The option fourth "There is a strong negative relationship between x and y" is correct.
<h3>What is correlation?</h3>
It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
![\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}](https://tex.z-dn.net/?f=%5Crm%20r%20%3D%20%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%7B%5Bn%5Csum%20x%5E2-%20%28%5Csum%20x%29%5E2%5D%7D%7D%5Csqrt%7B%5Bn%5Csum%20y%5E2-%20%28%5Csum%20y%29%5E2%5D%7D%7D)
The options are:
- There is no relationship between x and y.
- There is a weak negative relationship between x and y.
- There is a strong positive relationship between x and y.
- There is a strong negative relationship between x and y.
We have data:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The value of correlation r = -0.9847
As we know the value of r between -1 to +1
If r = 1 (perfect and positive correlation)
if r = -1 (perfect and negative correlation)
We have r = -0.9847
The value is near to -1 which means there is a strong negative relationship between x and y.
Thus, the option fourth "There is a strong negative relationship between x and y" is correct.
Learn more about the correlation here:
brainly.com/question/11705632
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Answer:
![X=85.123m](https://tex.z-dn.net/?f=X%3D85.123m)
![Y=184.88m](https://tex.z-dn.net/?f=Y%3D184.88m)
Step-by-step explanation:
From the question we are told that:
Campfire Bearing from Colonel![x=N 71 \textdegree E](https://tex.z-dn.net/?f=x%3DN%2071%20%5Ctextdegree%20E)
Distance b/w Colonel and Sarge ![Z=235feet](https://tex.z-dn.net/?f=Z%3D235feet)
Campfire Bearing from Sarge
Generally the angles x' and y' are solved
![x'=90 \textdegree-71 \textdegree](https://tex.z-dn.net/?f=x%27%3D90%20%5Ctextdegree-71%20%5Ctextdegree)
![x'=19 \textdegree](https://tex.z-dn.net/?f=x%27%3D19%20%5Ctextdegree)
![y'=90 \textdegree-45 \textdegree](https://tex.z-dn.net/?f=y%27%3D90%20%5Ctextdegree-45%20%5Ctextdegree)
![y'=45 \textdegree](https://tex.z-dn.net/?f=y%27%3D45%20%5Ctextdegree)
Generally the angle z' is solved
Sum of angles of a triangle is 180
Therefore
![z'=180 \textdegree-(19+45) \textdegree](https://tex.z-dn.net/?f=z%27%3D180%20%5Ctextdegree-%2819%2B45%29%20%5Ctextdegree)
![z'=116 \textdegree](https://tex.z-dn.net/?f=z%27%3D116%20%5Ctextdegree)
Generally the sine rule equation for for all distances is mathematically given by
![\frac{Z}{sinz'}=\frac{X}{sinx'}=\frac{Y}{siny}](https://tex.z-dn.net/?f=%5Cfrac%7BZ%7D%7Bsinz%27%7D%3D%5Cfrac%7BX%7D%7Bsinx%27%7D%3D%5Cfrac%7BY%7D%7Bsiny%7D)
Generally the the distance b/w the Colonel and the campfire X is mathematically given as
![\frac{235}{sin116}=\frac{X}{sinx'}](https://tex.z-dn.net/?f=%5Cfrac%7B235%7D%7Bsin116%7D%3D%5Cfrac%7BX%7D%7Bsinx%27%7D)
![\frac{235}{sin116}=\frac{X}{sin19}](https://tex.z-dn.net/?f=%5Cfrac%7B235%7D%7Bsin116%7D%3D%5Cfrac%7BX%7D%7Bsin19%7D)
![X=85.123m](https://tex.z-dn.net/?f=X%3D85.123m)
Generally the the distance b/w Sarge and the campfire X is mathematically given as
![\frac{235}{sin116}=\frac{Y}{siny}](https://tex.z-dn.net/?f=%5Cfrac%7B235%7D%7Bsin116%7D%3D%5Cfrac%7BY%7D%7Bsiny%7D)
![\frac{235}{sin116}=\frac{Y}{sin45}](https://tex.z-dn.net/?f=%5Cfrac%7B235%7D%7Bsin116%7D%3D%5Cfrac%7BY%7D%7Bsin45%7D)
![Y=184.88m](https://tex.z-dn.net/?f=Y%3D184.88m)
Answer:
81°
Step-by-step explanation:
all triangles = 180°
Answer: x - 15 < 2
Step-by-step explanation: x is a variable indicating a number, and since it said decreased by meaning you subtract an then by 15 and less than two
X = miles
Y = inches
1 mile = 63360 inches
Therefore 1X = 63360Y
1 X = X
Awnser:
X = 63360Y
Conversions:
1 foot = 12 inches
1 yard = 3 feet = 36 inches
1 mile = 1760 yards = 5280 feet = 63360 inches