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Answer:
The dependent variable is the final grade in the course and is the vriable of interest on this case.
H0: 
H1: 
And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.
Step-by-step explanation:
On this case w ehave the following linear model:

Where Y represent the final grade in the course and X the student's homework average. For this linear model the slope is given by
and the intercept is 
Which is the dependent variable, and why?
The dependent variable is the final grade in the course and is the vriable of interest on this case.
Based on the material taught in this course, which of the following is the most appropriate alternative hypothesis to use for resolving this question?
Since we conduct a regression the hypothesis of interest are:
H0: 
H1: 
And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.
Answer:
x > 22
Step-by-step explanation:
<em>Hey there!</em>
Well to solve,
52 - 3x < -14
we need to single out x
52 - 3x < -14
-52 to both sides
-3x < -66
Divide both sides by -3
x > 22
The < changes to > because the variable number is a - being divided.
<em>Hope this helps :)</em>
Given:
Point (7,12) is rotated 1260° counterclockwise about the origin.
To find:
The x-coordinate of the point after this rotation.
Solution:
If a point is rotated 360 degrees then its coordinates remains unchanged.
If a point is rotated 180 counterclockwise about the origin degrees, then

We know that,


After
rotation the coordinates of points remains same, i.e., (7,12). So, after that (7,12) is rotated 180° counterclockwise about the origin.

The point (7,12) becomes (-7,-12) after rotation of 1260° counterclockwise about the origin.
Therefore, the x-coordinate of the required point is -7.
Answer: It’s C, “x+12=30; x=18 students”
Step-by-step explanation:
If Mr. Wilson has 12 more students than Mr. Star, whatever Mr. Star has (x) plus 12, should equal 30. That would make x, or the amount of students Mr. Star has, 18. This answer is included in option C.