You measure the period of a mass oscillating on a vertical spring ten times as follows:

Period (s): 1.06, 1.31, 1.28, 0.99, 1.48, 1.37, 0.98, 1.31, 1.59, 1.55

Required:
What are the mean and (sample) standard deviation?

a. Mean: 1.228, Standard Deviation: 0.2135
b. Mean: 1.325, Standard Deviation: 0.1674
c. Mean: 1.292. Standard Deviation: 0.2211
d. Mean: 1.228, Standard Deviation: 0.2098
e. Mean: 1.292, Standard Deviation: 0.2135

Answers

Answer 1

Answer:

Step-by-step explanation:

Mean is the ratio of sum of the dataset to the sample size. Mathematically:

[tex]\overline x = \frac{\sum Xi}{N}[/tex]

Xi are the individual periods

N is the sample size

[tex]\sum Xi = 1.06+1.31+1.28+0.99+1.48+1.37+0.98+1.31+1.59+1.55\\\sum Xi = 12.92[/tex]

N = 10

Substitute

[tex]\overline x = \frac{12.92}{10}\\\overline x = 1.292[/tex]

hence the mean of the samples is 1.292

For the standard deviation:

[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{N} } \\[/tex]

[tex]\sum (x-\overline x)^2 = (1.06-1.292)^2+ (1.31-1.292)^2+ (1.28-1.292)^2+ (10.99-1.292)^2+ (1.48-1.292)^2+ (1.37-1.292)^2+ (0.98-1.292)^2+ (1.31-1.292)^2+ (1.59-1.292)^2+ (1.55-1.292)^2\\\sum (x-\overline x)^2 = 0.43996[/tex]

Substitute into the formula:

[tex]\sigma = \sqrt{\frac{0.43996}{10} }} \\\sigma = \sqrt{{0.043996}}} \\\sigma = 0.2098[/tex]

Hence the standard deviation is 0.2098


Related Questions

1 Five friends went to the movies and each spent $5 on a ticket per movie and $2 on a bag of popcorn. They saw 2 movies. The movies also had a deal of pizza and a large bottle of soda for $12, which they split. How much did each friend pay for the movie trip and pizza?

Answers

Answer:

I think they spent altogether $72

Step-by-step explanation:

Since each person had a ticket, five friends would have $25 worth of tickets. Since they watched 2 movies, you would do 25 times 2 and get 50. Since they all had one bag of popcorn for $2, they would have to pay $10 for the popcorn. And since they had to spend $12 for the pizza and the large bottle of soda, they would've spent $72 altogether for the movie trip and the pizza. Hope this helps! Have a great day!

Do you guys know the answer?

Answers

EFGH is twice the size of ABCD

0.05% of all tax returns filed electronically contain errors, but 20% of all tax returns filed manually contain errors. If 3.3 million tax returns are filed each way, how many more manually filed returns containing errors will there be than electronically filed returns containing errors?

a.

330,825

b.

643,500

c.

321,750

d.

658,350

Answers

Answer: d. 658,350

Step-by-step explanation: A total of 3,300,000 of tax returns are filed.

When filed electronically, 0.05% of all the returns contain errors, which means:

3,300,000 * [tex]\frac{0.05}{100}[/tex] = 1650

When filed manually, 20% contain error:

3,300,000 * 0.2 = 660000

The difference of the number of tax returns that contain error between manually and electronically filed is

660,000 - 1,650 = 658,350

There will be 658,350 tax returns filed manually more than electronically.

The number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.

Number of manually filed return:

Using this formula

Number of manually filed returns=(Tax returns filed manually contain errors×Tax return)- (Tax returns filed electronically contain errors× Tax return)

Let plug in the formula

Number of manually filed returns=(20%×3.3 million)-(0.05%×3.3 million)

Number of manually filed returns=660,000-1650

Number of manually filed returns=658,350

Inconclusion the number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.

Learn more about number of manually filed returns here:https://brainly.com/question/1799908

The length of a rectangle is (3x − 5) inches, and its width is 2x inches. Find the area of the rectangle.

Hint: Area of a rectangle = length × width.

Answers

Answer:

A = 6x² - 10x

General Formulas and Concepts:

Area of a Rectangle: Length × Width

To expand, use FOIL - First, Outside, Inside, Last

Step-by-step explanation:

Step 1: Define variables

l = 3x - 5

w = 2x

Step 2: Find area

Substitute:                   A = (3x - 5)(2x)Expand (FOIL):            A = 6x² - 10x

Answer: A=6x^2-10x ✅

Step-by-step explanation:

Hii, do you need to find the area of the rectangle? Let me help you out! (:

Luckily, there's a formula to find this! (:

Area

To find the area of a rectangle, multiply its length times its width. This is shown below.

[tex]\LARGE\boldsymbol{A=L W}[/tex]

Here, "A" denotes the area

"L" denotes the length

"W" denotes the width

NB : "L" and "W" are interchangeable

Next, it's just a matter of sticking in the known values...

[tex]\twoheadrightarrow\sf A=2x(3x-5)[/tex]

===> it's perfectly legal to stick in the values the other way around, because they are interchangeable

Alright, the next step is to multiply the values...

[tex]\twoheadrightarrow\sf A=(2x\cdot3x)-(2x\cdot(-5)[/tex]

Then we need to simplify...

[tex]\twoheadrightarrow\sf A=6x^2-10x[/tex]

Voila! There's the area of this rectangle! (:

Cheers! (:_______________

Hope I helped! Best wishes.

⚜ Reach far. Aim high. Dream big. ⚜

_______________

A crew of highway workers paved1/4 mile in1//6 a hour. If they work at the same rate, how much will they pave in one hour?​

Answers

Answer:

1 1/2 mile

Step-by-step explanation:

In 1 hour they pave 6 times more what they paved in 1/6 of an hour.

6 * 1/4 mile = 6/4 mile = 3/2 mile = 1 1/2 mile

Multiply: -12y(y - 6) Enter the correct answer. ​

Answers

expand the brackets :
(-12y x y) -(-12y x -6)

= 12y^2 +72y

can someone give me the answers

Answers

Answer:You see if you want these answers your gonna need to give us more than 5 points for a whole paper of homework. Lma*

Step-by-step explanation:

Z+(z-6)-2=-10
How donI solve this?

Answers

Answer:

z = -1

Step-by-step explanation:

Simplifying

z + (z + -6) + -2 = -10

Reorder the terms:

z + (-6 + z) + -2 = -10

Remove parenthesis around (-6 + z)

z + -6 + z + -2 = -10

Reorder the terms:

-6 + -2 + z + z = -10

Combine like terms: -6 + -2 = -8

-8 + z + z = -10

Combine like terms: z + z = 2z

-8 + 2z = -10

Solving

-8 + 2z = -10

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 2z = -10 + 8

Combine like terms: -8 + 8 = 0

0 + 2z = -10 + 8

2z = -10 + 8

Combine like terms: -10 + 8 = -2

2z = -2

Divide each side by '2'.

z = -1

Simplifying

z = -1

Answer:

z= -1

Step-by-step explanation:

Simplifying

z + (z + -6) + -2 = -10

Reorder the terms:

z + (-6 + z) + -2 = -10

Remove parenthesis around (-6 + z)

z + -6 + z + -2 = -10

Reorder the terms:

-6 + -2 + z + z = -10

Combine like terms: -6 + -2 = -8

-8 + z + z = -10

Combine like terms: z + z = 2z

-8 + 2z = -10

Solving

-8 + 2z = -10

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 2z = -10 + 8

Combine like terms: -8 + 8 = 0

0 + 2z = -10 + 8

2z = -10 + 8

Combine like terms: -10 + 8 = -2

2z = -2

Divide each side by '2'.

z = -1

Simplifying

z = -1

A sales manager reports an increase of 28% in sales this year
compared to last
year.
The increase was $70 560.
What were the sales last year?​

Answers

Let x be the sales last year .

Then :-

[tex] \frac{28}{100} \: of \: x = \: \: 70560[/tex]

[tex] \frac{28}{100} x = 70560[/tex]

[tex]x = \frac{70560 \times 100}{28} [/tex]

[tex]x = \frac{7056000}{28} [/tex]

[tex]x = 252000[/tex]

Therefore , the sales last year was $252,000 .

Which of the following is a prime number? A 14 B 2 C 18 D 33

Answers

Answer:

B is a prime number

Step-by-step explanation:

The definition of a prime number is if the number is divisible by itself and one. 14 is divisible by 7, 18 is divisible by 6, and 33 is divisible by 11 and 3......  Only two among all these numbers has 2 factors: It is divisible by one and itself, 2.

Therefore the answer is 2!

need these asap I’m timed

Answers

Answer:

3)  8 x + 2 y + 2

4)38

5)x=2

6)y=3

Answer:

3. 8x - 2y - 2

4. 38

5. x = 2

6. y = 3

How much difference do a couple of weeks make for birth weight? Late‑preterm babies are born with 3434 to 3636 completed weeks of gestation. The distribution of birth weights (in grams) for late‑preterm babies is approximately ????(2750,560).N(2750,560). What is the probability that a randomly chosen late-preterm baby would have a very low birth weight, less than 15001500 grams? (Use technology and enter your answer rounded to four decimal places.)

Answers

Answer:

0.0128

Step-by-step explanation:

(Use technology and enter your answer rounded to four decimal places.)

We apply the z score formula to this question

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

We are given: N(2750,560)

x = 1500 grams, μ = 2750 grams, σ = 560 grams

= z = 1500 - 2750/560

z = -2.23214

Determining the Probabilty value from Z-Table:

P(x < 1500) = P(z = -2.23214)

= 0.012803

Approximately to four decimal places = 0.0128

The probability that a randomly chosen late-preterm baby would have a very low birth weight, less than 1500 grams is 0.0128.

HELP NEEEDED ASAP PLEASE!!!

Answers

Answer:

im pretty sure the answers are

A) 6

b) 10

In the picture, what is the ratio of the number of circles to the number of squares? Select your answers from the drop-down list.

Answers

Answer:

3/6 ‍♀️

Step-by-step explanation:

the ratio of ten more than three times a number to the square of the same number is equal to ... Write an expression for the number of circles in the Nth figure.

Answer:

7 circles and 6 squares

Step-by-step explanation:

7 to 6

Roy made a scale drawing of a neighborhood park. He used the scale 1 millimeter : 9 meters.
The volleyball court is 2 millimeters in the drawing. How long is the actual volleyball court?

Answers

Answer: 18

Step-by-step explanation:

The scale says 1 mm : 9 m, so if the volley ball court is 2 mm then multiply by 9 to get it in meters. It would give you 18 m.

Which situation represents a total change in value of 0?
A) You climbed 15 feet up a tree before coming back down 15 feet,
B) You climbed 3,000 feet up a mountain and then climbed down 1,000 feet to camp.

Answers

Answer:

A) You climbed 15 feet up a tree before coming back down 15 feet

please help me with this question

Answers

Answer:

2c^2

Step-by-step explanation:

c3-c1=c2

d2-d2=0

8/4=2

Find 23÷16 . Write in simplest form

Answers

Answer:

1 17 duhhhhhh

Step-by-step explanation:

Answer:

1 1/7

Step-by-step explanation:

Ida purchases a variety bag of taffy to share with her friends. The bag contains pieces with the flavors of blueberry, strawberry, and lemon. Ida wants to know how many pieces of each flavor are in the bag. She pulls 25 pieces from the bag at random and records their flavor. Her results are shown in the following table.
A: Given the results of Ida’s experiment, what is the probability that the next piece of taffy she pulls from the bag will be lemon-flavored?
B: If the bag contains a total of 200 pieces of taffy, how many of the pieces are likely lemon-flavored?
Select one answer for question A and one answer for question B.
(Table Below)
Flavor Count
blueberry 8
strawberry 5
lemon 12

Possible Answers:
A: 8/25
A: 12/25
A: 13/25
A: 3/5
B: 96 pieces
B: 40 pieces
B: 64 pieces
B: 100 pieces

Answers

Answer:

A. 12/25

B. 96 pieces

Step-by-step explanation:

A. For this, Ida got 12/25 lemon taffies, therefore the probability is the same.

B. The ratio of lemon to other taffies is 12/25. This means that for every 25 pieces of taffy, 12 of them are lemmon. If you multiply the numerator and denominator by 8, you get 96/200, which says that out of 200 pieces, 96 should be candy.

Please help me out! Help me please! This is so important!

The ratio of girls to boys in a primary school is 4:5. If there are 24 girls, how many boys are there? Help!

Answers

Answer:

there are 30 boys

Step-by-step explanation:

If there is 24 girls you divide that by 4 and you get six so that means you multiply with six and you get 30.

A ratio of 4:5 means that for every 4 girls, there are 5 boys.

24 girls / 4 girls = 6

5 * 6 = 30 boys

There are 30 boys if there are 24 girls

170% of what is 166?

Answers

Answer:

97.65

Step-by-step explanation:

97.65

Step-by-step explanation

How many solutions are there to the equation below

7(x+2) = 7x-10

Answers

Answer: {No Solution}

Step-by-step explanation:

A fair coin is tossed three times. What is the probability of obtaining one Head and two Tails?(A fair coin is one that is not loaded, so there is an equal chance of it landing Heads up or Tails up.) *
1/4
3/8
5/8
1/3

Answers

3/8 is the answer ;)

List the factors of 48

Answers

1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

-1, -2, -3, -4, -6, -8, -12, -16, -24, and -48
1-48/2-24/3-16/4-12/6-8

Can you please simplify c5 x c

Answers

Answer:

5c^2

Step-by-step explanation:

i think c is a variable so,

5xcxc = 5c^2

What is the value of the product (4 – 2i)(6 + 2i)?

Answers

Answer:

D

Step-by-step explanation:

Edg2020

my daughter need help but i cant give her help because i dont know the answer myself .​

Answers

Answer:

B and D

Step-by-step explanation:

"Sliding": moving a shape without rotating or flipping it.

The shape still looks exactly the same, just in a different place.

What were early village leaders responsible for? Choose four answers.

Ο Making laws
Ο Making punishments
Ο Trading with other villages
Ο Building permanent houses
Ο Maintaining order
Ο Settling disputes

Answers

It’s second from last Maintain order

Answer: is A,B,E,F

Step-by-step explanation:

If this is right pls like and give me 5 star, it would really help. Thank You

Parking on campus is often expensive, and it is tempting to park illegally and take your chances on getting a ticket. From past experience, the probability of getting a ticket is about 0.30 on any given day, and because you always change your parking location, each day's outcome is independent of the previous day's outcome. The probability that you will NOT get a ticket on two days is

Answers

Answer:

P(not getting a ticket for 2 days) = 0.49

Step-by-step explanation:

We are told that the probability of getting a ticket on any given day is 0.3.

Thus;

P(getting a ticket a day) = 0.3

This means that;

P(not getting a ticket a day) = 1 - 0.3 = 0.7

Now, 0.7 is probability of not getting a ticket for 1 day. Since each day's outcome is independent of the previous day's outcome, it means that for n days, probability of not getting a ticket for n days will be;

P(not getting a ticket for n days) = 0.7ⁿ

For 2 days, its = 0.7² = 0.49

Thus;

P(not getting a ticket for 2 days) = 0.49

Please help me with this problem please ;(

Answers

9514 1404 393

Answer:

  -2

Step-by-step explanation:

The average rate of change on the interval [3, 9] is ...

  (f(9) -f(3))/(9 -3) = (41 -53)/(9 -3) = -12/6 = -2

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