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3 years ago

(5, -20)and (3, n) . Find n .

Mathematics

2 answers:

Anna [14]3 years ago

7 0

Answer:

n = -12

Step-by-step explanation:

So here we have to Cross-Multiply:

5 -20

3 n

5(n) = -20(3)

5n = -60

Divide both sides by 5;

n = -12

cricket20 [7]3 years ago

6 0

Step-by-step explanation: To solve this proportion for n, we can use cross products.

Image provided.

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In order for a company's employees to work in a foreign office, they must take a test in the language of the country where they

ArbitrLikvidat [17]

Answer:

$\sum x= 37, \sum y= 672, \sum xy =2907, \sum x^2 =173, \sum y^2 = 51320$

Where:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=173-\frac{37^2}{9}=20.889$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=2907-\frac{37*672}{9}=144.333$

And the slope would be:

$m=\frac{144.333}{20.889}=6.90953$

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

$\bar x= \frac{\sum x_i}{n}=\frac{37}{9}=4.111$

$\bar y= \frac{\sum y_i}{n}=\frac{672}{9}=74.667$

And we can find the intercept using this:

$b=\bar y -m \bar x=74.667-(6.9096*4.111)=46.241$

So the line would be given by:

$y=6.9096 x +46.241$

And for this case the value of the slope m = 6.9096 means that for every increase of 1 unit in the number of years we have an increase of approximately 6.9096 in the grades of the test.

Step-by-step explanation:

Data given:

x: 3, 4, 4, 5, 3, 6, 2, 7, 3

y: 61, 68, 75, 82, 73, 90, 58, 93, 72

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

$\sum x= 37, \sum y= 672, \sum xy =2907, \sum x^2 =173, \sum y^2 = 51320$

Where:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=173-\frac{37^2}{9}=20.889$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=2907-\frac{37*672}{9}=144.333$

And the slope would be:

$m=\frac{144.333}{20.889}=6.90953$

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

$\bar x= \frac{\sum x_i}{n}=\frac{37}{9}=4.111$

$\bar y= \frac{\sum y_i}{n}=\frac{672}{9}=74.667$

And we can find the intercept using this:

$b=\bar y -m \bar x=74.667-(6.9096*4.111)=46.241$

So the line would be given by:

$y=6.9096 x +46.241$

And for this case the value of the slope m = 6.9096 means that for every increase of 1 unit in the number of years we have an increase of approximately 6.9096 in the grades of the test.

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3 years ago

Find the area of the composite figure <br><br> Please help!!

azamat

Answer:

area = 45

Step-by-step explanation:

triangle = 7*6. / 2 = 21

rectangle 4*6=24

24+21= 45ft squared

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4 years ago

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Answer:

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Step-by-step explanation:

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The figure below is made of two identical triangular prisms. What is the volume of the figure?

iogann1982 [59]

Answer:

Please post the figure or image of the triangular prisms.

Step-by-step explanation:

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3 years ago

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mars1129 [50]

<h3>Hello there!</h3><h3>Answer: 1/13</h3>

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There would be only 1 banana because it would complete he amount of fruits in the basket.

In the basket, we know that there are:

1 orange + 5 apples + 4 kiwis + 2 pears = 12

That would be 12 fruits, but there are suppose to be 13 fruits, which means that the remaining 1 fruit would be a banana.

So, that means that the amount of bananas in the basket is 1 out of 13, or 1/13.

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4 0

3 years ago

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