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Nikolay [14]
3 years ago
7

I will mark brainlest please help!!!!

Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0

Answer:

m∠T = 45°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

∠S + ∠T + ∠U = 180°

2x + 10 + 3x - 9 + 6x - 19 = 180

11x - 18 = 180

11x = 180 + 18

    = 198

x = 198 ÷ 11

x = 18

m∠T = 3x - 9

        = 3(18) - 9

        = 54 - 9

m∠T = 45°

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Answer:

a) y=0.00991 x +1.042  

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

Step-by-step explanation:

Data given

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

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S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625  

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Nowe we can find the means for x and y like this:  

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\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7  

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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

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

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