Answer:
a) x = 492/738
b) m<p = 39°
m<n = 141°
Step-by-step explanation:
Find the diagram attached
a) The sum of angle on the straight line l is 180degrees
m<n + m<p = 180 degrees
Given
<p = 21x+25
<n = (675x-27)/3
Substitute the given values into the formula
(675x-27)/3 + 21x+25= 180
[(675x-27+3(21x+25))]/3 = 180
675x-27+63x +75 = 180*3
675x+63x-27+75 = 540
738x+48 = 540
738x = 540 - 48
738x = 492
x = 492/738
b) m<p = 21x+25
m<p = 21(492/738) + 25
m<p = 14+25
m<p = 39°
Recall that m<p + m<n = 180
m<n = 180-m<p
m<n = 180 -39
m<n = 141°
The amount of variance for y that is predicted by its relationship with x is 64%.
<h3>
How much variance is predicted?</h3>
Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset. Variance measures the variation of a data set.
Correlation is a statistical measure used to measure the linear relationship that exists between two variables. The greater the correlation coefficient is closer to one, the greater the linear relationship that exists between the two variables. A positive correlation occurs when the two variables move in the same direction.
Variance = (correlation coefficient²) x 100
(0.80²) x 100
0.64 x 100 = 64%
To learn more about correlation, please check: brainly.com/question/27246345
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Answer:
The graph is all of the plane on and to the right of the vertical line whose equation is x=-3. Take two points whose x-coordinates are -3, say (-3,-3), and (-3,3), connect with a straight line.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
