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Dimas [21]
3 years ago
6

yuma needs a singer. singer A is offering her services for an initial $50 in addition to $20 per hour. singer B is offering his

services for an initial $100 in addition to $10 per hour.when will the two singers charge the same amount of money
Mathematics
1 answer:
Damm [24]3 years ago
7 0
50 + 20h = 100 + 10h
20h - 10h = 100 - 50
10h = 50
h = 50/10
h = 5 <== they will charge the same at 5 hrs
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What percent of 500 is 50?​
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Step-by-step explanation:

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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:

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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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