What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}

Answers

Answer 1

Answer:

15.866

Step-by-step explanation:

you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).

12+13+29+18+61+35+21 = 189189/7 = 27

you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.

first, subtract the mean from all the data points

12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6

then, square each calculated value from above

-15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36

then, add the squared values together

225+196+4+81+1156+64+36 = 1762

you would then divide 1762 by 7 (number of data values given orginally)

1762/7 = 251.714

finally, take the square root of 251.714 to find the standard deviation

[tex]\sqrt{251.714} = 15.866[/tex]
Answer 2
Standard deviation is 17.1

Related Questions

find the value of x in the figure.​

Answers

The answer is 121 because 180 - 59 = 121

What is 4^4 in algerbra mathematics?

Answers

Answer:

256

Step-by-step explanation:

4 to the exponent of 4 = 256

I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.​

Answers

Annually compoudning interest formula

PV(1+i)ⁿ

4000(1+.0775)¹⁰=8437.869021

which rounds to

$8437.87

If you were to do this on a financial calculator it would look like this:

N=10

I/Y=7.75

PV=4000

PMT=0

CMPT FV = same answer

Yup you just need to know the formula and plug in your numbers but first know the difference between interest and compound to know which formula you choosing ! Use a calculator most likely an app Calculate84 is a life saver ^^^ all the luck

Can somebody help me out my grade are bad

Answers

Answer:

N-3

Step-by-step explanation:

PLZZZ HELPP MEEEEEEEEEEEEEEEEEEE

Answers

Step-by-step explanation:

question 1

[tex]6 {x}^{4} - 36 {x}^{3} \\ 6 {x}^{3} (x - 6)[/tex]

question 2

[tex]64 {x}^{2} + 48x + 9 \\ {(8x + 3)}^{2} [/tex]

Geometry Find the area of the Triangle

Answers

Answer:

A = 148.92 sq in

Step-by-step explanation:

A = bh/2

A = 20.4(14.6) ÷ 2

A = 297.84 ÷ 2

A = 148.92 sq in

A is the correct answer

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 8x + c[/tex]

[tex] {x}^{2} + c - 8x[/tex]

To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.

[tex]( - 1 \times 4 {)}^{2} [/tex]

[tex]( - 4 {)}^{2} [/tex]

[tex]16[/tex]

Hope it is helpful....

50 points HELP PLEASEEE



We all know how toilet paper has been horded during the pandemic. Your
teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to
estimate the number of rolls of TP she can fit into a rectangular prism section of a
closet with dimensions of 36 in. by 108 in. by 36 in. Measure a roll of TP at your
home, remember it is a cylinder you need its radius and height to calculate its size.
Radius: _________ Height: ____________
About how many rolls of TP can fit into the closet section?

Answers

Answer:

radius: 78 height: 92

im so sorry if im wrong! i did math and everything!

Assume the radius is 5 and the height is 4.

We first need to find the volume of both the TP roll and the volume of the closet.

In order to find the volume of the TP roll, we need to use the formula [tex]V[/tex] = [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex] (r meaning radius and h meaning height), so that means we have to do 3.14 × 5 × 5 × 4.

After solving, we get 314 as our answer.

Next we need to find the Volume of the closet by using the formula L × W × H (L meaning Length, W meaning Width, and H meaning height), so that means we have to do 36 × 108 × 36.

We then get 139,968 as our answer.

The last thing we need to do is 139,968 ÷ 314.

The answer we get is 445.

So the answer to this question is: About 445 rolls of TP can fit into the closet.

Two partners starting a new restaurant and the total investment is $67,000. Their investments are in the Ratio 3:4. How much does each investor contribute?

Answers

Answer:

One investor should make ABOUT $28714.29 while the other will make about $38285.71

Step-by-step explanation:

67000 x 3/7 =28714.285...

67000 x 4/7 = 38285.714....

Divide 16,912 by 28
A. 604
B. 640
C. 6,040
D. 6,400

Answers

Answer:

604

Step-by-step explanation:

I did the math

A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a
wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on
the space on which the wheel stops. Let X represent the value of a spin. The distribution of X is given in the table.
a.1 b.1.5 c.2 d.2.1

Answers

Answer:

The  median of the distribution is (first option);

1

Step-by-step explanation:

The values on the given table are presented as follows;

[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]

To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;

Cumulative probability, starting from the left, is therefore;

Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6

Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1

The median value of the distribution of X is 1

How to determine the median?

The cumulative probability of the distribution is:

[tex]\sum E(x) = 1[/tex]

The median position is calculated as:

[tex]Median = \frac{\sum E(x)}{2}[/tex]

This gives

[tex]Median = \frac{1}{2}[/tex]

Median = 0.5 th

This mean that the median is at the 0.5th position

The value of the spin at the 0.5th position is 1

Hence, the median value of the distribution of X is 1

Read more about median at:

https://brainly.com/question/14532771

#SPJ2

The radius of a circle is 7 millimeters. What is the circle's area?
Use 3.14 for a.
square millimeters

Answers

Answer:

153.86

Step-by-step explanation:

formula - πr²

= 3.14 * 7²

= 153.86

13. A square based cuboid has a width of 4cm. If the volume of the cuboid is 400 cubic
centimeters, what is the surface area of the cuboid?

Answers

Answer:

216 cm²

Step-by-step explanation:

Applying,

V = lwh..................... Equation 1

Where V = volume of the cubiod, l = length of the base, width of the base, h = heigth of the cubiod.

From the question,

Since the base of the cubiod is squared,

Therefore,

w = l = 4 cm, V = 400 cm³

Substitute these values into equation 1

400 = 4×4×h

h = 400/(4×4)

h = 25 cm

A = lw+lh+wh.................. Equation 1

Where A = surface area of the cuboid.

Given: l = 4 cm. w = 4 cm, h = 25 cm

Substitute these values into equation 1

A = (4×4)+(4×25)+(4×25)

A = 16+100+100

A = 216 cm²

Please help me what is it

Answers

Answer:

13/14

Step-by-step explanation:

3/7 x 2/2 = 6/14

1/2 x 7/7 = 7/14

6/14 + 7/14 = 13/14

Answer:

1/14

Step-by-step explanation:

Hi how’s your day ? Would you like to help me ?

Answers

Answer:

Hi

Good

I think its the second but i'm not sure because there are no measurements

Good luck

3.2x4.9-1.5 simplify

Answers

Answer:

14.18

Step-by-step explanation:

3.2*4.9= 15.68

15.68 -1.5 = 14.18

At age 20, William starts a career with a salary of $40,000 and a promise of a yearly raise of 2%. Approximately how much money will he make over 10 years?

Answers

Answer:

8759.78

Step-by-step explanation:

cause by the end of the 10 years he would have 48759.77 minus that by 40,000 you would get 8759.78

Approximately how much money will he make over 10 years is $8,759.78.

Using this formula

Amount=[Principal(1+rate)^t]- Principal

Where:

Principal=$40,000

Rate=2%

Time=10 years

Let plug in the formula

Amount=[$40,000×(1+0.02)^10]-$40,000

Amount=[$40,000×(1.02)^10]-$40,000

Amount=$48.759.776-$40,000

Amount=$8,759.776

Amount=$8,759.78 (Approximately)

Inconclusion approximately how much money will he make over 10 years is $8,759.78.

Learn more here:

https://brainly.com/question/7603664

What is 0.75 = 0.4 + 100

Answers

Answer:

0.75≠100.4

Step-by-step explanation:

a car travels a distance and of 180 km in 2 hours on a straight road .how many km can it travel in 3 hours at the same speed​

Answers

Answer:

270 KM

Step-by-step explanation:

180 divided by 2= 90

90*3= 270

Please help! This is urgent what is the answer

Answers

Answer:

Your answer would be 3.4

Step-by-step explanation:

I would explain but it seems like you in a hurry for the answer so I'm just going to give you the answer hope you get a %100 on whatever your doing!!

Please mark brainly!

Answer:

Step-by-step explanation:

The black trapezoid is a dilation of the green trapezoid. What is the scale factor of the dilation?

A) 1/5
B) 1/3
C) 3
D) 5

Answers

The dilation is by 1/5
Answer: Choice A)  1/5

============================================================

Explanation:

We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]

Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.

Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.

Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).

------------------------------

So far we found:

The bottom edge of the green trapezoid is 15 unitsThe bottom edge of the black trapezoid is 3 units

These two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.

scale factor = (image length)/(preimage length)

scale factor = 3/15

scale factor = 1/5

How many degrees are in a third of a full turn?

Answers

Answer:

120 degrees

Step-by-step explanation:

There are 120 degrees in a third of a full turn. To determine this, you need to start with a full turn which is 360 degrees.

Answer:

120⁰ is the answer. Hope it helps have a nice day also ;)

Consider the geometric sequence 8,4,2,1,...

Answers

Answer:

Its A for the function that represents the geomertric sequence

Sullivan’s boss has 5 eyes total. Three of his eyes are smaller than the other two. What percentage of his eyes are larger?

Answers

Answer:

40%

Step-by-step explanation:

3/5 are small so we have to find 2/5 which is 40%

2/5=x/100

cross multiply

you'll get: 5x=200

divide and thats how u get 40 %

please help me



i’m so stuck

Answers

Answer:

2 cm

Step-by-step explanation:

V=πr2h = 20π

-π                -π

r2h = 20

h= 5

r2(5) = 20

/5         /5

r2=4

/2  /2

r=2cm

(my work is complicated, but trust me 2 cm is the answer)  

You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does the ladder need to be to reach the poof of the boathouse?​

Answers

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

Edison, Xiu, and Amia are childhood friends who go to different high schools. They were wondering if there's
a difference between their schools in the number of friends people have on social media.
They each surveyed a random sample of students from their schools, asking for the number of friends they
have on social media. Here are the results:
They want to perform a x2 test of homogeneity on these results.
What is the expected count for the cell corresponding to students from Edison's school that have more
than 300 friends?
You may round your answer to the nearest hundredth.
Expected:

Answers

Answer:

22.33

Step-by-step explanation:

khan

The radius of a cylindrical water tank is 6.5 ft, and its height is 17 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
6.5 ft
ft
17 ft
X

Answers

Answer:

pi*36*10 = 1131 cubic feet

Step-by-step explanation:

MARK AS BRAINLEST!!

Step-by-step explanation:

pi*36*10= 1131 cubic feet

Hello I really need help be genuine I don’t want any links ! I really need help I will make brainliest :(

Answers

Answer:

28 of the student do not snowboard

Step-by-step explanation:

Ms Adams shares out 28 pencils between Niamh and Jack in the ratio 2:5 How many pencils does each child get?

Answers

Answer:

Niamh gets 8 and Jack gets 20

Step-by-step explanation:

Answer:

Niamh gets 8 and Jack gets 20!

Other Questions
How could you prevent the French/Indian War 1. Discuss FIVE possible reasons why some people in your community do notparticipate in your campaign. Please help me this is for 40 points !!!! explain the process of finishing I need some help what is 1000 x 3.67 and with explaining thank you so much sick anddeath".1. What is the toneof the speaker? PLS HELP ASAP RIGHT NOWWW Do you think Mr. Escalante treated Angel fairly throughout the movie? Why or why not?For the movie- Stand and Deliver . I give Brainliest! Please no links In writing this article, the author hopes toA. Explain how Freud responded to criticism of his methods.B. inform readers about Freud's contributions to psychology.C. share details about Freud's national background.D. describe Freud's early education and career goals. What is the measure of angle L? Round to the nearest hundreth. Help please!! My sister is _______ than me (studious,more studious,most studious ) A nursing assistant was planning on going into a patients room to talk over the plan of the day with her. The patient is now unresponsive. How should the nursing assistant modify his expected behavior?A. reduce or stop communication with the patientB. continue to communicate with the patient even if nonverballyC. leave the patient alone to respect the patients privacyD. let the patient be unresponsive for as long as she needs Mixed Applications: Choose the best strategyChoose any of the following strategies to solve the problems. Identify the strategy you used in each problem.Use a formulaDraw a DiagramWrite a Number SentenceGuess & Check Factor the expression. 10y+15+25y I WILL MARK BRAINLIESTA set of data is shown in the table below. Determine the values of the slope and the y-intercept, and complete the table helow Which of the following statements about yeasts are true?1) Yeasts are fungi2) Yeasts can form pseudohyphae3) Yeasts reproduce asexually by budding4) Yeasts are facultatively anaerobic5) All yeasts are pathogenic6) All yeasts are dimorphicSelect the option below that contains the numbers referring to true statements.NO LINKS!!! if body fat decrease but scale stayes the same this means client has gain which of the following How are tropical rain forests and temperate forests different? de que manera el desarrollo cientifico y tecnologico repercute en la agricultura ecologica ,como parte de las condiciones para la propuesta de emprendimiento familiar? Mass media are media that are:O A. intended for a single demographic.B. responsible for all media manipulation.O C. designed for a large audience.O D. created for one specific person.