Calculate the standard deviation of the data set below. (7, 9, 10, 11, 13) The standard deviation is 4. The standard deviation is 2. The standard deviation is 10.

Answers

Answer 1

Answer:

"The standard deviation is 2"

Step-by-step explanation:

To get Standard Deviation (SD), we follow the steps shown below:

We need to find the difference of each number from the mean and then square it. Then take the sum of all of these values. Then divide by the number of numbers. Then take square root of that.

The mean is summing up all the numbers and dividing by the number of numbers. Hence, mean is  [tex]\frac{7+9+10+11+13}{5}=10[/tex]

Now,  [tex](7-10)^2 + (9-10)^2 + (10-10)^2 + (11-10)^2  +(13-10)^2\\=9+1+0+1+9\\=20[/tex]

Then,  [tex]\frac{20}{5}=4[/tex]

Next,  [tex]\sqrt{4} \\=2[/tex]

So, the standard deviation is 2

Answer 2

Answer:

The standard deviation is 2.

Step-by-step explanation:

The standard deviation of 7, 9, 10, 11, 13

We first calculate the mean

Mean = (7+9+10+11+13)/5

         = 10

Then we find the deviation of the values from the mean,

= (7-10), (9-10), (10-10), (11-10), (13-10)

= -3, -1, 0, 1, 3

The we get the square of deviations;

=  (-3)², (-1)², 0², 1², 3²

= 9, 1, 0, 1, 9

We then get the sum of the square of deviations

=  9 + 1 + 0 + 1 + 9

= 20

Standard deviation = √(sum of the square of deviations/(x-1))

                                = √(20/(5-1)

                                = √5

                                = 2.2

Therefore; The standard deviation is 2


Related Questions

PLEASE ANSWER ASAP!!!


How do states with no personal income tax raise money money for public services?

Answers

Answer:

States with no personal income tax raise money for public services through their property tax.

Step-by-step explanation:

Answer:

States with no personal income tax raise money for public services through their property tax.

Step-by-step explanation:

Step-by-step explanation:

A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a six-pack Of juice cans?

Answers

It was a cylinder shape

volume of cylinder is

[tex] = \pi {r}^{2} h[/tex]

Radius of the can

=6.6÷2

=3.3

Volume of 6 can

[tex]6(3.142 \times {3.3}^{2} \times 12.1) \\ = 6(3.142 \times 10.89 \times 12.1) \\ = 6(34.21638 \times 12.1) \\ = 6(414.018198) \\ = 2484.109188 \\ = 2484.11 \: (2d.p.)[/tex]

Answer

2484.11

Four less than the product of 5 and a number is equal to 9 . Use the variable (w) for the unknown number

Answers

Answer:

w = 13/5

Step-by-step explanation:

The equation is : 5w-4=9

Then we add 4 to each side

5w = 13

Then we divide by 5

w = 13/5

The diameter of your bicycle wheel is 34 inches. What is it’s radius

Answers

Answer:

17 inches

Step-by-step explanation:

1/2(diameter)=radius

1/2(34)=radius

17 inches

Which of the following graphs is decreasing for all values of x?

A. X
B. Y
C. Z
D. W

Answers

Answer:

y

Step-by-step explanation:

please give branleist

Graph-Y is decreasing from the beginning for all the values of 'x'.

What is the graph of an equation?

The graph of an equation represents the nature of that equation by plotting the points.

Four graphs W, X, Y, and Z are given.

1. Graph-W is constant up to a certain values of 'x'. After that it is increasing for the rest of the values of 'x'.

2. Graph-X is increasing from the beginning. After that it is constant for certain values of 'x'. Then the graph is increasing.

3. Graph-Y is decreasing from the beginning for all the values of 'x'.

4. Graph-Z is increasing from the beginning. After that it is decreasing.

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Circle A has radius 4 feet. Circle B has radius 9 feet. What is the ratio of the area of circle A to the area of circle B?

23

49

827

1681

Answers

Answer:

[tex]\large\boxed{\dfrac{16}{81}}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

Circle A:

radius = 4 ft. Substitute:

[tex]A_A=\pi(4^2)=16\pi\ ft^2[/tex]

Circle B:

radius = 9 ft. Substitute:

[tex]A_B=\pi(9^2)=81\pi\ ft^2[/tex]

The ratio:

[tex]\dfrac{A_A}{A_B}=\dfrac{16}{81}[/tex]

Solve x/3 = x+2/2
x=?

Answers

Answer:

x = -6

Step-by-step explanation:

∵ [tex]\frac{x}{3}=\frac{x+2}{2}[/tex]

* These are two equivalent fractions

  we can solve by using cross-multiplication way

  that means we multiply x by 2 and multiply (x + 2) by 3

∴ 2(x) = 3(x + 2)

* Take care about the multiplication of 3(x + 2) you must

  multiply 3 by x and also multiply 3 by 2

∴ 2x = 3x + 6

* Now lets start to collect the like terms

∴ 2x - 3x = 6

∴ -x = 6

* Divide the both sides by -1

∴ x = -6

x = -3/2 (Or) x = -1.5

First apply the rule a/a = 1

2/2 = 1

x/3 = x +1

Multiply both sides by 3

(x/3 * 3) = (x * 3) + (1 * 3)

Simplify

x = 3x + 3

Subtract 3x from both sides

(x - 3x) = (3x + 3 - 3x)

Simplify

-2x = 3

Divide both sides by -2

(-2x / -2) = (3 / -2)

Simplify

x = -3/2

(Decimal: x = -1.5)

Which of the following statements is false?

Answers

Answer:

A

Step-by-step explanation:

Volume and capacity measure the same idea. They each describe how much something can hold. Volume measures it in cubic units while capacity measures it in ounces, liters, etc. It can be almost any measurement. They will not have the same measurement type or number since each measurement will give different numbers.

The ratio of the perimeters of two rectangles is 5 to 8 . the perimeter of the larger rectangle is 72 inches. What is the perimeter of the smallest triangle?

Answers

ANSWER

45 inches.

EXPLANATION

Let the perimeter of the smaller rectangle be x.

Then, the ratio of the perimeter of the smaller rectangle to the larger rectangle is

[tex]x:72=5:8[/tex]

We change the ratio to fraction to obtain,

[tex] \frac{x}{72} = \frac{5}{8} [/tex]

Multiply both sides by 72.

[tex]x = \frac{5}{8} \times 72[/tex]

[tex]x = 5 \times 9 = 45[/tex]

The perimeter of the smaller rectangle is 45 inches.

Answer:

45 inches

Step-by-step explanation:

The 72 inches is 8 parts of the ratio, hence

[tex]\frac{72}{8}[/tex] = 9 inches ← 1 part of the ratio

5 parts = 5 × 9 = 45 inches ← smaller perimeter

NEED HELP PLZ
Paul pays property tax in Dallas. On which of the
following might Paul pay property tax?
A clothing
B office space
C groceries
D salary

Answers

Answer:

B office space.

Step-by-step explanation:

What it says is Paul pays property tax. Property will be a building of some sort so office space is your answer.

Erica is cutting out snickerdoodle cookies with a circular cutter. The cutter has a diameter of 4 centimeters. What is the cutter's radius?

Answers

The radius is one half of the diameter.

Divide the diameter by 2 for the radius.

Radius = 4 centimeters / 2 = 2 centimeters.

Answer:

2 centimeters

Step-by-step explanation:

Circle

r=2cm

Using the formula

d=2r

Solving for r=d

2=2cm

please help

Jen slices a cone with a height of 10 centimeters and a radius of 4 centimeters using a plane that is perpendicular to the base and that passes through the vertex of the cone. What is the area of the cross-section in square centimeters?

Answers

A cone that is sliced through the vertex would make the shape of a triangle.

You are told the h eight is 10 cm and the radius is 4 cm.

The radius would be half the base, so the base would be 4 * 2 =8 cm.

The area of the triangle is found by multiplying the base by the height, then dividing by two.

Area = 8 x 10 = 80

80 / 2 = 40 square centimeters.

Answer:

A cone that is sliced through the vertex would make the shape of a triangle.

You are told the h eight is 10 cm and the radius is 4 cm.

The radius would be half the base, so the base would be 4 * 2 =8 cm.

The area of the triangle is found by multiplying the base by the height, then dividing by two.

Area = 8 x 10 = 80

80 / 2 = 40 square centimeters.

Step-by-step explanation:

a factory buys the boxes it needs to form of flat nets. What advantages might the factory have in doing t his?

Answers

THE ADVANTAGE IS: They can store more containers for higher stocks and space.

what is the scale factor​

Answers

Answer:

The scale factor is 1/3

What is the measure of an arc intercepted by an inscribed angle whose measure is 88 degrees
44
88
176
None of the above

Answers

Answer:

[tex]176\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

In this problem

Let

x-----> the measure of an arc intercepted by an inscribed angle

[tex]88\°=\frac{1}{2}(x)[/tex]

[tex]x=2(88\°)=176\°[/tex]

Option (C) The intercepted arc of an inscribed angle measuring 88 degrees has a measure of 176 degrees, which is twice the size of the inscribed angle according to the Angular Measurement of Arcs property.

The measure of an arc intercepted by an inscribed angle is twice the measure of the inscribed angle. Given that the inscribed angle measures 88 degrees, the intercepted arc would therefore measure 176 degrees. This is because according to the Angular Measurement of Arcs property, an arc's measure is twice that of its corresponding inscribed angle (Theorem 7 in the reference material).

Macy was asked to compare the two ratios 4:5 and 19 to 30.

Answers

The correct answer is C, 4:5 would be equivalent to 24/30, because 30 divided by 5 is equal to 6, so you would multiply the numerator and denominator by the same number.

Answer:

Macy did not find the correct equivalent fraction with denominator 30.

Step-by-step explanation:

We need to compare two ratios 4:5 and 19:30.

First we will write them in the form of fraction:

[tex]\displaystyle\frac{4}{5} \text{ and } \displaystyle\frac{19}{30}[/tex]

Now, in order to compare these ratios, we fave to make their denominators equal that is find equivalent fraction with denominator 30.

[tex]\displaystyle\frac{4\times 6}{5\times 6} \text{ and } \displaystyle\frac{19}{30}[/tex]

[tex]\displaystyle\frac{24}{30} \text{ and } \displaystyle\frac{19}{30}[/tex]

Now, we have to compare the two fractions on the basis of their numerators.

It is clear that:

[tex]\displaystyle\frac{24}{30} > \displaystyle\frac{19}{30}[/tex]

What are the x and y intercepts of y=x^2+3x-10 (show all steps please)

Answers

Answer:

X-int: (2,0) , (-5,0)

Y-int: (0,-10)

Step-by-step explanation:

To solve for the x-int, set y to 0.

0= x^2 + 3x - 10

0= (x-2)(x+5)

x= 2, and -5

To solve for the y-int, set x to 0.

y= (0)^2 + 3(0) - 10

y= -10

what series of transformation from ∆ ABC to ∆ DEF shows that ∆ ABC =~∆ DEF​

Answers

Reflection? I'm not sure

It is reflection, I took a mini quiz on this

-2x+15y=-24
2x+9y=24
solve the system of equation

Answers

Answer:

x = 12, y = 0

Step-by-step explanation:

Use elimination.

24y = 0

y = 0

Then plug back into the second equation.

2x + 9(0) = 24

2x = 24

x = 12

Plug back into the first equation to check.

Question 3 mathematics

Answers

Answer:

Part a) The area of the shaded region is [tex]41\ ft^{2}[/tex]

Part b) The area of the nonshaded region is [tex]87\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The total area is equal to the area of the shaded region plus the area of the nonshaded region

step 1

Find the total area  

The total area is equal to the area of the rectangle

[tex]A=8(16)=128\ ft^{2}[/tex]

step 2

Find the area of the shaded region

The area of the shaded region is equal to the area of the  trapezoid minus the area of the smaller square

so

[tex]A=\frac{1}{2}[(8-2)+3)](8+2) -2^{2} \\ \\A=\frac{1}{2}[9](10) -4\\ \\A=41\ ft^{2}[/tex]

step 3

Find the area of the nonshaded region

The area of the nonshaded region is equal to the total area minus the area of the shaded region

so

[tex]A=128\ ft^{2}-41\ ft^{2}=87\ ft^{2}[/tex]

write a division equation to represent the repeated subtraction for 32 take away 8 is 24​

Answers

Answer:

32÷8

Step-by-step explanation:

Division is like repeated subtraction

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The problem that would repeatedly take away 8 from 32 is 32÷8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The same is true for 25÷5, it is asking how many times can 5 be taken away from 25, hence repeated subtraction

a shop rents out bikes for $12 a day and also charges for $9 an hour for people to use.if chimmy chong rented a bike and the total bill came out to be $75, for how long did he rent the bike out for?​

Answers

He rented the bike for 7 hours.

75-12=63
63/9=7

Answer:

7 Hours

Step-by-step explanation:

$75-$12 per day is 63

$63 divided by $9 per hours is 7

Hope this helps and have a blessed day!

You move down 3 units and up 7 units. You end at (-5, 2). Where did you start?

Answers

Answer: (-5, -2) is where you started.

The difference between 48 and 13 algebra numeral expression.

Answers

Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.

Numerical Expression

"Difference" indicates that we'll be subtracting 13 from 48.

48 - 13 = 35

Algebraic Expression

Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.

48 - 13 = d

35 = d

Help me with this !!!!!!

Answers

Answer:

Step-by-step explanation:

What is the solution of the system of equations?

y = x - 10

y = 2x + 5

Answers

Final answer:

To solve the system of equations y = x - 10 and y = 2x + 5, we equate both expressions for y, solve for x, and find x = -15. Substituting x back into either equation gives y = -25, making the solution (x, y) = (-15, -25).

Explanation:

The question seeks the solution of the system of equations given by y = x - 10 and y = 2x + 5.

To find the solution, one can use the substitution method, where the expression for y in one equation is substituted into the other equation.

This gives us two equations stated to have the same value of y, which means they can be set equal to each other: x - 10 = 2x + 5.

Solving this equation for x involves moving x terms to one side and constants to the other, yielding x = -15. Substituting x back into either original equation (e.g., y = x - 10), we find y = -25.

Thus, the solution to the system of equations is x = -15 and y = -25.

Please help me answer this question!!! and explain bc im very stupid and my grades are low. 15 points

Answers

Answer:

17

Step-by-step explanation:

The top angle is 90 degrees, so I would assume that m<1 is 90 degrees.  Plugging this into the equation gives us 90 = 4y + 22.  Subtract 22 from both sides, and we get 68 = 4y.  Divide both sides by 4, and we get 17 = y.

Select all that apply

Which of the following names a ray in the drawing

Answers

Answer:

CB And A F

Step-by-step explanation:

Answer:

The answer is CB.

Step-by-step explanation:

A ray is a line that starts from a point and travels in a particular direction to infinity.

Here, CB is the ray as it is originating from a point C and travelling up to infinity in a single direction beyond B.

The ray is represented by a arrow in one direction.

solve this equation for x. round your answer to the nearest 0 = ln (x+6)

Answers

Answer: [tex]x=-5[/tex]

Step-by-step explanation:

To solve this exercise you need to remember the following:

[tex]e^{lnx}=e^{lny}[/tex] → [tex]x=y[/tex]

Therefore, keeping the above on mind, you can solve for x as following:

[tex]e^0=e^{ln(x+6)}[/tex]

[tex]e^0=x+6[/tex]

Remember that, by definition: [tex]a^0=1[/tex], then you have:

[tex]1=x+6[/tex]

Subtract 6 from both sides of the equation.

Then the value of x is:

[tex]1-6=x+6-6\\x=-5[/tex]

The perimeter of a triangle below is 4x+3y. Find the measure of the missing side. (One side is x-y, the other is x+y)

Answers

Answer:

P = 2X + 3Y

Step-by-step explanation:

Perimeter of a triangle is the sum of its three sides, so:

P is the side to find

4x + 3y = (X-Y) + (X+Y) + P

We can to eliminate  -y and y, so:

4x +3y = 2X + P

Reducing terms:

4x - 2x + 3y = P

P = 2X + 3Y

Best regards

Final answer:

The missing side of the triangle can be found by subtracting the known sides from the total perimeter. So, in this case, the measure of the missing side is 2x+3y.

Explanation:

The subject of this question is Mathematics and it's applicable for a High School level. The question is asking to find the measure of the missing side of a triangle with a given perimeter and two sides. In this scenario, the perimeter of a triangle is given as 4x+3y, and two sides of the triangle are mentioned as x-y and x+y.

The perimeter of a triangle is the sum of the lengths of all its sides. If two sides are given as x-y and x+y, and the perimeter is 4x+3y, then the missing third side can be determined by subtracting the lengths of the known sides from the total perimeter, i.e., the missing side = perimeter - (sum of known sides) = 4x+3y - [(x-y) + (x+y)].

Simplifying this, we get: missing side = 4x+3y - 2x = 2x+3y. So, the missing side of the triangle has the measure of 2x+3y.

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