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Naya [18.7K]
3 years ago
6

Find the standard deviation of the data, 12, 19, 9.

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

4.19

Step-by-step explanation:

Find the mean:

\text{Mean}=\frac{12+19+9}{3}=\frac{40}{3}

Find the standard deviation:

\text{Standard Deviation}=\sqrt{\frac{(12-\frac{40}{3})^2+(19-\frac{40}{3})^2+(9-\frac{40}{3})^2}{3}}=\sqrt{\frac{158}{9}}\approx4.19

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2.
cupoosta [38]

Answer:

<em>Measure of angle B: 76°</em>

<em>Measure of angle C: 76°</em>

<em>Measure of angle A: 28°</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

x = measure of angle B

Since angle B is congruent with angle C:

x = measure of angle C

The sum of the angles in a triangle is 180°:

180 - x - x = 180 - 2x = measure of angle A

It's given the measure of angle B is 20 more than twice the measure of angle A, thus:

x = 20 + 2(180 - 2x)

Operating the parentheses:

x = 20 + 360 - 4x

Adding 4x:

5x = 380

Dividing by 5:

x = 380/5

x = 76°

Measure of angle B: 76°

Measure of angle C: 76°

Measure of angle A: 180 - 2*76°= 28°

4 0
3 years ago
Find the length of a rectangle given that the perimeter is 192 feet and the length is 3 times the width.
djyliett [7]

Answer:

The length is 72 feet.

Step-by-step explanation:

<em>Equations</em>

2L+2W=192

L=3W

<em>Solving/Substitution</em>

2(3W)+2W=192

8W=192

W=192/8=24

L=24*3=72

The length is 72 feet.

The width is 24 feet.

<em />

6 0
3 years ago
Is 6z-15 is greater than or less than 4z+11 solvable?
Alenkasestr [34]
6z -15  \geq  4z+11 \\\\ 6z-4z \geq  11+15 \\\\ 2z \geq 26 \ |:2 \\\\ z \geq  13 \\\\ \boxed{x=[13;\infty)}
6 0
4 years ago
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What is the slope of the line y= 7x - 8?
weqwewe [10]
y=mx+b\\\\slope\ is\ m\\\\\\y=7x-8\\\\slope\ i\n\ m=7
5 0
3 years ago
Owen uses colored pencils on his homework assignment. His red pencil is 12.195 centimeters long. His blue pencil is 9.13 centime
Reptile [31]

Answer:

21.325 is the correct answer

<h3></h3><h3>please gimme brainliest :))!!</h3>
6 0
4 years ago
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