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mariarad [96]
3 years ago
6

X+2y=4 -x-2y=-4the solutions ​

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

subtract equations to form the equation of:

2x + 2y = 8

rearrange first equation to make x the subject:

x = 4 - 2y

subsitute into 2x + 2y = 8

2 (4 - 2y) + 2y = 8

8 - 4y + 2y = 8

collect like terns

-2y + 8 = 8

8s cancel out

-2y = 0

divide by -2

<u>y</u><u> </u><u>=</u><u> </u><u>0</u>

substitute y value into x + 2y = 4

x + 2 (0) = 4

solve for x

x + 0 = 4

<u>x</u><u> </u><u>=</u><u> </u><u>4</u>

therefore, the solutions are:

<h3><u>x</u><u> </u><u>=</u><u> </u><u>-</u><u>4</u></h3><h3><u>y</u><u> </u><u>=</u><u> </u><u>0</u></h3>

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Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

<h3>What are the variance and standard deviation?  </h3>

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

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mean = 2150

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Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

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