Answer:
Step-by-step explanation:
first term (a) = 4
last term (b) = 9
Arithmetic mean (AM)
= ( a + b) / 2
= ( 4 + 9 ) / 2
= 13/2
= 6.5
Geometric mean (GM)
= √a *b
=√4 * 9
=√36
= 6
hope it helps :)
Answer:


Step-by-step explanation:
, 
Replace all occurrences of
in
with 


Add
and 3.


Subtract 5x from both sides of the <u>equation.</u>


Subtract 5x from 3x.


Rewrite 1 as
.


Check that the middle <u>term</u> is two times the <u>product</u> of the numbers being squared in the first <u>term</u> and third <u>term</u>.
·
· 

Rewrite the <u>polynomial</u>.
·
·


Factor using the <u>perfect square</u>
<u>trinomial</u> rule 
where a = x and b = 1.


<u>Set</u> the
equal to 0.


Add 1 to both sides of the <u>equation</u>.


Replace all occurrences of
in
with 1.



Answer:

Step-by-step explanation:
First we need to rewrite 3x-5y=8 in slope-intercept form.

The slope of this line is

The line perpendicular to this line will have a slope that is the negative reciprocal of 3/5, which is

This line passes through (3,7).
The equation is given by:

We substitute the point and slope to get:

We multiply through by 3 to get:

Expand to obtain:



Answer:
The mean and SD will change
The median is a better measure of the center since it will not change in this case
Step-by-step explanation:
Given that the value 100 was changed to 15, what will happen is that the value of the mean will decrease since there is a lower total value now. This will consequently decrease the value of the standard deviation too.
Yes, the median will be a better choice
This is because, by changing the value of 100 to 15, the value of the median stays the same and thus the previous information would not be changed if the median we used .