Answer:
The p-value would be 0.0939
Step-by-step explanation:
We can set a standard t-test for the Null Hypothesis that 
The test statistic then takes the form

with this value we then can calculate the probability that is left to the right of this value
. From theory we know that t follows a standard normal distribution. Then
which is smaller than the p-value set by Breyers of 0.10
Answer:
g(q) = 
Step-by-step explanation:
Given
- 7q + 12r = 3q - 4r
Rearrange making r the subject
Add 7q to both sides
12r = 10q - 4r ( add 4r to both sides )
16r = 10q ( divide both sides by 16 )
r =
=
, thus
g(q) = 
Answer:
(-3,2) is located in the solution region.
Step-by-step explanation:
First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:

We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:

Therefore, Clara's house is located at (-2,0)
Answer:
C. the circumference of a circle
Step-by-step explanation:
The perimeter of a square is the length of the outside, which is found by adding all the side lengths. The circumference of a circle is similar because it is also the length of the outside of the shape.