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Inga [223]
3 years ago
7

What is greater 7/10 or 3/6? please show work

Mathematics
2 answers:
Delicious77 [7]3 years ago
7 0
<u>7 </u> x <u>6</u>  = <u>42</u>
10   6     60 
<u>
3 </u> x <u>10</u> = <u>30</u>
6     10    60
<u>
42</u> > <u>30</u><u>
</u>60    60
 so
7/10 > 3/6
vovikov84 [41]3 years ago
3 0
What you need to do is make sure the denominators are the same so multiply 7/10 by 6. It should now be 42/60. Next multiply 3/6 by 10. It should now equal 30/60. 7/10 = 42/60. 3/6 = 30/60. 7/10 is greater. I hope this was somewhat helpful :3
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r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

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Now we can calculate the determination coeffcient:

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Step-by-step explanation:

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

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

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

\bar x= \frac{\sum x_i}{n}

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

And we can find the intercept using this:

b=\bar y -m \bar x

And the model obtained for this case is:

y = -3.4 +5.2 x

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:  

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 this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

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3 years ago
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