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3 years ago

What is the answer to: y=-2x-5,4x+3y=15 using substitution to solve it..??

Mathematics

1 answer:

MrRa [10]3 years ago

4 0

Answer:

Step-by-step explanation:

Plug the first equation into the second

$4x+3(-2x-5)=15\\4x-6x-15=15\\-2x=30\\x=-15$

y=-2(-15)-5

=30-5

=25

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If the standard deviation of a set of data is zero, what can you conclude about the set of values? The sum of the deviations fro

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Answer:

All values are identical.

Step-by-step explanation:

We are given the following in the question:

If the standard deviation of a set of data is zero.

Then, all the values in data are identical.

This can be shown as:

Let all the terms in data be x.

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{nx}{n} = x$

Sum of squares of differences =

$\displaystyle\sum (x_i - x)^2 = 0$

$\sigma = \sqrt{\frac{0}{n}} = 0$

Thus, the correct answer is

All values are identical.

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4 years ago

Someone please help! I gave this extra points because the question has a picture. I will give thanks and 5 star for any answer.

tiny-mole [99]

Answer:

53°

Step-by-step explanation:

x + (2x + 21) = 180

(Corresponding angles &

Supplementary angles)

3x + 21 = 180

3x = 159

x = 53°

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