Substitution is plugging in a value for a variable to help solve the problem or equation.
<span>for example </span><span>"Substitute 5 into x" means plug 5 into x </span>
According to ratio theorem;
x = 2/5(Q) + 3/5(P)
= 2/5(12.5,7.5) + 3/5(2,1)
= 2( 2.5, 1.5) + 3( 0.4, 0.2)
= (5,3) + (1.2,0.6)
= (6.2, 3.6)
The Coordinates of X will be;
=(6.2, 3.6)
Answer:

And if we take the average value of the sample variances from all the possible random samples we will get the population variance:

So then the best answer for this case would be:
The average value of the sample variances from all the possible random samples will be exactly the population variance
Step-by-step explanation:
For this case we can define the sum of squares with this formula:

Where:

And we can find the sample variance with this formula:

And if we take the average value of the sample variances from all the possible random samples we will get the population variance:

So then the best answer for this case would be:
The average value of the sample variances from all the possible random samples will be exactly the population variance
Answer:
41.02 meters.
Step-by-step explanation:
See the attached diagram.
The distance between the goals of a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field.
If the distance from the front of the box at one end of the field to the front of the box at the other end of the field is x meters, then we can write the equation as
5.49 + x + 5.49 = 52
⇒ x + 10.98 = 52
⇒ x = 41.02 meters. (Answer)