Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the standard deviation is 1. 6. What is the margin of error, assuming a 99% confidence level? 4. 12 0. 01 0. 20 20. 5.

Answers

Answer 1

The margin of error of the random selection is 0.20

The given parameters are:

[tex]n = 420[/tex] --- the sample size

[tex]\sigma = 1.6[/tex] --- the standard deviation

[tex]\bar x = 10[/tex] --- the mean

[tex]\alpha = 99\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]

[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]

[tex]E = 2.576 \times \sqrt{0.006095}[/tex]

Take square roots

[tex]E = 2.576 \times 0.0781[/tex]

Multiply

[tex]E = 0.2012[/tex]

Approximate

[tex]E = 0.20[/tex]

Hence, the margin of error is 0.20

Read more about margin of error at:

https://brainly.com/question/14396648


Related Questions

Hey! i need some help with a math question if anyone doesn't mind helping-
35 = 4x + 7
yes, this is a very simple equation but i have the brain of a 5th grader lol.

Answers

ANSWER: 7

EXPLANATION:
35=4x+7
4x=35-7
x=28/4
x=7

Can I get the brainliest please
The answer is 7
You do 7 minus 35 then divide it by 4

What is 826x98= ?
826x98 is 80948

Answers

Answer:

im pretty sure we keeps the account sorry this isnt for the math question

Step-by-step explanation:

826×98=80948

Answer:

80,948

Step-by-step explanation:

that's the answer.

Does the point (–13, –1) satisfy the equation y = –3?

Answers

no because the point shows that y=-1

Two plus two equal four

Answers

Answer:

Two plus two equals sixxxxxxx

Which of the following would be a correct first step to solve the equation, 5(y+12) = 25?

Answers

Answer:

divide both sides by 5

Step-by-step explanation:

y + 12 = 5

y = -7

a local factory has to add a liquid ingredient to make there product at a rate of 13 quarts every 5 minutes. how many gallons per hour of the ingredient do they need to add

Answers

Per hour, they would need to add 147 quarts of the liquid ingredient. When converting to gallons, every 4 quarts is one gallon, so we need to divide 147 by 4.

36.75 Gallons Per Hour

They need to add 39 gallons of ingredients to make the production they desire.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 4 quarts are one gallon.

∴ They would be making (13/4) = 3.35 gallons every 5 minutes Or (3.25/5) = 0.65 gallons per minute.

∴ In an hour or 60 minutes, they would be making (0.65×6) = 39 gallons per hour.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Which of the following is a rational function?

A.
B.
C.
D.

Answers

Answer:

c

Step-by-step explanation:

c will be the answer g g g t g

-33 less than or equal to -4x + 3

Answers

Step-by-step explanation:

-33 ≤ -4x + 3

Group like terms

4x ≤ 3 + 33

4x ≤ 36

Divide both sides by 4

4/4x ≤ 36/4

x ≤ 9

Final answer: x ≤ 9

Hope this helps.

Which equation is NOT a linear? function

Answers

Answer:

A

Step-by-step explanation:

Because the x-intercept is zero and if you want to show it on a graph it is a quadratic function.

Answer it please ❤❤❤❤❤❤❤❤❤❤ I really appreciate if u answer it ! ​

Answers

Answer:  

Josh has 60% of $600 that is $360

Daniel has $320

So Josh has more by $40

5)

Bianca has 43 votes

Carlos has 38% of the 150 vote that is 57

So Carlos has 14 more votes than Bianca

Step-by-step explanation:

You have learned that to find 1% of a number means finding 1/100 of it. Similarly, finding 60% of a number means finding 60/100 (or 6/10) of it. 60% of $600 → 60% × $600. 60% of $600 → 0.6 × $600.

Please help!!

Select the correct answer.
Consider functions f and g.

f(x)= square root 2x+2
g(x) = x^2-2/2

Which statement is true about these functions?

See in photo

Answers

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

[tex]h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\[/tex]

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

[tex]h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x[/tex]

Get the composite function g(h(x))

[tex]g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x[/tex]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Learn more on inverse functions here; https://brainly.com/question/14391067

An item is regularly priced at $97. It is now priced at a discount of 40% off the regular price.

Answers

Answer:

38.8

Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8

Any help wit this ? Cause I’m kinda confused

Answers

Answer:

D. The hiker would climb up 46 meters

Step-by-step explanation:

It would make the negative cancel out and would make it 0. 0 is sea level

Answer:

D the hiker would climb up 46 meters.

Step-by-step explanation:

If the hiker is -46 meters from sea level, that means the hiker is 46 meters BELOW sea level. For them to return to sea level, they would have to increase their elevation 46 meters by going up 46 meters, to make it to sea level.

NO LINKS!
Part A: Find the LCM of 5 and 12. Show your work. (3 points)

Part B: Find the GCF of 72 and 81. Show your work. (3 points)

Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)

Answers

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

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

Part B: 9

81 / 72 = 9

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

Part C: 9 (8 + 9)

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

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

Easy! :D (if you don't mind, may I get brainliest please?)

Simplify:
(a^-2)^-3 divided by (a^5)^-1

Answers

Hi,

.

[tex]( { {a}^{b} })^{c} = {a}^{b \times c} [/tex]

.

[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{b - c} [/tex]

=>

[tex]\frac{ { ({a}^{ - 2} })^{ - 3} }{ { {(a}^{5}) }^{ - 1} } = \frac{ {a}^{ 6} }{ {a}^{ - 5} } = {a}^{ 11} [/tex]

.

.

I hope it helped ✅(•‿•)

you are taking a typing class and can now type 30 words er minute. set up a proportion to solve for the amount of time it would take you to type 400 words

Answers

30 words/1 minute= 400 words/x minutes

Time needed to type 400 words is 13.3 minutes.

What is unit rate?

A unit rate means a rate for one of something.

Given that, you are taking a typing class and can now type 30 words per minute.

For 30 word, you need 1 minute.

Let you need x minutes for 400 words,

Therefore, the proportion will be,

1/30 = x/400

x = 400/30

x= 40/3

x = 13.33333 ≈ 13.3

Hence, you need 13.3 minutes to type 400 words.

For more references on unit rate, click;

https://brainly.com/question/29781084

#SPJ2

A school staff meeting had 30 teachers in attendance, 60% of whom were first-year teachers. How many first-year teachers were in the meeting?

Answers

Answer:

I personally think the answer is because if the 60% of the teachers among 30 teachers were first-year teachers,then it would mean the other 40 % of the teachers were recent/ this year teachers.

Studying a group of children from first grade through high school to see the effect of pre-schooling on educational success would be which
type of study?
a
longitudinal
cross-sectional
Ос
natural observation
Od
experimental

Answers

Answer:

Longitudinal study

Step-by-step explanation:

Information is collected over extended periods of time in a longitudinal study, but in cross-sectional, natural observation, and experimental studies, information is collected over short periods of time or in one time only. Based on the choices given, this type of study would be a longitudinal study.

Solve for p if L = 2 1/2 ft and W = 3 2/5 ft. P = 2L + 2W​

Answers

Answer:

[tex]\frac{59}{5}[/tex] or 11 [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

hope this helps :)


I’m very smart. My hair is dark. I love to eat honey, insects, and bark.

Answers

I don't understand the question your asking


Look at picture this is so hard pls help

Answers

Answer:

D) 8

Step-by-step explanation:

What the problem is asking you to do is multiply the two expressions and substitute x=3 into the product.

[tex]f(x)=2^x[/tex]

[tex]g(x)=2x-5[/tex]

[tex](f*g)(x)=f(x)g(x)=(2^x)(2x-5)[/tex]

[tex](f*g)(3)=f(3)g(3)=(2^3)(2(3)-5)=(8)(6-5)=(8)(1)=8[/tex]

Therefore, the correct answer is D

The quadratic function g(x)=ax^2+bx+c has the complex roots (10+i) and (10-i). You may assume that a=1.
What is the value of b?
What is the value of c?

Answers

The values are [tex]b=-20\text{ and }c=101[/tex]

The quadratic function, expressed in factored form is

[tex](x-(10+i))(x-(10-i))=g(x)[/tex]

Expanding and simplifying

[tex]g(x)=(x-(10+i))(x-(10-i))\\=x^2-x(10-i)-x(10+i)+(10+i)(10-i)\\=x^2-10x+xi-10x-xi+100-i^2\\=x^2-10x-10x+100+1\\=x^2-20x+101[/tex]

since

[tex]g(x)=ax^2+bx+c=x^2-20x+101[/tex]

we can equate coefficients of like-terms and conclude that

[tex]a=1,b=-20,c=101[/tex]

Learn more about quadratic equations here: https://brainly.com/question/12995618

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer: 20 ft.

Step-by-step explanation:

Simply multiply 5 x 4.

Answer:

20 ft`

Step by step explanation:

N/A

What is the reciprocal of 3 1/3

Answers

Answer:

3/10

Step-by-step explanation:

make 3 and 1/3 to an improper fraction (3 multiplied by 3 plus 1) which is 10/3. the reciprocal is 3/10

Answer:

0.3

Step-by-step explanation:

Have a great day!

The function P(t)=25,000(1.1023)t2 can be used to model the population in the town of Madison t years from now. Interpret the function in terms of the context for this situation.

Answers

Answer:

A growth function has the following form.

where  = Original amount,

r = annual rate of change,

n = number of periods,

t = time in years

Since the time is in years, we need to convert t into days. We know that 1 year = 365 days. So t years = 365t days.  

So in this case, n = 365, r = 0.0095.

Then the function is rewritten as follows.

The daily growth rate would be  

Step-by-step explanation:

t=number of years

Lets find year wise population for example

let years be 3t=3

[tex]\\ \sf{:}\longrightarrow P(3)=25,000(1.1023)3^2[/tex]

[tex]\\ \sf{:}\longrightarrow P(3)=27557.5(9)[/tex]

[tex]\\ \sf{:}\longrightarrow P(3)=248017.5[/tex]

Use the algebra tiles to help you solve 3x+6=12

Answers

Answer:

2

Step-by-step explanation:

We subtract both sides by 6 (3x=6)

And then we divide by 3 (x=2)

Hey there!

You have 3 x-tiles

+

6 = positive-tiles (+)

=

12 positive-tiles (+)

3x + 6 = 12

SUBTRACT 6 to BOTH SIDES

3x + 6 - 6 = 12 - 6

CANCEL out: 6 - 6 because it gives you 0

KEEP: 12 - 6 because it helps solve for the x-value

NEW EQUATION: 3x = 12 - 6

SIMPLIFY IT!

3x = 6

DIVIDE 3 to BOTH SIDES

3x/3 = 6/3

CANCEL out: 3/3 because it gives you 1

KEEP: 6/3 because it helps solve for the x-value

x = 6/3

SIMPLIFY IT!

x = 2

Therefore, your answer is: x = 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Challenge Question Sally's bank account balance was $50 on Monday. On Tuesday, she bought a new pair of shoes for $45. On Thursday evening she earned $25 babysitting her neighbor's children. On Friday she spent $42 on pizza for her friends. She earned $20 dollars on Saturday raking leaves. What is her bank account balance on Sunday? ?​

Answers

Answer:

  $8

Step-by-step explanation:

After the shoe purchase, her balance was $50 -45 = $5.

After depositing her babysitting earnings, her balance was $5+25 = $30.

After buying pizza, her balance was $30 -42 = -$12.

Assuming no overdraft charge, her balance after depositing her earnings was ...

  -$12 +20 = $8

Sally's balance on Sunday was $8.

0.326
In stranded form pleasee

Answers

Answer:

0.326

The dot is going to move to the right which is going to be in between 3 and 2.

Then the answer will be 3.26 ×10^-1

Answer:

3.26 × 10-1 or

[tex] \frac{163}{500} [/tex]

I didnt know which one u needed

Drag the numbers below to put them in order from least to greatest:

-9 -12 -4
–4 20 -1 -6

Answers

Answer:

-12, -6, -4, -1, 9, 20

Step-by-step explanation:

9, -12, -4, 20 -1, -6

putting them in order from least to greatest means that negatives should go to the left (1st), largest should go to the right (last).

The number -9, -12, -4, 20, -6, -1 in the order from least to greatest is -12, -9, -6, -4, -4, -1, 20.

Given data: -9, -12, -4, 20, -6, -1

Starting from the smallest number:

-12 is the smallest number.

Next is -9, which is larger than -12 but smaller than -6.

Then comes -6, larger than -9 but smaller than -4.

After that, we have two occurrences of -4.

Following that is -1, greater than -4.

Finally, the largest number is 20.

So, the numbers in ascending order are: -12, -9, -6, -4, -4, -1, 20.

Learn more about ascending order here:

https://brainly.com/question/31946606

#SPJ12

Use the distributive property to remove the parentheses.
3(6-y)

Answers

Answer:

18-3y.

Step-by-step explanation:

3 x 6 = 18

3 x -1y= -3y.

Answer:

18 - 3y

Step-by-step explanation:

3(6-y)

(3)(6) + (3)(-y)

18 + (-3y)

18 - 3y

Other Questions
Read the following excerpt from Overtones by Alice Gerstenberg and answer the question that follows.HETTY [to MAGGIE]. I hate you!HARRIET [to MARGARET]. It is indeed gratifying to find a kindred spirit.MAGGIE [to HETTY]. I came for your gold.MARGARET [to HARRIET]. How delightful it is to know you again.HETTY [to MAGGIE]. I am going to make you and your husband suffer.HARRIET. My kind regards to John.MAGGIE [to HETTY]. He has forgotten all about you.MARGARET [rises]. He will be so happy to receive them.HETTY [to MAGGIE]. I can hardly wait to talk to him again.HARRIET. I shall wait, then, until you send me word?MARGARET [offering her hand]. I'll speak to John about it as soon as I can and tell you when to come.[HARRIET takes MARGARET'S hand affectionately. HETTY and MAGGIE rush at each other, throw back their veils, and fling their speeches fiercely at each other.]HETTY. I love himI love him MAGGIE. He's starvingI'm starving HETTY. I'm going to take him away from you MAGGIE. I want your moneyand your influence.HETTY and MAGGIE. I'm going to rob yourob you.[There is a cymbal crash, the lights go out and come up again slowly, leaving only MARGARET and HARRIET visible.]MARGARET [quietly to HARRIET]. I've had such a delightful afternoon.HARRIET [offering her hand]. It has been a joy to see you.MARGARET [sweetly to HARRIET]. Good-bye.HARRIET [sweetly to MARGARET as she kisses her]. Good-bye, my dear.Curtain.What combination of emotions does the writer want the audience to feel?a. sadness and anguishb. passion and desperationc. confusing and dismayd. happiness and joy who has the best answer for this what percentage more water is used to provide us with electricity vs for irrigation is H2O polar or non polar? Which of the Ten Commandments did Davidbreak by taking Uriah's wife and putting Uriah in a situation inwhich David knew Uriah would be killed? How did his actionsgo against these commandments In the 1950s, the polio virus paralyzed many children for life. Today, polio hasbeen reduced by 99 percent. Which of the following has played the greatestrole in reducing polio infections worldwide?A. AgricultureB. CooperationC. EducationD. Consumption The reliable paleoclimate record from the Antarctic and Greenland ice cores provides information back to approximately ________ years ago. A. 65 million As you move further___in Asia there are more people who follow christianity is the individual or group that develops the message to be communicated to internal and external parties Description of the property Outline the pathway of a breath of air from the nose to the alveoli. If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years? Help ASAP Ill give so much points! 10 roles of insurance in a business how do I say hello how are u in Spanish Which one is correct? Grammatically- I dont like school - Me too/neither A force of 5N accelerates an object. The object mass is 50 g. What is the acceleration of an object? Please help, i'm failing biology and REALLY need honest answers.( DNA unit test, unit 6 lesson 13. CONNEXUS )How are new viruses made?(1 point)A. asexual reproductionB. sexual reproductionC. viral DNA or RNA copied by viral cellsD. viral DNA or RNA copied by a host cell Directions: Given the point and slope, write the equation of the line. 3. (1,-7); slope = -1 A circle has a radius of 10 ft. What is its circumference?Use 3.14 for Ti, and do not round your answer. Be sure to include the correct unit in your answer. Mrs. Nelson is a 5th grade teacher at Xander Elementary School. Mrs. Nelson is very tech-savvy and uses many forms of social media to communicate with her parents and students. At the beginning of the year, she asks parents to follow her on a communication app, Remind, so that they can receive important text reminders about upcoming events. Remind is typically used for group communication, for example, Mrs. Nelson might send out a reminder to the class that they have a field trip and will need to remember their lunches. After receiving a group text, parents then have the option to respond individually to Mrs. Nelson and they can then carry on a conversation in a private environment if they need to discuss more student-specific information.Many of her students have their own cell-phones and have also begun following Mrs. Nelson the Remind app, and while does not encourage this, she doesnt remove them when they do. It has never been an issue in the past, and she assumes it might help them to know what is going with upcoming and important events too.Mrs. Nelson is a very loved and respected teacher, and she is known for providing a very safe and nurturing environment in her classroom. Whenever a student is struggling with anything, they always know that Mrs. Nelson will listen and support them. Because of the precarious nature of 5th grade, students often come to Mrs. Nelson with all kinds of problems. After sending out a Remind text about the upcoming early dismissal day, a student, Maddie, responded with a private message to Mrs. Nelson telling her that she needed to talk to her about a problem. Mrs. Nelson tells her to come to her first thing in the morning, so they can talk before class begins. The next morning, Maddie shows up early to class as instructed, and tells Mrs. Nelson that she thinks something is wrong with her because she doesnt like boys the way her friends do, and but she really doesnt want to be gay. She is afraid of what her parents and friends would say if she never likes boys the way she thinks she is supposed to. Though she was a little taken aback by this confession, Mrs. Nelson assures her that she will be ok, and that it is ok that she doesnt have the answers to those questions right now. Thinking about it later that evening, Mrs. Nelson, was concerned that she hadnt been supportive enough in talking with Maddie, so she sends her a private Remind text saying, "I want you to know that you are a very smart and beautiful young lady, and if you like boys or girls, that wont change. I wont say anything to anyone about our conversation."Questions:1. Identify the behaviors (if any) that you believe violate standards in the Educator Code of Ethics?2. Which standards do you think were violated, explain your reasoning. If you feel that no standards were violated, explain your reasoning?3. Should Mrs. Nelson have handled this situation differently so as not to violate the Code of Ethics, or (if you feel that there was no violation) to avoid her actions being called into question? help please???????????