76,45,64, 80, 92
Calculate the sample standard deviation

Answers

Answer 1

Answer:

15.94490514

Step-by-step explanation:

First, work out the average, or arithmetic mean, of the numbers:

Count: 5(How many numbers)

Sum: 357(All the numbers added up)

Mean: 71.4(Arithmetic mean = Sum / Count)

Then, take each number, subtract the mean and square the result:

Differences:

4.6, -26.4, -7.4, 8.6, 20.6

(Every Number minus Mean)

Differences^2:

21.16, 696.96, 54.76, 73.96, 424.36

(Square of each difference)

Now calculate the Variance:

Sum of Differences2:1271.2(Add up the Squared Differences)

Variance:254.24(Sum of Differences2 / Count)

Lastly, take the square root of the Variance:

Standard Deviation:15.94490514 (The square root of the Variance)


Related Questions

please help me people thank you in advance

Answers

Answer:

[tex]-\dfrac{11}{12}[/tex]

Step-by-step explanation:

[tex]\dfrac{\dfrac{5}{8}+\dfrac{3}{4}}{\dfrac{-2}{3}-\dfrac{5}{6}}=\\\\\\\dfrac{\dfrac{11}{8}}{-\dfrac{9}{6}}=\\\\\\\dfrac{11}{8}\times -\dfrac{2}{3}=\\\\\\-\dfrac{22}{24}=\\\\\\-\dfrac{11}{12}[/tex]

Hope this helps!

The bowl of a circular birdbath has an inside diameter of 18 inches, as shown in the drawing belon.

When the bowl of the birdbath is full, which of the following is the closest to the area of the top surface of the water? Use 3.14 for 1.
1017 square inches
254 square inches
113 square inches
57 square inches



Help plsss

Answers

Answer:

254 square inches

Step-by-step explanation:

A=pi*r^2

A=pi*(d/2)^2

A=3.14*(18/2)^2

A=3.14*(9)^2

A=3.14*81

A=254.34 in^2

So, rounded no the nearest whole, the answer is 254 in^2

Which is option 2 or B

What is the mean of 12, 24, 24, and 52

Answers

The mean basically means the average number between all numbers given. You can find the mean by adding them together and diving by the number of numbers. In this case, 12 + 24 + 24 + 52= 112. Divide 112 by 4 and the answer is 28. Therefore, the mean is 28.

Answer:

Mean = 28

Step-by-step explanation:

Mean = [tex]\frac{sum of observations}{number of observations}[/tex]

Mean = [tex]\frac{12+24+24+52}{4}[/tex]

Mean = [tex]\frac{112}{4}[/tex]

Mean = 28

I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ

Answers

Answer:

−2 − x

Step-by-step explanation:

Answer:

-2-x

Step-by-step explanation:

distribute the the like terms and separate the problem then solve it.

will mark bianleast
When figure ABCD is reflected across the dotted line into figure A′B′C′D', which describes the position of B'?


5 units below the dotted line

5 units above the dotted line

3 units below the dotted line

3 units above the dotted line

Answers

Answer:

5 units above the dotted line

Step-by-step explanation:

The reason for this is that there is a distance of 5 units between point B and the line so we know that when it is reflected there will be a distance of 5 as well.

Consider the following simplified algebraic expression. 10 x squared y + 6 x squared minus 7 y squared minus 6 Which could be the original expression? 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared + 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x + 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 minus 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4

Answers

9514 1404 393

Answer:

  (b)  8x^2y +7x^2 -5y^2 +3x -2 +2x^2y -x^2 -2y^2 -3x -4

Step-by-step explanation:

Detailed comparison of the answer choices seems to be required. The x^2y terms need to sum to 10x^2y, the 3x terms need to cancel, the constant terms need to sum to -6.

The appropriate choice on this list appears to be the second choice.

_____

Comment on the problem

In the form presented, it takes considerable time to sort the answer choices from one another and to determine what their differences are. It would be much more conducive to getting an answer if the problem were presented using the usual math symbols in a form that separates the question and the different answer possibilities.

Answer:

B

Step-by-step explanation:

i am smart

Which question can best be answered by finding the volume of a figure?
How much gas is needed to fill a gas tank?
How much wrapping paper is needed to cover a prism?
How much wood is needed to frame a window?
How much material is needed to line a garden with a sheet of weed-blocking material?

Answers

Answer:

The first one i think

Step-by-step explanation:

Bc the amount of gas inside a gas tank is the length times width times height

and the other answers are just area or surface area i think

i might be wrong tho

Answer:

the first answer

Step-by-step explanation:

because volume is the inside of the shape

Help asap PLEASE, dhdbhehf

Answers

Answer:

3

Step-by-step explanation:

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Interior Angles: 2 and 3

Under the Objective Theory of Contacts, the Reasonable Person Select one: a. May determine the existence of a contract if there is a dispute. b. May determine the terms of a contract if there is a dispute. c. Both of the above. d. Neither of the above.

Answers

Answer:

ayo this was posted the day after my birthday

Step-by-step explanation:

Also why u here during summer?

The answer is C though, its explaing it very well

PLEASE HELP! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
80 percent of 90 is the same as 40 percent of what number?

Answers

Answer:

180

Step-by-step explanation:

for 40 to be equal to 80 in percentages, the number has to be duplicated

Answer:

180

Step-by-step explanation:

90×80/100=72

40/100×x=72

transpose 100

40x=72×100

x=7200/40=180

What principal will amount to $3000 if invested at 3% interest compounded
semiannually for 10 years?


Please show the work of the problem

Answers

Answer: $2227.41

Step-by-step explanation:

A = P(1 + r/n)^nt

What is the product?

(negative 3 s + 2 t)(4 s minus t)

negative 12 s squared minus 2 t squared
negative 12 s squared + 2 t squared
negative 12 s squared + 8 s t minus 2 t squared
negative 12 s squared + 11 s t minus 2 t squared

Answers

Answer:

[tex] \boxed{- 12 {s}^{2} + 11st - 2 {t}^{2} } [/tex]

Step-by-step explanation:

[tex] = > ( - 3s + 2t)(4s - t) \\ \\ = > - 3s(4s - t) + 2t(4s - t) \\ \\ = > ( ( - 3s) \times 4s )- (( - 3s) \times t) + (2t \times 4s) - (2t \times t) \\ \\ = > - 12 {s}^{2} - ( - 3st) + 8st - 2 {t}^{2} \\ \\ = > -12 {s}^{2} + 3st + 8st - 2 {t}^{2} \\ \\ = > - 12 {s}^{2} + 11st - 2 {t}^{2} [/tex]

Penny wrote the mixed number 4 2/7 as 8/7. Describe Penny's error, and EXPLAIN how she should of have written the improper fraction​

Answers

Answer:

She must have multiplied 4 times 2/7 which is 8/7. She should have written it as 30/7.

Step-by-step explanation:

Question 8 Multiple Choice Worth 1 points)
(01.03 MC)
1
Riley and Francesca both commute to work. Riley's commute on the train takes 12 minutes more than as many minutes as Francesca's commute by car. It takes Riley 36
2
minutes to get to work. Write an equation to determine how many minutes it takes Francesca to get to work.
36
- 12
36 = 2x - 12
36 - 2x + 12
36 = x+12

Answers

Answer:

[tex]\dfrac{x}{2}+12=36[/tex]

Step-by-step explanation:

As it is given that

Both Riley and Francesca commute to work.

And, the Riley takes 12 minutes more than as Francesca as Riley takes 36 minutes

So for determining how many minutes is required for Francesca to get to work we need

Let us assume the time taken by Francesca to get to work is x

So, the time taken by Riley is

[tex]= \dfrac{x}{2}+12[/tex]

And, Riley takes 36 minutes to get to work.

So, the equation would be

[tex]\dfrac{x}{2}+12=36[/tex]

Need Help ASAP!!!!!....

Answers

Answer x=2.5 the steps are in the picture below

Simplify the following 2a + 3b + 4a – 7b

Answers

6a - 4b

You would take 2a and add 4a to it which will give you 6a. Then you will take -7b and add 3b to it. I usually just subtract when the bigger number is a negative. Once you do that though you will get -4b. Finally your answer will be 6a -7b

Answer:2a

We add 2 and 3 and we get 5 then we do 4-7=-3. Then we do 5-3=2 and we add a.(we only add all a’s when we multiply)

And the answer is 2a

If y is the number of yellow cars which variable expression represents the phrase below? The sum of the number of yellow cars and 9 red cars

Answers

Answer:

D.   y+9

Step-by-step explanation:

Variable y is the number of yellow cars. There are 9 red cars.

So, find the sum, which means we will add y and 9. (We don't know the number of yellow cars)

Answer: y+9

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y-3 = {(x - 1). What is the slope-intercept form of the equation for this line?
O y = 2 x + 2
O y = 2 x - 4
O y = 2 x + 3 / 3
O y = 1/2 x - 1 / 2

Answers

Answer:

y=1/2x - 1/2

Step-by-step explanation:

Slope intercept form is y=mx+b

The m is the slope of the line and the b is the y-intercept.

You must first the slope. The formula of a slope is (y1-y2)/(x1-x2). In this example it is (-2-3)/(-9-1) which equals 1/2. By order of elimanation we can see that y=1/2x-1/2 is correct.

shoulders knees and toes ‍♀️✨‍♀️‍♀️wait i forgot the head,, thats what you'll get later✨‍♀️‍♀️‍♀️✨✨‍♀️‍♀️✨✨
sorry i just needed to put something here​

Answers

Answer:

C

Step-by-step explanation:

-3x - 2 ≥ 7

-3x ≥ 9

x ≤ -3

Answer:

c

Step-by-step explanation:

-3x-2 greater than or equal to 7

-3x greater than or equal to 9

x less than or equal to -3

(flip the inequality sign if you multiply by a negative number on both sides)

c

The volume of this rectangular prism is 6x2. What does the coefficient 6
mean in terms of the problem?
height = x
width = X
length = 6x
o
A. The length of the prism is 6 units.
B. The total volume of the prism is 6 cubic units.
O
C. The length is 6 times the width.
D. The width is 6 times the height and the length.

Answers

Answer:

C

Step-by-step explanation:

The length is 6 times the width.

6 times x is 6x

You are welcome and don't for get to click THANKS

Answer: C

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST!!!!

How many 1/2 cups are in 3/4 cups?

Answers

Answer:

1 1/2 or 1.5

Step-by-step explanation:

think: half of 4 is 2 so 1 half cup would make it to 2/4

than half of that is 1/4 which is 1/2 of 1/2 a cup

adding that to 2/4 makes it 3/4 so therefore... (Peep the answer)

A rectangular prism and a square pyramid were joined to form a composite figure.


A rectangular prism with a length of 9 inches, width of 9 inches, and height of 5 inches. A square pyramid with triangular sides with a base of 9 inches and height 4 inches.
[Not drawn to Scale]

What is the surface area of the figure?
261 in.2
333 in.2
405 in.2
477 in.2

Answers

Answer:

B. 333 in.2

Step-by-step explanation:

The area of the base is 81^2

lateral is 45 x 4 = 180^2  (9x5x4)

180^2 add the 72 pyramid = 252^2 + base of 81^2 = 333^2

Composite figueres i do like this as shown to you a few seconds ago.

The triangle shows us just the height

4 inches

We can see that height is smaller central isosceles height across the center base point.

We also can remember to use the length 9inches but divide by 2 and get each triangle area this way.

4 x 1/2 base = 4x 1/2 4.5 = 4 x 2.25 = 9^2 each right side triangle

9 x 8 = 72^2

we add the areas 72+ 81+lateral 180 = 333 inches^2

Answer:

it is B

I took the quiz

A girl flying a kite lets out 130 feet of string that makes an angle of 52° with the ground. If the string forms a straight line, how high is the kite above the ground? Hint: Draw a picture (triangle) and label. 80.04 feet 102.44 feet 166.39 feet 164.97 feet

Answers

Answer:

The height of the kite above the ground is 102 .44 feet

Step-by-step explanation:

To find the height of the kite above the ground, we will follow the steps below:

let h represent the height of the kite above the ground

we will use trigonometric ratio to solve

SOH CAH TOA

sinФ = opposite/hypotenuse

cosФ=adjacent / hypotenuse

tanФ=opposite / adjacent

from the diagram below

opposite = h

hypotenuse = 130 feet

Ф = 52°

The best trig ratio to use is sin

sin Ф = opposite / hypotenuse

sin52° = h / 130

cross-multiply

h = 130 sin 52°

h=102.44°

The height of the kite above the ground is 102 .44 feet

Select the term that does NOT describe the triangle. Select all that apply

acute

Isosceles

Obtuse

Answers

This is an Isosceles triangle because as you can see in the photo the two sides are the same. An Isosceles triangle has two sides equal. Now look at the angles of triangle they’re 30 degrees and 30 degrees is an acute angle. Obtuse would be if it was greater than 90 degrees. So the term Obtuse would NOT describe this triangle! Hope this helps!

Acute is the term which does not describe the given triangle.

In the given triangle with sides 11, 11 and angles 30, 30, 120 degrees:

"Acute" is a not a valid term because all angles in the triangle (30, 30, and 120 degrees) are not less than 90 degrees.

"Isosceles" is a valid term because the triangle has two equal sides (11, 11).

"Obtuse" is  applicable because an obtuse triangle have one angle greater than 90 degrees, 120 degrees is greater then 90 degrees.

Therefore, "acute" is the term that does not describe the triangle.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Elise says, "If you subtract 16 from my number and multiply the difference by - 7, the result is
-154” what is Elise’s number?

Answers

Answer:

-6

Explanation:

Elise's number is x.

If you subtract 16 from her number -> x-16

and multiply the difference by 7 -> 7(x-16) = -154

Elise's number is -154/7+16 = -6

How many 6 packs of soda do jace and jake need to buy if each person has one soda?

Answers

Jace and Jake will need to buy (3) 6 packs of soda if each person will have one

Answer:

3 6 pks are required

Step-by-step explanation:

There are 14 people at the party

14 = 6x  where x is the number of 6 pks

Divide each side by 6

14/6 = 6x/6

2 1/3 = x

Since we cannot buy part of a 6 pk, we round up

3 6 pks are required

Find the value of x using properties of parallel lines. answers: A) 1 B) 8 C) 5 D) 3.5

Answers

Answer:

1

Step-by-step explanation:

Answer:

B. x=8

Step-by-step explanation:

The 2 angles are consecutive interior angles, and therefore they are supplementary. This means that they add to 180 degrees.

(12x+8)+(8x+12)=180

Combine like terms. Add all the terms with a variable, then the terms without a variable.

(12x+8x)+(8+12)=180

20x+20=180

Now, solve for x by isolating x. Perform the inverse operation to both sides.

20 is being added to 20x. The inverse of addition is subtraction. Subtract 20 from both sides.

20x+20=180-20

20x=180-20

20x=160

x is being multiplied by 20. The inverse of multiplication is division. Divide both sides by 20.

20x/20=160/20

x=160/20

x=8

x is equal to 8, and B is the correct answer.

Riley and Francesca both commute to work. Riley's commute on the train
1
takes 12 minutes more than as many minutes as Francesca's commute
2
by car. It takes Riley 36 minutes to get to work. Write an equation to
determine how many minutes it takes Francesca to get to work.
36 =
X - 12
2

36 = 2x - 12
36 = 2x + 12
36 = -x + 12

Answers

36=-x+12
36-12=24



X=24

How many times larger is 5 × 10 to the power of 6 than 5 × 10 to the power of 2?

Answers

Answer:

10,000

Step-by-step explanation:

The bases of the scientific notation are the same, so the answer must be a base of 10. So you just divide [tex]10^{6}[/tex] and [tex]10^{2}[/tex], you should get [tex]10^{4}[/tex], which is equal to 10,000.

10,000 because you just need to work them out then subtract

distance between (2,3) and (6,8)

Answers

Answer: [tex]\sqrt{41}[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(6-2)^2+(8-3)^2} =\sqrt{4^2+5^2}=\sqrt{41}= 6.403124237432849[/tex]

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