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4 years ago

John drinks 40 ounces of water per day. How many cups of water does John drink per day?

Mathematics

1 answer:

jarptica [38.1K]4 years ago

8 0

Answer:

He drinks 5 cups of water per day.

Step-by-step explanation:

8 ounces = 1 cup

40/8 = 5

5 * 1 = 5 cups

Hope this helps!

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The linear correlation coefficient is $r=1.054$

Explanation:

It is given that $\Sigma x=108$ , $\Sigma y=138$ , $\Sigma x^{2} =1249$ , $\Sigma y^{2} =2280$ and $\Sigma(x y)=1676$

Also, the random sample is $n=10$

The formula to determine the correlation coefficient is given by

$r=\frac{n\left(\sum x y\right)-\left(\sum x\right)(\Sigma y)}{\sqrt{\left[n \sum x^{2}-\left(\sum x\right)^{2}\right]\left[n \Sigma y^{2}-(\Sigma y)^{2}\right]}}$

Substituting the values in the formula, we have,

$r=\frac{10(1676)-(108)(138)}{\sqrt{\left[10(1249)-(108)^{2}\right]\left[10(2280)-(138)^{2}\right]}}$

Simplifying the values, we get,

$r=\frac{16760-14904}{\sqrt{\left[12490-11664\right]\left[22800-19044\right]}}$

Subtracting the values in both numerator and denominator, we have,

$r=\frac{1856}{\sqrt{\left[826\right]\left[3756\right]}}$

Multiplying the denominator,

$r=\frac{1856}{\sqrt{3102456}}$

Simplifying, we have,

$r=\frac{1856}{1761.4}$

Dividing, we get,

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