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2 years ago

7

Find the standard form of the equation of the circle with endpoints of a diameter at the points (5,6) and (-1,8)

1 answer:

netineya [11]2 years ago

3 0

Very interesting problem

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A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa

Aleksandr [31]

Answer:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

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

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

Where:

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

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

So we can find the sums like this:

$\sum_{i=1}^n x_i =60$

$\sum_{i=1}^n y_i =553$

$\sum_{i=1}^n x^2_i =582$

$\sum_{i=1}^n y^2_i =39653$

$\sum_{i=1}^n x_i y_i =4329$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

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

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91$

So the line would be given by:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

4 0

4 years ago

4*10^6 is how many times as large as 1*10^4?

maxonik [38]

So you want to know how many times $4*10^6$ fits inside $1*10^4$ , if so, here's the answer:

First we see that $4*10^6$ is equal to <span>4,000,000, and</span> $1*10^4$ is equal to 10,000.

Then we divide $\frac{4,000,000}{10,000}$ , and we get 400, so.

The answer is 400.

Hope this helped! c:

6 0

3 years ago

What is ausrdi unscrambled

oee [108]

Ausrdi scrambled is radius

5 0

3 years ago

Identify the range for the data summarized on the boxplot.

andrey2020 [161]

Answer:

21

Step-by-step explanation:

33-12=21

4 0

3 years ago

Read 2 more answers

Prove that the value of expression 9^7+3^12 is divisible by 90.

snow_tiger [21]

9^7=4782969 and 3^12=531441 and when you add 4782969 and 531441 together you get 5314410. Then divide that number by 90 and get 59049

3 0

3 years ago