C. Alternate interior angles theorem
The angles labeled are on the inside of lines l and m and they are also on alternate sides of the unnamed line
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Answer:
A. Constant of proportionality : Yes
B. Origin : No.
C. Inverse : No.
D. Rise per run : Yes
E. Unit rate : Yes.
Step-by-step explanation:
We have to choose yes or no to tell whether each item in the given options is equivalent to the slope in a proportional relationship.
A. Constant of proportionality: Yes
B. Origin: No.
C. Inverse: No.
D. Rise per run: Yes
E. Unit rate: Yes.
The constant of proportionality, the rise per run and the unit rate are equivalent to slope in a proportional relationship. (Answer)
Answer:
Step-by-step explanation:
Hello!
Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.
The population equation line is
E(Y)= β₀ + β₁X
Using the information of a n= 100 sample, the following data was calculated:
R²= 0.23
Coefficient Standard Error
Intercept 25675.5 11393
x 5321 2119
The estimated equation is
^Y= 25675.5 + 5321X
Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:
H₀: β = 0
H₁: β ≠ 0
There are two statistic you can use to make this test, a Student's t or an ANOVA F.
Since you have information about the estimation of β you can calculate the two tailed t test using the formula:
~
= 25.1109
The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated
under the distribution 
p-value < 0.00001
I hope it helps!
Answer:
The money they make on selling pies on Saturday is $68 (approximately).
Step-by-step explanation:
Given:
Cost of an apple pie is $9.75.
Total apple pie sold on Saturday is 7.
So, to get the total amount of apple pie sold on Saturday:



Total amount = $68.25.
Therefore, the money they make on selling pies on Saturday is $68 (approximately).
Side XZ needs to be congruent to side AC. The answer is D.