A sample of 144 was taken from a population, with the mean of the sample
being 41 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?

A. (38.15, 43.85)
B. (40.625, 41.375)
C. (38, 44)
D. (40.5, 41.5)

Answers

Answer 1

Answer:

the answer is D

Step-by-step explanation:

i got it right and so would you ;)

Answer 2

The confidence interval for the mean of the population is (40.5, 41.5). Option D is correct.

How to calculate confidence interval for population mean ?

If the sample size is given to be n >30, then for finding the confidence interval for the mean of the population from this small sample, we use t-statistic.

Then, we get the confidence interval in between the limits;

[tex]\rm CI= \overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\\\\ CI=41+0.95\times \frac{3}{\sqrt{144} } \\\\ CI= 41+0.7125 \\\\ CI=41.7\\\\ CI=41-0.7125\\\ CI=40.5[/tex]

The confidence interval for the mean of the population is (40.5, 41.5).

Hence,option D is correct.

Learn more about confidence interval refer;

https://brainly.com/question/23008823

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Related Questions

Problem is in picture

Answers

Answer:

< ABC+<QRS=180

m<QRS=180-140=40°

Answer:

Solution given:

<ABC+<QRS=180° {supplementary]

m<QRS=180°-140°=40° is your answer

id really appreciate it if someone helped me , i’ll give you brainliest

Answers

Answer: it’s the same 110 degrees

Step-by-step explanation:

Answer: 110 is the correct answer

Solve for mZIJL.
K
\100°
52°
o
Answer: mZIJL
Submit Answer

Answers

Answer:

m<IJL = 48

Step-by-step explanation:

<IJL = x

100 - 52 = x

x = 48

Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.

Answers

Answer:

i got 20 weeks. i divided 180 by 9 and i got 20. i'm not sure if it's what you're looking for, but i hope it helps.

Step-by-step explanation:

somebody please help this is due in a couple of hours :(

Answers

Answer:

Step-by-step explanation:

Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please! make sure to remember you have to simplify! not solve!

Answers

x^2-7x-4x+28+6+3x-2x-x^2
=> -10x+34
This is the simplest form I can think of.

You want to have $150,000 in your retirement account when you retire in 30 years. Your retirement account earns 7%
interest. How much do you need to deposit each month to meet your retirement goal?
Round your answer to the nearest cent.
Do NOT include the dollar sign.

Answers

Answer: 123.05

Use annuity formula

Answer:

Step-by-step explanation:

Since we're talking about making a deposit of a certain amount every month rather than just one big deposit, we are talking about an annuity. The formula for the value of an annuity is A(t)=d[(1+rn)nt−1](rn) where A(t) is the value of the annuity, d is the amount of each deposit, n is the number of deposits per year, t is the number of years, and r is the rate of interest. In this case we know we want the value of the annuity to be A(t)=$150,000, we want to make deposits every month, or 12 times a year, so n=12, we want to reach our desired value in 30 years, so t=30, and our account earns 7% interest, so r=0.07. We can plug in all of these values and solve for d to find the amount we need to deposit each month:

A(t)150,000150,000150,000d=d[(1+rn)nt−1](rn)=d[(1+0.0712)12⋅30−1]0.0712≈d[(1.00583)360−1]0.00583≈1,219.97d≈122.95

The amount you need to deposit each month is approximately $122.95.

What is the slope of the line 3y = 4x + 5?

Answers

Answer:

4/3

Step-by-step explanation:

May I have some help with this please?

Answers

f(x) = |7m + 4| = 1

First equation by taking positive modules

7m + 4 = 1

7m = -3

m = -3/7 . Ans.

Second equation by taking negative modules

-7m - 4 = 1

-7m = 5

m = -5/7 . Ans.

∴ m = [ -5/7 U -3/7 ] Ans .

sese

Sam has a phone card that charges $1 to connect and $0 50 per minute. He also uses a cell phone that charges $3 to connect and $0.25 per
minute. In how many minutes will calls made using the phone card and the cell phone cost the same?

Answers

Answer:

8

Step-by-step explanation:

Plzzzzzz helppppp meeee !!!

ABC is similar to FED. Answer the questions to find the length of DF.


1. Which side in AFED does AB in AABC correspond to?


2. Which side of FED does CB in ABC correspond to?


3. Which side of FED does AC in the ABC correspond to?


4. What scale factor was used in the dilation of ABC to FED? Explain how you found the scale factor.


5. What is the length of side DE? Show how you found the length.


6. Use the Pythagorean theorem to find the length of side FD. Show your work.

Answers

Answer:

Corresponding side of AB is FE

Corresponding side of CB is DE

Corresponding side of AC is FD

[tex]k =2[/tex]

[tex]DE = 6[/tex]

[tex]FD=10[/tex]

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex] and [tex]\triangle FED[/tex]

See attachment for triangles

Solving (a): Corresponding side of AB

Going by the names of the triangle, the corresponding sides are:

AB and FE; CB and DE; AC and FD

Hence, the corresponding side of AB is FE

Solving (b): Corresponding side of CB

This has been solved in (a) above.

The corresponding side of CB is DE

Solving (c): Corresponding side of AC

This has been solved in (a) above.

The corresponding side of AC is FD

Solving (d): Scale factor from ABC to FED

To do this, we simply divide the lengths of corresponding sides.

The scale factor k is:

[tex]k = \frac{FE}{AB}[/tex]

[tex]k = \frac{8}{4}[/tex]

[tex]k =2[/tex]

Solving (e): Length of DE

We make use of the scale factor calculated in (d) above

[tex]k = \frac{DE}{CB}[/tex]

[tex]2 = \frac{DE}{3}[/tex]

[tex]DE = 2 * 3\\[/tex]

[tex]DE = 6[/tex]

Solving (f): Length of FD

Using Pythagoras:

[tex]FD^2 = DE^2 + EF^2[/tex]

[tex]FD^2 = 6^2 + 8^2[/tex]

[tex]FD^2 = 100[/tex]

[tex]FD = \sqrt{100[/tex]

[tex]FD=10[/tex]

Help pls fast ....................

Answers

Answer:

its A. 5

Step-by-step explanation:

5/10 is also known as 1/2 so 5/10 is equal to 1/2

please help me with this

Answers

Answer: [tex]30^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\sin 60=\dfrac{\sqrt{3}}{2}[/tex]

For

[tex]\cos \theta =\dfrac{\sqrt{3}}{2}[/tex]

It indicates [tex]\theta[/tex] lies in I st quadrant. The value of cosine [tex]30^{\circ}[/tex] is equal to  [tex]\dfrac{\sqrt{3}}{2}[/tex]

Therefore, [tex]\theta[/tex] must be [tex]30^{\circ}[/tex]

when do we say two points are said to be collinear​

Answers

Answer:

never heard of that word lol

Step-by-step explanation:

cesium-137 has a half-life of approximately 30 years. how much of a 40g sample would be left after 90 years?

Answers

Answer:

5g

Step-by-step explanation:

the first half life would be 20 the next, 10. and lastly 5

The area of Region A is the same as the area of region c true or false

Answers

Answer:

True

Step-by-step explanation:

A tutor earns $220 for 4 hours of tutoring. At the same rate, how much would the tutor earn for 3 hours of tutoring?

A. $150
B. $155
C. $165
D. $180

Answers

The answer choice that is correct is
C

HELP FAST PLZ
The same house costing $500,000 with the 15-year mortgage and the APR of
4.5% would have what amount for its first month's principal payment?

Answers

Answer:

Step-by-step explanation:

How much would the mortgage payment be on a $500K house? Assuming you have a 20% down payment ($100,000), your total mortgage on a $500,000 home would be $400,000. For a 30-year fixed mortgage with a 3.5% interest rate, you would be looking at a $1,796 monthly payment.

What is the value of 3x + 5y, when x = 12 and y = 4? 24 А B В 48 C 56 D 72​

Answers

Answer:

C is the answer

Step-by-step explanation:

All you have to do is plug 12 in for x and 4 in for y

3(12) + 5(4) = solve

36 + 20 = 56

Hope that helps

What is the solution set for this inequality?

-8x + 32 -16


x < 6

x > 6

x > -2

x < -2

Answers

Answer:

x>-2

Step-by-step explanation:

-8x+32-16<0

-8x<16

divide both sides by -8

x>-2

that's because when you divide by a negative your inequality sign changes

Solve these equations. Show solutions on a number line.

|x-7|=x-7

Answers

Answer:

X is equal to or greater than 7

Step-by-step explanation:

Since lx-7l is equal to x-7, this means that it can only work on places where the lines are on top of each other. In terms of x, this means that x must be at least 7. As you can see in the number line also attached.

Which of the following are not parts of a pyramid? diameter, altitude, radius, lateral edges, vertex.​

Answers

Yes, the answer is Diameter and Radius.

Answer:

Radius and diameter are not part of a pyramid

What is the description of the translation from f(x)=9x+3 to g(x)=4x+3?

Answers:

A. Moved Up
B: Counterclockwise Rotation
C: Clockwise Rotation
D: Moved Down​

Answers

I’m pretty sure- B) counterclockwise rotation
-
-

Answer:

Clockwise rotation

Step-by-step explanation:

Took the test, the other answer here was incorrect

Where does the graph of cosine begin?

Answers

9514 1404 393

Answer:

  wherever you want it to

Step-by-step explanation:

The cosine function is defined for all real numbers. A graph of it can exist on any interval from -∞ to +∞. Since you make the graph, and it is impossible for you to graph x = -∞, the left side of the graph (where it "begins") will be the point you decide to use to start graphing.

Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.

Answers

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

so

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29

Hey can someone help me measure these angles

Answers

Answer:

A is acute and B is obtuse.

Step-by-step explanation:

This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.

A file that is 263 megabytes is being downloaded. If the download is 17.6% complete how many megabytes have been downloaded?

Answers

Answer:

46.288 megabytes

Step-by-step explanation:

megabytes that have been downloaded

= 17.6% of 263

[tex] = 0.176 \times 263 \\ = 46.288[/tex]

Solve for x.
3x + 7 = 28
O A. x=-7
OB. x= 2.3
O c. x=7
OD. = 11.6
E. x = 18

Answers

Answer:

The answer is C, x = 7.

Step-by-step explanation:

3x + 7 = 28

-7. -7

3x = 21

/3. /3

x = 7

The answer is C. X=7. The rest don’t even make sense

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

1. Supplementary angles

2.  alternate exterior

3. verticle angles

4. alternate interior

The box matches the numbers. 1 is the answer in the first box, and so on.

Let me know if you have any questions

HELP DUE IN 2 MINUTESS!!!! PLS HELP
An Urn contains 6 red marbles and 9 white marbles. A marble is drawn and put back into the urn. Both marbles were red. If another marble is drawn, what is the probability of it being white?

Answers

Answer:

3/5

Step-by-step explanation:

favorable outcomes/total number of outcomes=probability

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Previous extractions do not influence the probability

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