Which of the following choices is the standard deviation of the sample shown
here?
18, 19, 20, 21, 22
A. 2
B. 12.5
C. 20
D. 2.5
E. square root of 2

Answers

Answer 1

Answer:  E. square root of 2

We can write that in shorthand as sqrt(2)

sqrt(2) = 1.41421 approximately

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

Explanation:

Step 1)

Add up the values to get 18+19+20+21+22 = 100

Divide by n = 5, since there are 5 items in the list. So 100/n = 100/5 = 20

The sample mean is xbar = 20

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

Step 2)

Subtract the mean from each data value

18 - xbar = 18 - 20 = -219 - xbar = 19 - 20 = -120 - xbar = 20 - 20 = 021 - xbar = 21 - 20 = 122 - xbar = 22 - 20 = 2

The results we get are: -2, -1, 0, 1, 2

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

Step 3)

Square the results from the previous step

(-2)^2 = 4(-1)^2 = 1(0)^2 = 0(1)^2 = 1(2)^2 = 4

The results here are: 4, 1, 0, 1, 4

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

Step 4)

Add up those squares from the previous step: 4+1+0+1+4 = 10

Now divide by n = 5 to get 10/n = 10/5 = 2

The result 2 represents the population variance. Applying the square root to the population variance leads to the population standard deviation. So we end up with the final answer of sqrt(2). The answer is choice E.

sqrt(2) = 1.41421 approximately

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

Note: if you want the sample standard deviation, then you divide by n-1 = 5-1 = 4, but the other steps are the same as before.


Related Questions

Thank for doing l love u

Answers

i think the answer for the first 2 questions are 12 and 28

good job guys ik math is hard sometimes

A recipe for lemonade requires 10 parts of water to every 6 parts of lemon juice. How many cups of water should be added to 30 cups of lemon juice to make the lemonade? I dont understand how many "parts" of water = 1 cup

Answers

Answer:

50 cups

Step-by-step explanation:

ratio of water to juice = 10 : 6 = 5 : 3

amount of cup = (5 x 30) / 3 = 50

-6y-18 this is really overdue and its hard for me so can someone help

Answers

the answer to this is -6(y+3)

What number has a value less than 14.7?​

Answers

Answer:

Anything below 14.7

Step-by-step explanation:

Help I'm gonna fail
A pet store owner had her staff count the number of fish in each tank. Which interval has the fewest tanks?

Answers

Its would be 41-60 I’m pretty sure
it is 41-60

explanation:

If P = (-1,6), Find: Rx-axis (P).

Can you show me how to do this?
And explain lt to me like I'm 8 xD
appreciate it.
I hate math lol.

Answers

Answer:

Step-by-step explanation:

its (-1,-6)

this is your answer

Amelia needs to buy some dog food. At the nearest​ store, 2 bags of dog food cost $7.50. How much would Amelia spend on 5 bags of dog food?

Answers

Answer: $18.75

Step-by-step explanation: Each bag cost $3.75 individually.

Find the slope of the graph below. Help fast

Answers

Answer:

2x

Step-by-step explanation:

(5,5) is a point (I reckon it is from the screenshot you sent at least)

(0,-5) is a point

-5 - 5 = -10

0 - 5 = -5

-10/-5

Slope = 2x

Answer:

Two Possible Points:

5,5 and 6,7

7 - 5         2

____ = _____ = your slope is 2

6 - 5          1

When picking two points subtract the y(rise) from eachother first which will be your numerator and the x(run) from eachother in the same exact way you subtracted to the y which will be your denominator.

the only solution to x² + bx + c = 0
is x = 5

work out the values of b and c​

Answers

Answers:

b = -10

c = 25

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

Explanation:

If x = 5 is the only solution then (x-5) is the only factor. Turns out we have repeated solutions and repeated factors. Meaning (x-5)(x-5) = (x-5)^2 is what we're after.

Expand that out to get

(x-5)^2

x^2 - 5x - 5x + 25

x^2 - 10x + 25

Then compare this to x^2 + bx + c to find

b = -10

c = 25

If you were to solve x^2-10x+25 = 0, you'll find that x = 5 is the only root.

8. How is the graph of log (x - 2) + 1 translated from the graph of log x?
shifted right 2 units and up 1 unit
shifted right 1 unit and down 2 units
shifted left 1 unit and down 2 units
shifted left 2 units and up 1 unit

Answers

Two to the right and one up

If a movie begins at 5:10 p.m. and runs for 1 hour and 45 minutes, what time will the movie end?

(Answer:_:__p.m.)​

Answers

Answer:

6:55 p.m

Step-by-step explanation:

Hour connects with hour therefore, 5 + 1 = 6

Minutes connects with minutes thus, 10 + 45 = 55

Hence it being 6:55 p.m when the movie finishes if it starts at 5:10 p.m.

I need to get an a please help

Answers

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

What is 66.6% as a fraction ( simplest form )

Answers

666/10 simplify it to 333/5 is your answer

Find the HCF of 12 and 16 ​

Answers

Answer:

4  Hope that helped

The answer is four please tell me if this helped

If tanΘ = 6/5 and cosΘ < 0, what is sin2Θ?
An explanation on how to solve this problem would be great, thanks!!

Answers

Answer:

[tex]\displaystyle \sin2\theta=\frac{60}{61}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \tan\theta=\frac{6}{5}\text{ and } \cos\theta <0[/tex]

And we want to find the value of sin(2θ).

First, recall that tangent is the ratio of the opposite side to the adjacent side.

Therefore, the hypotenuse is:

[tex]h=\sqrt{6^2+5^2}=\sqrt{61}[/tex]

Next, note that tangent is positive and cosine is negative. Tangent is positive in QI and QIII. Cosine is negative in QII and QIII.

Hence, we can conclude that θ must be in QIII.

In QIII, sine is negative, cosine is negative, and tangent is positive.

And with respect to θ, our opposite side is 6, adjacent side is 5, and the hypotenuse is √(61).

We can rewrite our expression as:

[tex]\sin2\theta=2\sin\theta\cos\theta[/tex]

Using the above information, substitute:

[tex]\displaystyle =2\left(-\frac{6}{\sqrt{61}}\right)\left(-\frac{5}{\sqrt{61}}\right)[/tex]

Simplify. Hence:

[tex]\displaystyle \sin2\theta=\frac{60}{61}[/tex]

plss help me!!

Find the length of the arc.

Answers

Answer:

[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)

Step-by-step explanation:

GIVEN :-

Angle subtended by the arc at center (θ) = 90°Radius of the circle = 5 ft.

TO FIND :-

Length of the arc

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.

[tex]=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}[/tex]

SOLUTION :-

Length of the arc = [tex]\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}[/tex]

What is the image point of (2,7) after a translation left 4 units and up 2 units?

Please hurry ASAP no links

Answers

Answer:

Coordinates of the image point → (-2, 9)

Step-by-step explanation:

If a point (x, y) is translated by 'h' units left and 'k' units up then the rule for the translation will be,

(x, y) → (x - h, y + k)

Rule for the translation of a point (2, 7) by shifting 4 units left and 2 units up will be,

(2, 7) → (2 - 4, 7 + 2)

        → (-2, 9)

Coordinates of the image point → (-2, 9)

Jensen goes to the store with $4. He buys 3 pencils for $0.70 each and
some erasers. Each eraser costs $0.50. Enter the maximum number of
erasers he can buy.

Answers

Answer:

3 erasers.

Step-by-step explanation:

Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.

0.70p + 0.50e ≤ 4

0.70(3) + 0.50e ≤ 4

2.10 + 0.50e ≤ 4

0.50e ≤ 1.90

e ≤ 3.8

Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.

How many coins make $7.68 in cents

Answers

768 pennies my dudeeee

PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH

Answers

Answer:

3=6

4=8

5=10

6=12

graph 1

Step-by-step explanation:

Simplify for ez quick points!

Answers

Answer: 64

Step-by-step explanation: 4x4x4=64

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4}^3[/tex]

[tex]\large\text{= 4}\times\text{4}\times\text{4}[/tex]

[tex]\large\text{= 16}\times\large\text{4}[/tex]

[tex]\boxed{\large\text{= \bf 64}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 64}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Given the conversion factor 12/1 in over 1ft, which cube has the larger surface area?

Answers

Answer:

Solid A

Step-by-step explanation:

3 feet is 3 x 12 = 36 inches, which is less than 48 inches, so solid A has a larger surface area than solid B.

PLEASE HELP ME I WILL HIVE BRAINLYEST

Answers

Answer:

Step-by-step explanation:

a). Points on a number line are,

    x = -7, 1

    Number of small blocks between x = -7 and 1 is 8.

    Distance = 8

b). Difference between two points x = -7, 1 will be,

    1 - (-7) = 1 + 7

               = 8

    -7 - 1 = -8

c). Absolute value of each difference,

    |1 - (-7)| = 1 + 7

                = 8

    |-7 - 1| = |-8|

              = 8

Use what you know about similarity and proportions to solve for x in the triangles below. Show all work.
4
10
5
x + 5

Answers

Answer:

Value of x = 7.5 unit

Length of side = 12.5 unit

Step-by-step explanation:

Given that both triangles are similar because all angles are equal;

So, the ratio of similar lines is in the same proportion.

[x + 5] / 5 = 10 / 4

4[x + 5] = 50

4x + 20 = 50

4x = 50 - 20

4x = 30

x = 30 / 4

x = 7.5

So,

Value of x = 7.5 unit

Length of side = x + 5

Length of side = 7.5 + 5

Length of side = 12.5 unit

Find missing measure (No.6)

Answers

Answer:

Step-by-step explanation:

6 no

1.angle 2=92 degree(being vertically opposite angle)

2.angle 1+33+92=180(sum of interior angles of a triangle)

angle 1+125=180

angle 1=180-125

angle 1=55

3.angle 3+angle 2+115+90=360(sum of four angles is always 360 degree)

angle 3+92+205=360

angle 3+297=360

angle 3=360-297

angle 3=63

Pls solve, need help

Answers

I think the answer is B if it works let me know!

Answer:

The answer is c

Step-by-step explanation:

because it is equal to the fraction above

can someone please help with this i don’t know how to do it 85points

Answers

Answer:

Step-by-step explanation:

You can find the area by cutting it across in the middle into a trapezoid and a rectangle.

The trapezoid will have:

height = 10-4 = 6ft

top = 9-6 = 3ft

bottom = 8ft

So its area = 1/2*(3+8)*6 = 33 ft^2

The rectangle will have:

length = 10ft

width = 6ft

So its area = 10*6 = 60 ft^2

Total area = 60+33 = 93 ft^2

Answer:

93 ft^2.

Step-by-step explanation:

Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).

First find the area of the rectangle;

10*6 = 60 save that for later;

The dimensions of the second rectangle are not given but you can solve for them.  

The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.  

The height of the second rectangle is given by 9ft. - 6ft.

Multiply the width (base) and height;

6*3=18

The base of the triangle is the same as the second rectangle's.  Use that for the base.  The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.

1/2(5*6) = 15

Add all of the values together;

15+18+60 = 93 ft^2

HELP ILL GIVE BRAINLIEST

Answers

Answer:

-2/3

Step-by-step explanation

Use the two points on the graph to calculate the slope. (2, -1) and (-4, 3)

The formula is (y2 - y1)/(x2 - x1) so (3 - (-1))/(-4 - 2) = 4/-6 = -2/3

Work out the circumference of of a circle with a radius of 6mm. Give you answer in pie

Answers

Answer:

12 pi mm

Step-by-step explanation:

formula : circumfrence =  2 pi r

so pi * 2*6 mm = 12 pi mm

C≈37.7mm that should be your correct answer!

Find x. Round to the nearest tenth

A: 5.0
B: 7.8
C: 3.9
D: 4.6

Answers

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{6}[/tex] ( multiply both sides by 6 )

6 × cos40° = x , then

x ≈ 4.6 ( to 1 dec. place ) → D

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