ( alternate interior angle)
Therefore,
![\tan(theta) = \frac{AB}{BC}](https://tex.z-dn.net/?f=%20%5Ctan%28theta%29%20%3D%20%20%5Cfrac%7BAB%7D%7BBC%7D%20)
![\tan(theta) = \frac{3}{20}](https://tex.z-dn.net/?f=%20%5Ctan%28theta%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B20%7D%20)
(theta) = tan⁻¹(3/20)
= 8.5°