$n-2=10n+42\qquad\text{add 2 to both sides}\\\\n=10n+44\qquad\text{subtract 10n from both sides}\\\\-9n=44\qquad\text{divide both sides by (-9)}\\\\\boxed{n=-\dfrac{44}{9}}$

8 0

3 years ago

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Mathematically verify the outlier(s) in the data set using the 1.5 rule.

statuscvo [17]

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

$Q_1=\dfrac{11+13}{2}$

$Q_1=\dfrac{24}{2}$

$Q_1=12$

And

$Q_3=\dfrac{16+16}{2}$

$Q_3=\dfrac{32}{2}$

$Q_3=16$

The interquartile range is:

$IQR=Q_3-Q_1$

$IQR=16-12$

$IQR=4$

The data values lies outside the interval $[Q_1-1.5IQR,Q_3+1.5IQR]$ are known as outliers.

$[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]$

$[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]$

$[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]$

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

3 0

3 years ago

Does a polygon usually have more sides or <br> more angles

xxTIMURxx [149]

I've seen this question on Brainly before, and I always shake my head.

Please think about this for a few seconds. Maybe even make some
scribbles on a piece of paper.

-- A triangle has 3 sides and 3 angles.

-- A square, rectangle, rhombus or parallelogram has 4 sides and 4 angles.

-- Draw anything with 5 sides. It doesn't have to be pretty, and they don't
all have to be the same length or anything special. Just draw any shape
with 5 sides. Count the angles, and you'll find that there are five of them.

By now you should be starting to get the creepy hunch that maybe a
polygon always has the SAME number of sides and angles. I hope so.
That's the correct creepy hunch.

You can get all kinds of hunches, and even work most of them out,
just by using your thinker for a while.

5 0

3 years ago

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