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2 years ago

-x-3y=-1 -x-3y=2 what do the two equations represent

Mathematics

1 answer:

murzikaleks [220]2 years ago

8 0

Answer:

Step-by-step explanation:

-x - 3y = -1

-3y = x - 1

y = -1/3x + 1/3.....slope here is -1/3 and y int is 1/3

-x - 3y = 2

-3y = x + 2

y = -1/3x - 2/3...slope here is -1/3 and y int is -2/3

these two equations represent parallel lines. Equations that have the same slope and different y intercepts mean the lines are parallel and never cross each others path.

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ale4655 [162]

Answer:

The sample mean is $\bar{x}=14.371$ min.

The sample standard deviation is $\sigma = 18.889$ min.

Step-by-step explanation:

We have the following data set:

$\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}$

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The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }$

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Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982$

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3 years ago

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