A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.09 reproductions per hour. Assuming that the mean is 6.6 reproductions and the variance is known to be 4.84, what is the minimum sample size required for the estimate? Round your answer up to the next integer.

Answers

Answer 1

Answer:

The minimum sample size is [tex]n = 2295 [/tex]    

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.09[/tex]

    The sample mean is  [tex]\= x = 6.6[/tex]

     The variance is  [tex]\sigma^2 = 4.84[/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma = \sqrt{\sigma^2}[/tex]

=> [tex]\sigma = \sqrt{4.84 }[/tex]

=> [tex]\sigma = 2.2[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>   [tex]n = [\frac{1.96  *  2.2 }{0.09} ] ^2[/tex]

=>   [tex]n = 2295 [/tex]    


Related Questions

There are 3 students on a team for a relay race. How many teams can be made from 32 students?

Answers

Answer:

10 teams, 2 students would be left out I think.

Hope this helped :)

10 teams could be made but 2 students would be left out

Can you guys help me pls

Answers

The slope would be y/x = 3/1 = 3
Answer: 3

Explanation: When answering a question like this check to see if the line is a negative slope : or a positive slope:

use the steps: RISE-over-RUN

FOR EXAMPLE- this would be rise 3 run 1

3/1 or 3 :)

Megan works at Amazon warehouse each crate can hold 32 boxes she needs to ship 712 how to divide into 22 crates?

Answers

She needs 23 boxes because 22.25 boxes doesn’t make sense.
The answer is 23 boxes not 22

answer and show work

Answers

Answer:

3x+2/4>-20

3x+2>-80

3x>-80-2

3x>-82

x>-82/3

Also simplified to, x>-27 1/3
B is the correct answer

(I need help quick this assignment is due today)what is 421.53 in expanded form? I will give you 11 points.

Answers

Answer:

Expanded Notation Form:

 421.53 =

 400  

+ 20  

+ 1  

+   0.5

+   0.03

Expanded Factors Form:

   421.53 =

 4 × 100  

+ 2 × 10  

+ 1 × 1  

+ 5 ×   0.1

+ 3 ×   0.01

Expanded Exponential Form:

 421.53 =

4 × 102

+ 2 × 101

+ 1 × 100

+ 5 × 10-1

+ 3 × 10-2

Word Form:

421.53 =

four hundred twenty-one and fifty-three hundredths

Step-by-step explanation:

Answer:

Step-by-step explanation:

400  

+ 20  

+ 1  

+   0.5

+   0.03

a pice of land was sold for rs. 1,20,000 a broker who recived 1.5% of commision. THe broker gets amount of Rs.____

Answers

Answer:

If you meant rs.1,200,000 then the answer would be rs.18,000

If you meant rs.120,000    then the answer would be rs.1,800

Step-by-step explanation:

Please mark B R A I N L I E S T

All of the following are terminating decimals except _____.

Answers

We would have to divide every single one of these fractions to find out if they were terminating decimal. 2/5 = 2divided by 5 = 0.4 as you can see no many other repeating numbers after the decimal. We don't have to do the rest since we now know the answer is 2/5.

A builder was building a fence. In the morning, he worked for 25 of an hour. In the afternoon, he worked for 910 of an hour. How many times as long as in the morning did he work in the afternoon?


Write a division equation to represent this situation, then answer the question.



Answers

9514 1404 393

Answer:

  (9/10)/(2/5) = ratio of work times

  2 1/4 times as long

Step-by-step explanation:

Given:

  2/5 hours work in the morning

  9/10 hours work in the afternoon

Find:

  an equation for how many times as long was afternoon work compared to morning work

  the equation solution

Solution:

  a/m = r . . . . ratio of afternoon work to morning work

  (9/10)/(2/5) = r . . . equation

  (9/10)/(4/10) = r

  9/4 = r = 2 1/4 . . . solution

The builder worked 2 1/4 times as long in the afternoon as in the morning.

5. A refrigerator is on sale for $1200. That is
25% off regular price. What was the original
price?

Answers

Answer: The original price is $4,800

Step-by-step explanation:

$1,200=25%

25%*4=100%

$1,200*4=$4,800=100%

The police in a certain city are investigating whether the proportion of minor traffic accidents is greater on Friday nights than on Saturday nights

Answers

what city lol? sorry i just need to answer so i can ask question bc i’m lost lol

subtract -2/3- (-2/5)

Answers

Answer:

- 4/15

Step-by-step explanation:

The  - and - make a + so -2/3 + 2/5

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Seven more than twice a number is equal to 21​

Answers

Answer:

x = a number

7 + 2x = 21

Subtract 7 from both sides

2x = 14

Divide both sides by 2

x = 7

7 is the only number that makes this sentence true.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Do the steps in reverse

Subtract 7 from 21

14

Then divide by 2

7

Hope this helps :)

Please consider Brainliest :)

126×(−55)+126×5 STEP explanation ​

Answers

Your answer is: -6300

Hope this helps and happy holidays!!

1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment

of $25 per month. What is the rate of change, including units ?

Answers

Given:

Charlie bought a new computer for $450 with his credit card.

He plans to pay the minimum payment  of $25 per month.

To find:

The rate of change.

Solution:

Let y be the remaining amount of loan after x months.

Initial amount of loan = $450

Payment of one month = $25

Payment of x months = $25x

Now,

Remining amount = Initial amount of loan - Payment of x months

[tex]y=450-25x[/tex]     ...(i)

The slope intercept form is

[tex]y=mx+b[/tex]     ...(ii)

where, m is slope and b is y-intercept.

From (i) and (ii), we get

[tex]m=-25[/tex]

Therefore, the rate of change is -25 dollars.

Will somebody help real fast I will give brain??​

Answers

Answer:

the aswer is A

Step-by-step explanation:

Answer:

D. -4,1,7,15

Step-by-step explanation:

Range is the y axis

Solve for x helppp(10 points)

Answers

Answer:

x = n - m

Step-by-step explanation:

To solve for x we have to isolate it.

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]

First, let's subtract  [tex]m^{2}[/tex] from both sides of the equation:

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] -  [tex]m^{2}[/tex] = [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now the equation looks like this: [tex]x^{2} \\[/tex] =  [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]

The square root and the exponents cancel out on both sides and you're left with: x = n - m

To solve for x the equation is: x = n - m

I hope this helps! :)

what is the measure of the larger angle in this degree?​

Answers

Answer:

A straight line is equivalent to 180 degrees with that in mind,

(2.4x)+(9.6x)=180
2.4x+9.6x=180
12x=180
12x/12=180/12
x=15

Now to find the measurement of the larger angle,

9.6*15=144
Just in case you need it
180-144=36
Which is your smaller measurement.

Solve and graph.
3<4-2x<6

Answers

Answer:

X ( - 1, 1/2)

Step-by-step explanation:

4 - 2x > 3

4 - 2x < 6

Then solve the inquality for x

X< 1/2

X > - 1

Then u get the answer x ( - 1, 1/2)

Note: [ 1/2 is 1 over 2]

Step-by-step explanation:

3<4-2x 4-2x<6

-1<-2x -2x<2

1/2>x x>-1

x<1/2

the graph shown in pic

Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?

Answers

Answer:

478miles

Step-by-step explanation:

32=1gallons 32×15 = 510miles

15g

510- 32= 478miles

A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle

will mark brainliest asap.

answer choices

Yes, it is a right triangle because 72 + 52 = 82.

No, it is not a right triangle because 72 + 52

82.

Yes, it is a right triangle because 72 + 52

82.

No, it is not a right triangle because 72 + 52 = 82.

Answers

Answer:

Step-by-step explanation:

O=0O

KO[K]

Which expression is equivalent to 3 radical x^5y

Answers

Answer:

√3 x^5y

√3=1.7

1.7 • x^5 • y

1.7 • X^4• x• y.

Step-by-step explanation:

hope it helps.

have a wonderful day!

Answer:

x^5/3 y^1/3

Step-by-step explanation:

i took the test and got it correct.

Question 1 of 5 Find the difference. (12m + 1) - (5m - 4) O A. 7m + 5 O B. 17m-3 O C. 17m+ 5 D. 7 m - 3​

Answers

Answer: 7m + 5

Step-by-step explanation:

Distribute the Negative Sign:

=12m+1+−1(5m−4)

=12m+1+−1(5m)+(−1)(−4)

=12m+1+−5m+4

Combine Like Terms:

=12m+1+−5m+4

=(12m+−5m)+(1+4)

=7m+5

Given triangle MAT is an isosceles triangle and point H is the midpoint if MT. Prove triangle MHA is congruent to triangle THA

Answers

Answer:

There is everything in the image

The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.

A triangle MAT is an isosceles triangle and point H is the midpoint of MT.

In triangle ΔMHA and ΔTHA, we have

AH = AH (Common sides)

MH = HT (H is the midpoint of MT)

∠AMH = ∠ATH (Isosceles angles)

The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

APQR is an equilateral triangle. One side measures 5x - 7 and another side 3x + 11. Find the length of each
side.

Answers

Step-by-step explanation:

x=9

therefore,

each sides length is 9

5x-7=3x+11

=5x-3x=7+11

=2x=18

=x=9

See the attachment plsss

my favorite snack after a long day at school

Answers

Answer:

My dog

Step-by-step explanation:

Answer:

cheese doodles is it.

Also subscribe to Random Topics trending in youtub.

Step-by-step explanation:

A patient has been ordered Oxycodone 10mg Q6H PO for 5 days. How many 10mg tablets should be dispensed?

Answers

Answer:20 tablets

Step-by-step explanation:

Asked my MD father.

Answer: 20 tablets
I did the equation I’m my head

A figure has vertices at K(5, 5), L(5, 3) , and M(1, 1) . After a rotation 90°CCW around point (0, 1) , what are the coordinates of K

Answers

Answer:

(-5,5)

Step-by-step explanation:

Help me and also show steps thanks will mark brainliest.

Answers

2. If you follow the main equation y=mx + b using the numbers provided by the table, you will be able to generate the adequate equation. In this case is: y=7/3x + 1

3. Every second the bird drops 50 FT of altitude.

1. Let f(1) = 722 – 5x + 3 and g(1) = 22² + 45 – 6.7x2-5x+3
Part A: Find f (x) + g(x)|
Part B: Find f (a) - g()
Part C: Find g(a) - f(x)
GICI

Answers

Answer:

The correct answer is B

help me please click link to go to question

brainly.com/question/19566932?answeringSource=feedPublic%2FhomePage%2F2

Answers

Answer:

okay thank you. ummmm yes well it's not loading

Other Questions
7(4p+2q+3r)equal what Why is it important to read division problems carefully before giving the answer A 13.8 g of zinc is heated to 98.8 c in boiling water and then dropped onto a beaker containing 45.0 g of water at 25.o C .when the water and metal come to thermal equilibrium the temperature is 27.1C .what is the specific heat capacity What is the answer please? Write the fraction as a percent.37/50 What best describes President John F. Kennedy's main purpose for giving the speech? "Finally, whether you are citizens of America or citizens of the world, ask of us here the same high standards of strength and sacrifice which we ask of you. With a good conscience our only sure reward, with history the final judge of our deeds, let us go forth to lead the land we love, asking His blessing and His help, but knowing that here on earth God's work must truly be our own."A. to reflectB. to inform C. to entertain D. to persuade Please answer quickly! A container holds 3.41103mol of carbon dioxide (CO2). After the addition of 8.41104mol of carbon dioxide, the volume of the container increases to 95.2mL, with the temperature and pressure remaining constant. What was the initial volume of the container? DON'T ANSWER IF YOU NEVER READ "The richer the poorer".Please answer the following essay question:Consider the way both Lottie and Bess decided to live their lives. Which sister is actually richer? Why? Explain your answers using specific examples from the story.Answer in paragraph form using 5-7 complete sentences. Express the perimeter of the figure as an expression in simplest form. (x^2 will be representing "x squared/x raised to the second power") *1 pointCaptionless Image A 11.8x^4 + 6x^2B 17.8xC 17.8x^2D 11.8x^2 + 6x Up until my father treasured acouple of letters from his youngerdays, he revisited them quiteoften and took great comfort inthem.Yet, he never spoke about themor allowed us access. His denialdrove us curious. And that day,we could go through the letterthat told us the story of.........?Now, it's time to wear yourcreative hats and tell usthe touching storythat unfoldedfrom the letter!Please answer as soon as possible. 2. Why Bengali is called mixed origin- Explain with your logic3. What is the impact of the Sena Dynasty, Pala Dynasty, and Mughal emperor in Bangladesh? Read the excerpt from "Elevator Systems of the Eiffel Tower, 1889" by Robert M. Vogel.The first complete elevator machine in the United States, constructed in 1855, was a complex and inefficient contrivance built around an oscillating-cylinder steam engine. The advantages of an elevator system independent of the mill drive quickly became apparent, and by 1860 improved steam elevator machines were being produced in some quantity, but almost exclusively for freight service. It is not clear when the first elevator was installed explicitly for passenger service, but it was probably in 1857, when Otis placed one in a store on Broadway at Broome Street in New York.In the decade following the Civil War, tall buildings had just begun to emerge; and, although the skylines of the worlds great cities were still dominated by church spires, there was increasing activity in the development of elevator apparatus adapted to the transportation of people as well as of merchandise. Operators of hotels and stores gradually became aware of the commercial advantages to be gained by elevating their patrons even one or two floors above the ground, by machinery. The steam engine formed the foundation of the early elevator industry, but as building heights increased it was gradually replaced by hydraulic, and ultimately by electrical, systems.Which sentence most directly supports the development of the central idea?The first complete elevator machine in the United States, constructed in 1855, was a complex and inefficient contrivance built around an oscillating-cylinder steam engine.It is not clear when the first elevator was installed explicitly for passenger service, but it was probably in 1857, when Otis placed one in a store on Broadway at Broome Street in New York.In the decade following the Civil War, tall buildings had just begun to emerge; and, although the skylines of the worlds great cities were still dominated by church spires, there was increasing activity in the development of elevator apparatus adapted to the transportation of people as well as of merchandise.Operators of hotels and stores gradually became aware of the commercial advantages to be gained by elevating their patrons even one or two floors above the ground, by machinery. What was one religious reform established by TutankhamunABCD 1/8 of a number is less than or equal to 3 If I saved up $10 every 2 weeks, in a year I would have saved up $260. But, if I had saved up $20 per month, I would only have saved $240. Why do they have different totals? You have to match the letter nexts to the numbers 1. Parallelogram WXYZ is shown on the coordinate plane ect... Added photo plz help!! the nash corp is considering four investments. Which provides the highest after-tax return for Nash corp. if it is in the what is child marriage do you think and medicine we encouraged the Subah your answer How do you divide decimals 10.305 divided by2.5?