The correlation coefficient of the data provided is -0.52.
<h3>What is the correlation coefficient?</h3>
Correlation is a measure that is used in statistics to determine the linear relationship that exists between two variables. Correlation can be positive, negative or zero.
Positive correlation is when two variables move in the same direction. Negative correlation is when two variables move in opposite directions. Zero correlation is when there is no relationship between the variables.
Correlation can be determined using a financial calculator. When the financial calculator is used, the correlation coefficient is -0.52
To learn more about negative correlation, please check: brainly.com/question/27246345
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Answer:
(-2,1)
Step-by-step explanation:
I know
Answer:
y=-x+6
Step-by-step explanation:
make it into y=mx+b form
x+y=6
-x -x
y=-x+6
Answer:
Step-by-step explanation:
The best way to do this is to use your LCM and eliminate the fractions. To find the LCM you have to use all the denominators as a multiplier so the denominator in each term cancels out. We will first factor the x-squared term to simplify and see what 2 factors are hidden there.
factors to (x + 2)(x - 2). That means that our 3 denominators that make up our LCM are x(x+2)(x-2). We will mulitply that in to each term in our rational equation, canceling out the denominators where applicable.
![x(x+2)(x-2)[\frac{2}{(x-2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}]](https://tex.z-dn.net/?f=x%28x%2B2%29%28x-2%29%5B%5Cfrac%7B2%7D%7B%28x-2%29%7D%2B%5Cfrac%7B7%7D%7B%28x-2%29%28x%2B2%29%7D%3D%5Cfrac%7B5%7D%7Bx%7D%5D)
In the first term, the (x-2) will cancel leaving us with
x(x+2)[2] which simplifies to
![x^2+2x[2]](https://tex.z-dn.net/?f=x%5E2%2B2x%5B2%5D)
In the second term, the (x+2)(x-2) cancels out leaving us with
x[7].
In the last term, the x cancels out leaving us with
(x+2)(x-2)[5] which simplifies to
![x^2-4[5]](https://tex.z-dn.net/?f=x%5E2-4%5B5%5D)
Now we will distribute through each cancellation:
2x²+4x;
7x;
5x²-20
Putting them all together we have
2x² + 4x + 7x = 5x² - 20
Combining like terms gives us a quadratic:
3x² - 11x - 20 = 0
Factor that however you find it easiest to factor quadratics and get that
x = 5 and x = -4/3
