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jenyasd209 [6]
3 years ago
15

One triangle on a graph has a vertical side of 7 and a horizontal side of 12.

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0
If you are working out the diagonal line you need to use Pythagoras Theroum: c² = a²+b²

c² = 7²+12² = 193
√c² = c = √193 = 13.89

The length of the diagonal side is 13.89,
Hope this helps! :)
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What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

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

<em>(Please refer to the attached image for the table )</em>

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

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4 0
3 years ago
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Substitute the known value of x​ into y=4x+20​. Then solve for y entering the equation in simplest form
scoray [572]

Answer:

y=24, when x=1.

Step-by-step explanation:

Given: y=4x+20

To find: Value of y, substituting the known value of x

We have,

y=4x+20 ...(i)

Putting x=1 in equation (i), we get

y=4(1)+20

\implies y=4+20

\implies y=24  

Hence, the value of y is 24, when the value of x is 1.

8 0
3 years ago
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Aliun [14]

Answer:

14x+19x+8-8

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because 8-8 is 0 always so the answer is 33X

5 0
3 years ago
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Plz help I’ll give brainliest
Nostrana [21]

Answer:

2) 4/5

3) 3

Step-by-step explanation:

2) 4/8-3=4/5

3)5x-4=3x+2

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4 0
3 years ago
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What is the mean absolute deviation of the data set?
neonofarm [45]

Answer:

<u>B. 2</u>

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72 / 8

<u>9</u>

Find how far each number is from 9:

12 - 9 = <u>3</u>

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10 - 9 = <u>1</u>

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9 - 7 = <u>2</u>

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Find the mean of that number set:

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3 + 1 + 1 + 1 + 3 + 2 + 2 + 3

16

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<u>2</u>

<u>So the answer is 2!</u>

Not so hard after all   :D

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3 years ago
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