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3 years ago

If the variance of a variable is 16, what is the standard deviation?

Mathematics

1 answer:

IrinaVladis [17]3 years ago

5 0

Answer:

Standard deviation=4

Step-by-step explanation:

Standard deviation = square root of variance

Standard deviation=√variance

Variance=standard deviation square

Variance=standard deviation^2

From the question

Variance=16

Standard deviation=?

Standard deviation=√variance

=√16

Standard deviation=4

check:

If standard deviation=4

Variance=standard deviation^2

=4^2

=16

Therefore,

Standard deviation=√variance

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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

2 years ago

There are many cylinders with a height of 9 inches. Let R represent the radius in inches and V represent the volume in cubic inc

PtichkaEL [24]

Answer:

R V

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3 81π in³

Step-by-step explanation:

For, r = 1

V = π(1)²9 = 9π in³

For, r = 2

V = π(2)²9 = 4*9π in³ = 36π in³

For r = 3

V = π(3)²9 = 9*9π in³ = 81π in

R V

1 9π in³

2 36π in³

3 81π in³

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2 years ago

What is the value of t?

inna [77]

Answer:

4.56

Step-by-step explanation:

After this equation is simplified, it is solved the way any 1-step linear equation is solved.

1.4t -0.4(t -3.1) = 5.8 . . . . . . given

1.4t -0.4t +1.24 = 5.8 . . . . . eliminate parentheses

t +1.24 = 5.8 . . . . . . . . . collect terms (now you have a 1-step equation)

t = 4.56 . . . . . . . . . .subtract 1.24

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2 years ago

24 students brought her permission slips to attend the class field trip is this represent at 8:10 to the class how many students

OlgaM077 [116]

Answer:

30 students

Step-by-step explanation:

24 over 80 is equal to x over 100

cross multiply and you get

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add an extra sero

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3 years ago

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olga55 [171]

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2 years ago

If the variance of a variable is 16​, what is the standard​ deviation?

If the variance of a variable is 16, what is the standard deviation?