Answer:
Option B is right
Step-by-step explanation:
given that the distribution of 27 salaries at a small company has mean $35,000 and standard deviation $2,000.
When an extreme outlier such as 120000 is included for 28th employee we find that mean would jump up.
Since original median was 14th item, now with one more, new median would be average of 14th and 15th. Hence median may change.
Range will definitely change because maximum shifted up to 120000
Hence we can say
mean increases , median change and range changes.
Hence we find that Option B is right.
The rotated image if below the original image, so this shows it was rotated clockwise.
In the original image line FG is a horizontal line, if it is rotated 90 degrees, it would become a vertical line. In the rotated image line FG is at an angle, so this means it was rotated 45 degrees.
The answer is a 45 degree clockwise rotation.
The answer to the questions is c
<em><u>True staments are:</u></em>
The y-variable will be eliminated when adding the system of equations
There is only one solution to the system of equations
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
x + 6y = 16 ----- eqn 1
8x - 6y = -2 ---- eqn 2
We have to solve the system of equations
When we add eqn 1 and eqn 2, then y term will get eliminated
Let us add eqn 1 and eqn 2
x + 6y + 8x - 6y = 16 - 2
6y and -6y will get eliminated
Thus, y-variable will be eliminated when adding the system of equations
x + 8x = 14
9x = 14
x = 1.55
Substitute x = 1.55 in eqn 1
1.55 + 6y = 16
6y = 16 - 1.55
6y = 14.45
y = 2.408
Thus the solution is x = 1.55 and y = 2.408
There is only one solution to the system of equations