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.
Step-by-step explanation:
We need to find an expression for 
.
We can solve it as follows.
We know that,
So,
or
Hence, this is the required solution.
Answer:
a = 33 degrees, b = 147 degrees
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees, and to solve for the angle on the other side of 109 degrees is 71 degrees, so to solve for a, have 180 minus 71 and 76. Then the sum of 71 and 76 is angle b since its the result of a subtracting from 180.
The volume is 60 cubic inches.
To solve, follow the formula Volume = Length · Height · Width. If you are solving without a calculator, simply multiply the length and the height first, then multiply the product of that by the width, 2 / 3.
V = 10 · 9 · 2/3
V = (10 · 9) 2/3
V = 90 · 2/3
<span>V = 60 in.³
</span>
Hope this helps. Good luck! :)
Answer:
-x^3*(x + 1)
Step-by-step explanation:
Perform the indicated multiplication and then write out all the terms in descending order by powers of x:
-x^3(5x+1)+4x^4 = -5x^4 - x^3 + 4x^4
= -x^4 - x^3, or = -x^3*(x + 1)
