Answer:
The coordinates of point b are (-5,5).
Step-by-step explanation:
Given:
Point a is at (-7,-7) and m is at (-6,-1).
So, to find the coordinates of point b.
Let a (-7,-7) be
, m (-6,-1) and b
.
Now, putting the formula to get the coordinates:

⇒
So, here we will make two equations to find the value of
:

multiplying both sides by 2
⇒
⇒
And, now same method for getting the value of
.

multiplying both sides by 2
⇒
⇒
.
The value of
=
.
Therefore, the coordinates of point b are (-5,5).
Yes, so the Y intercept of the linear regression line is 250 ( it is on the y-axis at point [0,250]. You can also see that for every 2x the number on the y axis decreases by 50. This means that the slope is -25. Now put what we know into the equation for a line - y=mx+b
y = -25x +250
The answer is 4.0120603015
Answer:
Part 1) The area of the polygon is 
Part 2) The area of the polygon is 
Step-by-step explanation:
Part 1) we know that
The area of the figure is equal to the area of rectangle GPST plus the area of triangle PES
Observing the graph
<u>Find the area of rectangle</u>

<u>Find the area of triangle</u>

The area of the figure is equal to

see the attached figure N 1 to better understand the problem
Part 2) we know that
The area of the figure is equal to the area of two triangles plus the area of a trapezoid
Observing the graph
<u>Find the area of triangle 1</u>

<u>Find the area of triangle 2</u>

<u>Find the area of trapezoid</u>

The area of the figure is equal to

see the attached figure N 2 to better understand the problem
Answer:
The 95% confidence interval for the average hourly wage of all information system managers is (39.14,42.36)
Step-by-step explanation:
In order to calculate the 95% confidence interval for the average hourly wage we would have to calculate first the margin of error as follows:
ME=t0.05/2,n-1s/√n
for n=75, t0.025,74=1.993
Therefore, ME=1.993*7/√75
ME=1.61
Therefore, the 95% confidence interval for the average hourly income of all syatem manager would be as follows:
(X-ME,X+ME)=(40.75-1.61,40.75+1.61)
=(39.14,42.36)