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Aleksandr-060686 [28]
3 years ago
8

Write the complex numbers in standard form: 5/ 8-i

Mathematics
1 answer:
dedylja [7]3 years ago
5 0

Answer:

a+bi

\frac{8}{13}  +  \frac{i}{13}

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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
What is 10 +10×2÷8+5​
Anna [14]

Answer:

just use a calculator next time 17.5

Step-by-step explanation:

its 17.5 my dude

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The answer is 3.83 !
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The difference between the third and first quartiles in a data set, representing the middle half of
pav-90 [236]

Answer:

Interquartile range

Step-by-step explanation:

The interquartile range gives the middle half of a dataset. It is obtained by subtractionng the value of the lower quartile (Q1) from the value of the upper quartile(3rd quartile).

Interquartile range (IQR) = Q3 - Q1

WHERE ;

Q3 = 3/4 * (n+1)th term and the first quartile (Q1) is given as ;

Q1 = 1/4 * (n+1)th term

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6 0
3 years ago
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