1. C) Consecutive Interior Angle
2.D) Alternate Interior Angle
So we want to see which number line shows the sum 1.5 + 2.5. We will see that the correct option is <u>"An arrow goes from 0 to 1. 5 and from 1. 5 to 4"</u>
So the number line usually starts at 0 and goes to the first number, 1.5 in this case.
Then, it moves accordingly to the second number, 2.5 (so it will move 2.5 units to the right)
So the number line should start at 0 and move to the right until it meets 1.5 + 2.5 = 4.
From the options, the only that is correct is:
<u><em>"An arrow goes from 0 to 1. 5 and from 1. 5 to 4"</em></u>
If you want to learn more about number lines, you can read:
brainly.com/question/10851163
Answer:
-8 vertical in negative one horizontal
Step-by-step explanation:
Mark me brainliest!!
Answer: x + 9x + (9x - 7)
Simplified: 19x - 7
Step-by-step explanation: We see that Abby already starts off with x dolls. We put a 9 infront of the x for the second part of the expression because Lauren has 9 times as many dolls as Abby. Since Betsy has 7 less than Lauren, we take away 7 from 9x. We put that part in parenthesis because that part needs to be done first before we add everything together. Once simplified, we have "19x - 7". (I really tried my best so I hope this is the correct answer!)
Answer:
a)Slope: 
Intercept: 
b) ![r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7625.9%7D%7B%5Csqrt%7B%5B1248.9%5D%5B94228.8%5D%7D%7D%3D0.657)
And the determination coeffecient is 
Step-by-step explanation:
Data given and definitions
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
n=110, 
Part a
The slope is given by this formula:
If we replace we got:
We can find the intercept with the following formula
We can find the average for x and y like this:
And replacing we got:
Part b
In order to calculate the correlation coefficient we can use this formula:
![r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%5Csum%20%28x-%5Cbar%20x%29%28y-%5Cbar%20y%29%20%7D%7B%5Csqrt%7B%5B%5Csum%20%28x-%5Cbar%20x%29%5E2%5D%5B%5Csum%28y-%5Cbar%20y%29%5E2%5D%7D%7D)
For our case we have this:
n=110,
So we can find the correlation coefficient replacing like this:
And the determination coeffecient is
