What conclusion can be determined from the dot plot below? A dot plot showing five dots above 9, six dots above 10, three dots above 11, and one dot above 12.

The number of observations is 10.
The median of the data set is 10.
The mean of the data set is 15.
The range of the data set is 12.

What conclusion can be determined from the dot plot below?

A dot plot showing five dots above 9,

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Ответ:

outlaw93

11.03.2023

Mathematics

First, we are going to rewrite it as a parabola equation.
Rewrite.
8y=-x^2+2x+47

Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

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What conclusion can be determined from the dot plot below? A dot plot showing five dots above 9, six dots above 10, three dots above 11, and one dot above 12. The number of observations is 10. The median of the data set is 10. The mean of the data set is 15. The range of the data set is 12.