Find the standard deviation of the given data rounded to the nearest hundredth.3, 4, 5, 7, 10, 12, 15

Answers

Answer 1

Answer:

4.140393356

Step-by-step explanation:

Mean = (3+4+5+7+10+12+15) / 7 = 8

Count = 7 numbers

Sum of the numbers = 56

Each number minus the mean =

(3-8=-5)(4-8=-4)(5-8=-3)(7-8=-1)(10-8=2)(12-8=4)(15-8=7)

Now square of each of these numbers:

25+16+9+1+4+16+49 = 120

Variance = 120/7 = 17.14285714

Standard deviation = square root of the variance

Sqrt 17.14285714 = 4.140393356


Related Questions

Please please help me I will give you brainless please

Answers

Answer:

[tex]f(x) = 2x - 1 \\ g(x) = 3x \\ h(x) = {x}^{2} + 1 \\ f( g(x)) = 2(3x) - 1 = 6x - 1 \\ f( g( - 3)) = 6( - 3) - 1 = - 19 \\ h(f(x)) = {(2x - 1)}^{2} + 1 \\ h(f(0)) = {(2(0) - 1)}^{2} + 1 \\ h(f(0)) = 2[/tex]

Factories 16xy*2 +10xy

Answers

Answer:

[tex]16x {y}^{2} + 10xy \\ = 2xy(8y + 5) \\ 2xy = 0 \: or \: 8y + 5 = 0 \\ y = - \frac{5}{8} [/tex]

please i need help asap

Answers

Yep that answer is correct

Answer:

yeah f(x) = 2

Step-by-step explanation:

because there is no x and f(x) is on positive 2

4. Lincoln began his speech, “Four score and seven years ago....” How many years is four score and seven? (Hint: A score is 20 years.) Can someone help me?​

Answers

87 years I think…. If a score is 20 years and four scores have passed you do 4x20 = 80. 80 plus the seven 80+7 = 87

8 in+ 34 in. Round to the correct precision

Answers

It 42 inc hope that helps:)

Answer:

3 feet 6 inches

Step-by-step explanation:

If we add those inches together, we get 42 inches. Turn that to feet (12 in in a foot) and we get 3.5 feet, or 3 feet and 6 inches.

What is the volume of the rectangular prism shown

Answers

Multiply 1/4 in. by 1/2 in. to get the area of the base, which would be 1/8.

And then multiply this by 1 and 3/4 (or 7/4), which will give you the volume of 7/32 in.

Doreen uses 13 apples for every 2 pies she bakes. How many will she use for 12 pies

Answers

Answer:bbbbb

Step-by-step explanation:

sssđs

Given : 13 apples for every 2 pies

We know that : 12 = 2 × 6

Therefore, the number of apples will be 13 × 6 = 78

So, the answer is 78

Find the volume of the composite solid. Round your answer to the nearest hundredth.​

Answers

700 cubic inches

Step-by-step explanation:

is known :

r = 5 inh = 9 in

V = πr²h

V = 3.14 · 5² · 9

V = 3.14 · 25 · 9

V = 78.5 · 9

V = 706.5 cubic inches → Round to the nearest hundredth

V ≈ 700 cubic inches

The Volume of Cylinder is 1271.7 in³.

What is volume of Cylinder?

The volume of a cylinder is the amount of space that it occupies. It is a measure of the total capacity or content enclosed by the cylindrical shape.

The formula for calculating the volume of a cylinder is:

Volume = πr²h

We have, Radius= 5 in

Height= 9 inch

So, the Volume of Cylinder

= πr²h

= 3.14 x 5 x 5 x 9

= 3.14 x 5 x 81

= 3.14 x 405

= 1271.7 in³

Thus, the Volume of Cylinder is 1271.7 in³.

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The chart shows data for an object moving at a constant acceleration. A 2 column table with 4 rows. The first column is labeled time in seconds with entries 0, 1, 2, 3. The second column is labeled velocity in meters per second with entries 0, X, Y, Z. Which values best complete the chart? X: 0 Y: 0 Z: 0 X: 2 Y: 4 Z: 6 X: 3 Y: 3 Z: 3 X: 1 Y: 5 Z: 8

Answers

Answer:

its B

Step-by-step explanation:

X:2

Y:4

Z:6

The values that best complete the chart as per the concept of ratio are X:2, Y:4, and Z:6.

To determine the correct values for the chart, let's analyze the given information about an object moving at a constant acceleration:

The first column represents time in seconds (0, 1, 2, 3).

The second column represents velocity in meters per second (0, X, Y, Z).

Since the object is moving at a constant acceleration, its velocity is changing by the same amount in equal time intervals.

We can use the formula for constant acceleration:

Velocity (V) = Initial Velocity (U) + (Acceleration × Time)

Given that the object starts from rest (initial velocity, U = 0), we can deduce the following:

At time 1 second (T = 1), the object's velocity is X m/s.

At time 2 seconds (T = 2), the object's velocity is Y m/s.

At time 3 seconds (T = 3), the object's velocity is Z m/s.

Based on this information, the correct values for the chart are:

X: 2 (Velocity at 1 second is 2 m/s)

Y: 4 (Velocity at 2 seconds is 4 m/s)

Z: 6 (Velocity at 3 seconds is 6 m/s)

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explain how to calculate a unit rate such as 300 miles per hour 4 hour


my brain is not working today i need help

Answers

Answer:

75

Step-by-step explanation:

divide 4 by 300 and then you will get the answer of 75. I'm so sorry if this is wrong

Expand 3(2y+1)

Answer this, please.

Answers

Answer:

6y + 3

Step-by-step explanation:

3.2y+3.1=6y+3

Hope it helps!!

The ratio of men to women working for a company is 5 to 4. If there are 162 total, how may women work for the company

Answers

Answer:

72 women

Step-by-step explanation:

sorry it let me answer now

Answer:  72

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

Work Shown:

m = number of men

w = number of women

The ratio of men to women is 5 to 4, which means m/w = 5/4

We can cross multiply and solve for m like so

m/w = 5/4

4m = 5w

m = 5w/4

m = 1.25w

Because there are 162 people total, we then can say:

m+w = 162

1.25w + w = 162

2.25w = 162

w = 162/(2.25)

w = 72

There are 72 women at this company and m = 1.25w = 1.25*72 = 90 men

m+w = 90+72 = 162

m/w = 90/72 = (5*18)/(4*18) = 5/4

Both of those two equations above help confirm our answer.

Find the area of the figure.

Answers

Answer:

24 units^2

Step-by-step explanation:

bc=6

ab=8

area of a triangle: b*l/2

6*8/2=24

Answer: Area of the figure = 24

Concept:

Here, we need to know how to find the area of a triangle.

Area (triangle) = (1/2) · b · h

b = base

h = height

Solve:

Given coordinates on the graph

A (-5, 5)

B (-5. -3)

C (1, -3)

To find the value of the height, we need to know the value of a vertical line, meaning the [x] value of the points on the line is equal. As we can see from the given coordinates, point A and point B has the same [x] value. The value of the height equals the difference between A and B's [y] value

A (-5, 5)

B (-5, -3)

5 - (-3) = 5 + 3 = 8

To find the value of the base, we need to know the value of a horizontal line, meaning the [y] value of the points on the line is equal. As we can see from the given coordinates, point B and point C has the same [y] value. The value of the base equals the difference between B and C's [x] value

B (-5, -3)

C (1, -3)

1 - (-5) = 1 + 5 = 6

Given expression

A = (1/2) · b · h

Substitute values into the expression

A = (1/2) · (6) · (8)

Simplify by multiplication

A = (1/2) · (48)

[tex]\boxed{A =24}[/tex]

Hope this helps!! :)

Please let me know if you have any questions



Find the mean for this series of numbers.

15 40 10 40 30
mean =

Answers

Answer:

27

Step-by-step explanation:

15+40+10+40+30=135.

135÷5 I.e the total average of the number.

135÷5=27

Answer:

27

Step-by-step explanation:

15+40+10+40+30=135

135/5

Because 5 is the number of numbers

=27

3p=19 helppppppppppppp​

Answers

Answer:

p= 6.33333333333

Step-by-step explanation:

U divide 19/3 to get the value of p

Hope this helps :)

Can u plz mark me as brainliest plz? :)

40 percent of 37,500​

Answers

Answer: 15,000

Step-by-step explanation:

40 percent *37500

= (40/100)*37500

= (40*37500)/100

= 1500000/100 = 15,000


my baby chickie is chuuu pretty

Answers

Answer:

Don't quite see how this should fall into the mathematics category

Please explain this step by step.

5+4(n+9)=-3

Answers

Answer:

n = -11

Step-by-step explanation:

5 + 4(n + 9) = -3,

5 + 4n + 36 = -3,

41 + 4n = -3,

4n = -44,

n = -11

Will mark BRAINLIEST IF U ANSWER!:

Answers

Answer:

-4.62962962963

Step-by-step explanation:

Need help on this question

Answers

Answer:

m < U = 65°

Step-by-step explanation:

Given that m < PTU° = 115°, and that it is a supplement to < UTV, then we can establish that m < UTV = 65° because their angles must add up to 180°.

From this point forward, we'll name < UTV as < T of △VUT.

Now that we have the measure of < T, we can find out the value of the missing angle, < VUT, through the following equation:

180° = m < V° + m < T° + m < U°

180° =  m < 50° + m < 65° +  x

180° =  m < 115° +  x

Subtract m < 115 from both sides to isolate x:

180° -  m < 115° =  m < 115° - m < 115° +  x

65° = x

To verify that we have the correct answer, we'll add up all the measures of the three angles of the triangle to see if it sums up to 180°:

180° = m < V° + m < T° + m < U°

180° = m < 50° + m < 65° + m < 65°

180° = m < 50° + m < 65° + m < 65°

180°  = 180°  (True statement).

Therefore, the measure of the missing angle, < U = 65°

Rhythm Time sells music online. Last year, its customers downloaded a total of 697,900 songs. This year, they downloaded 467,593 songs. What is the percent of decrease in annual downloads?

Answers

Answer:

-32.9985652798%

Step-by-step explanation:

-3y+15 2y+4
_____ = ______
6 7

Answers

To get rid of denominators, multiply by (6•7) on both sides.
This yields: 7(-3y+15)=6(2y+4)
-21y+105=12y+24
105-24=12y+21y
81=33y
Y=27/11

Blake can paint a room in 9 hours, Ned can paint the same room in 6 hours, how long to paint the room together

Answers

Work done by Blake = 1/9; Work done by Ned = 1/6; Total work done by both of them together is given by 1/6 +1/6 = 3+2/18 = 5/18; So, the time taken by both of them if they work together is given by: 18/5 =3 3/5 hours.

In ∆PQR, m P = 60°, m Q = 30°, and m R = 90°. Which of the following statements about ∆PQR are true? Check all that apply.

A. PQ = √3 • PR

B. PQ = 2 • PR

C. QR = 2 • PR

D. QR = √3/2 • PQ

E. QR = √3 • PR

F. PR = √3/2 • PQ​

Answers

Answer:

C. QR = 2 • PR

Step-by-step explanation:

According to given information we can draw a right triangle with angle measures as follows :

30-60-90 and for this special right triangle the side length would follow as:

The side length that sees angle measure 30 = a

The side length that sees angle measure 60 = a[tex]\sqrt{3}[/tex]

The side length that sees angle measure 90 = 2a

following this information the:

PR(sees 30 degrees) = a (can be represented as PR in this case)

and so

QR(sees 90 degrees) = 2a (2*PR  in this case)

PQ(sees 60 degrees) = a[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] *PQ in this case)

The correct option is C. QR = 2 • PR

help plssss !!! I need help with this I've been struggling

Answers

Answer:

362.984 could be the answer but don't judge me I could be wrong.

Step-by-step explanation:

I'm not 100% sure.

From what I've been taught, they're asking for the amount of snow in cm that is melting per minute.

What I did:

I input 17 where r is in the equation for Volume. I solved it and got the answer: 20579.52628 > Rounded to nearest 10th > 20579.5

I then took that number and multiplied it by 0.1 and got: 2057.95

This is most likely incorrect based on the numbers that were given, but it should help to know that how to solve for Volume.

the mean sale per customer for 40 customers at a grocery store is $23.00, with a standard deviation of $6.00. Apply Chebyshev's Theorem to the data using k=2.

Answers

The answers is 75%x40=0.75x40=30

Mai, goran, and Juan have a total of $84 in their wallets. Goran has 3 times what Juan has. Mai has $6 less than Juan. How much does each have?

Answers

Answer:

Goran: $54

Juan: $18

Mai: $12

Step-by-step explanation:

Please leave “thanks” heart


Martina runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?

Answers

Answer:

2 and a half mile

Step-by-step explanation:

As she runs three miles in 25 minutes so she can run 2 and a half miles in 20 minutes because she needs five minutes to complete the third mile

2 1/2 Miles in 20 minutes. I hope
this helps!


Help please 6th grade math

Answers

Answer:

Step-by-step explanation:

-1

-1 there you go!!!! Hehbebene enemekjdd

There are 40 runners in a race. How many ways can the runners finish​ first, second, and​ third?

Answers

Answer:

117600

Step-by-step explanation:

50 x 49 x 48 = 117,600 ways

You have 50 possible for 1st, 49 for 2nd, 48 for 3rd

or

Permutations 50P3 = 117,600

There are total 59280 ways that can the runners finish first, second and third in a race.

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

Formula for permutation

[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]

Where,

[tex]nP_{r}[/tex] is permutation.

n is total number of objects.

r is number of objects selected.

According to the given question

Total number of runners, n = 40

Total number of runners to be selected for first, second and third position  is 3 i.e. r = 3

Therefore,

The number of ways can the runners finish the first, second and third is given by

[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]

Hence, there are total 59280 ways that can the runners finish first, second and third in a race.

Learn more about Permutation here:

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