(13z + 8) = 4y + 112

Mathematics

1 answer:

Serga [27]3 years ago

7 0

the answer is

y=13/4z-26

13z+8=4y+112

Step 1: Flip the equation.

4y+112=13z+8

Step 2: Add -112 to both sides.

4y+112+−112=13z+8+−112

4y=13z−104

Step 3: Divide both sides by 4.

13z−104

z−26

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A researcher determines that students are active about 60 + 12 (M + SD) minutes per day. Assuming these data are normally distri

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Answer:

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Step-by-step explanation:

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The distribution of these z-variate is known as the standard normal distribution.

The mean and standard deviation of the active minutes of students is:

μ = 60 minutes

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3 years ago

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The correct option will be: C) 0.84

Explanation

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

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

(Please refer to the attached image for the table )

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

$r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84$