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2 years ago

I need help on this Pythagorean Theorem question would be nice if somebody helped quick

Mathematics

2 answers:

lina2011 [118]2 years ago

8 0

Answer:

Step-by-step explanation:

5^2 + 5^2 = x^2

25 + 25 = x^2

50 = x^2

$\sqrt{50}$ = x, 5 $\sqrt{2}$

x = approximately 7.07

valentinak56 [21]2 years ago

5 0

Answer:

Exact: SQRT 50

Approx: 7.07

Step-by-step explanation:

you take both of the 5s and square them.

So 5*5=25 and 5*5 is 25. Since the right angle is opposite the side you are trying to find you add those together to get 50. Then you take the SQRT of 50 because you are trying to solve for x via the pythagorean theorem.

So the exact is SQRT 50

and the approx is 7.07

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a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

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Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

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Wehre

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And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

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And the slope would be:

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And we can find the intercept using this:

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And the line would be:

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Part b

The correlation coefficient is given by:

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

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

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