Correlation coefficient helps us to know how strong is the relation between two variables. The strength of the model is a strong positive correlation.
<h3>What is the correlation coefficient?</h3>
The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
- 1 indicates a strong positive relationship.
- -1 indicates a strong negative relationship.
- A result of zero indicates no relationship at all, therefore, independent variable.
Hence, the strength of the model is a strong positive correlation.
Learn more about Correlation Coefficients:
brainly.com/question/15353989
Answer:
40
Step-by-step explanation:
Answer:
B) E,X
Step-by-step explanation:
Each point can be calculated by counting each point that is away from the origin located a (0,0)
E is located at (5,0) and X is located at (0,5); both of which is 5 units away from the origin
I think you use
xamount(1-.8)
.8 being 80% as a decimal.
1 being 100%
so .2 or 20% remaining multiplied by whatever amount.
Answer:
![MN=16.4\ units](https://tex.z-dn.net/?f=MN%3D16.4%5C%20units)
Step-by-step explanation:
step 1
Find PN
we know that
PN is a diameter
PS is a radius
![PS=10\ units](https://tex.z-dn.net/?f=PS%3D10%5C%20units)
so
![PN=2*PS=2*10=20\ units](https://tex.z-dn.net/?f=PN%3D2%2APS%3D2%2A10%3D20%5C%20units)
step 2
Find the measure of arc MP
![arc\ MN+arc\ MP=180\°](https://tex.z-dn.net/?f=arc%5C%20MN%2Barc%5C%20MP%3D180%5C%C2%B0)
![arc\ MN=110\°](https://tex.z-dn.net/?f=arc%5C%20MN%3D110%5C%C2%B0)
![arc\ MP=180\°-110\°=70\°](https://tex.z-dn.net/?f=arc%5C%20MP%3D180%5C%C2%B0-110%5C%C2%B0%3D70%5C%C2%B0)
step 3
Find the measure of angle MNP
we know that
The inscribed angle measures half that of the arc comprising
![](https://tex.z-dn.net/?f=%3CMNP%3D%5Cfrac%7B1%7D%7B2%7D%28arc%5C%20MP%29)
substitute the value
![](https://tex.z-dn.net/?f=%3CMNP%3D%5Cfrac%7B1%7D%7B2%7D%2870%5C%C2%B0%29%3D35%5C%C2%B0)
step 4
Find the measure of angle MPN
we know that
The inscribed angle measures half that of the arc comprising
![](https://tex.z-dn.net/?f=%3CMPN%3D%5Cfrac%7B1%7D%7B2%7D%28arc%5C%20MN%29)
substitute the value
![](https://tex.z-dn.net/?f=%3CMNP%3D%5Cfrac%7B1%7D%7B2%7D%28110%5C%C2%B0%29%3D55%5C%C2%B0)
step 5
Find the measure of angle NMP
The sum of the internal angles of a triangle must be equal to 180 degrees
![](https://tex.z-dn.net/?f=%3CNMP%2B55%5C%C2%B0%2B35%5C%C2%B0%3D180%5C%C2%B0)
![](https://tex.z-dn.net/?f=%3CNMP%3D90%5C%C2%B0)
therefore
The triangle MNP is a right triangle
step 6
Find the length MN
In the right triangle MNP
![sin(](https://tex.z-dn.net/?f=sin%28%3CMPN%29%3D%5Cfrac%7BMN%7D%7BPN%7D)
substitute the values
![sin(55\°)=\frac{MN}{20}](https://tex.z-dn.net/?f=sin%2855%5C%C2%B0%29%3D%5Cfrac%7BMN%7D%7B20%7D)
![MN=(20)sin(55\°)=16.4\ units](https://tex.z-dn.net/?f=MN%3D%2820%29sin%2855%5C%C2%B0%29%3D16.4%5C%20units)