Answer:
Function.
Step-by-step explanation:
A relation is a function every x that in your domain only gets assigned to exactly one number in your range.
Basically if you have a set of points and you see that the same x is being used more than once, then it isn't a function (unless for some reason they repeated the same point).
So the x's I see in the order that your points are is 3,1,-1,-2. All of these x's are different so it is a function.
Answer:
corresponding angles
the angles are equal
equation: 9x+8 = 4x+18
x=2
angle measurements: 26⁰
Step-by-step explanation:
solve your equation
9x+8 = 4x+18
subtract 4x from each side
5x + 8 = 18
subtract 8 from each side
5x = 10
divide by 5
x = 2
insert x=2 into original equations to make sure you get the same answer.
9(2) + 8 = 26
4(2) + 18 = 26
Answer:
Step-by-step explanation:
Hello!
a.
Given the data corresponding the variables:
x 2 6 6 7 9
y 3 2 6 9 5
The Scatterplot is attached.
b.
To compute the correlation coefficient you need several auxiliary calculations:
∑X= 30
∑X²= 206
∑Y= 25
∑Y²= 155
∑XY= 162
![r= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{\sqrt{[sumX^2-\frac{(sumX)^2}{n} ][sumY^2-\frac{(sumY)^2}{n} ]} }](https://tex.z-dn.net/?f=r%3D%20%5Cfrac%7BsumXY-%5Cfrac%7B%28sumX%29%28sumY%29%7D%7Bn%7D%20%7D%7B%5Csqrt%7B%5BsumX%5E2-%5Cfrac%7B%28sumX%29%5E2%7D%7Bn%7D%20%5D%5BsumY%5E2-%5Cfrac%7B%28sumY%29%5E2%7D%7Bn%7D%20%5D%7D%20%7D)
![r= \frac{162-\frac{(30)*(25)}{5} }{\sqrt{[206-\frac{(30)^2}{5} ][155-\frac{(25)^2}{5} ]} }](https://tex.z-dn.net/?f=r%3D%20%5Cfrac%7B162-%5Cfrac%7B%2830%29%2A%2825%29%7D%7B5%7D%20%7D%7B%5Csqrt%7B%5B206-%5Cfrac%7B%2830%29%5E2%7D%7B5%7D%20%5D%5B155-%5Cfrac%7B%2825%29%5E2%7D%7B5%7D%20%5D%7D%20%7D)
r= 0.429 ≅ 0.43
c.
The critical value for r has n-2 degrees of freedom, let's say for example you have α:0.05

For a two-tailed test.
Because the correlation coefficient is <u>positive</u> and the absolute value of the correlation coefficient, _<u>0.43</u>___, is <u>not greater</u> than the critical value for this data set,_<u>0.878</u>__, <u>no </u>linear relationship exists between x and y.
I hope it helps!
Answer: x = 2
<u>Intersecting Chords states</u>:
⇒ 6 × x = 3 × (x + 2)
⇒ 6x = 3x + 6
⇒ 6x - 3x = 6
⇒ 3x = 6
⇒ x = 2