A town has 5000 residents. A survey finds that 81 residents
out of a random sample of 625 residents have red hair. The margin of
error for the survey is 4%. Find the interval in which the total number
of residents with red hair is most likely to lie.

Answers

Answer 1

The range from 63 to 99 is where the overall population of people with red hair is most likely to fall in the interval.  

To solve:

The margin of error is equal to z (p (p - 1) / n).

4% is the error margin, We may therefore change the values to:

0.04 = z ×√ (1 - 81/625) / 625)

Then, using a standard normal table, we determine the z-value for 95%, which is around 1.96.

0.04 = 1.96 × √(81/625) × (1 - 81/625) / 625)

When we solve for (1 - 81/625)/625", we get a value of around 0.0098.

Calculations for the range are now being achieved: 

81 - (0.0098 5000) = 63 

81 + (0.0098 5000) = 99

Therefore, the range of residents with red hair that contains the greatest likelihood of lying is from 63 to 99.

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Answer 2

The interval in which the total number of residents with red hair is most likely to lie is approximately between 545 and 745.

To find the interval in which the total number of residents with red hair is most likely to lie, we can calculate the confidence interval based on the survey results and the margin of error.

The margin of error is given as 4%, which means we have a 96% confidence level (100% - 4%). This corresponds to a z-score of approximately 1.96 for a standard normal distribution.

First, we calculate the standard error using the formula:

Standard Error = sqrt((p * (1 - p)) / n),

where p is the proportion of red-haired residents in the sample (81/625) and n is the sample size (625).

Standard Error = sqrt((81/625) * (1 - 81/625) / 625) ≈ 0.0179.

Next, we can calculate the margin of error by multiplying the standard error by the z-score:

Margin of Error = 1.96 * 0.0179 ≈ 0.035.

Now, we can calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error, respectively:

Lower bound = (81/625) - 0.035 ≈ 0.109.

Upper bound = (81/625) + 0.035 ≈ 0.149.

To find the range or interval, we can multiply the lower and upper bounds by the total number of residents (5000):

Lower bound (rounded) = 0.109 * 5000 ≈ 545.

Upper bound (rounded) = 0.149 * 5000 ≈ 745.

Therefore, the interval in which the total number of residents with red hair is most likely to lie is approximately between 545 and 745.

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Related Questions

Which angle is congruent to angle E?


A. ∡A
B. ∡B
C. ∡C
D. ∡D

Answers

Step-by-step explanation:

Statement: Line segments AE and CD intersect at point B.

Reason: Given

Statement: Line segments AB and BE are congruent.

Reason: Given

Statement: Angles BAC & BED are congruent.

Reason: Given

Statement: Angles CBA and DBE are congruent.

Reason: Vertical angles are congruent (Theorem)

Statement: Triangles ABC & EBD are congruent.

Reason: ASA Postulate.

Angle A as congruency (if that’s a word) is asking for which angle is identical to angle E, which is 60 degrees. Thus giving you A

(Middle school math) please help, thank you!

Answers

21 because you just multiply the 2 numbers.
21 feet 3x7 is 21 so ya

Help I Will Give You Brainliest!!!!

Answers

Answer:

B.

Step-by-step explanation:

its more right on the number line

Answer:

A.

Step-by-step explanation:

Because -0.5 is closer to 0 than -1.5. -0.5 is greater than -1.5.

If this answer has helped you please mark as brainliest

Help Asap Pls Hurry I Will Give Brainliest!

Answers

the answer is B
step by step explanation:
Triangle with 5,7, and 9 inches.

(New Rank Reward) The seniors on the student council bought a total of 36 plants to use in landscaping the front of the school. They bought some azaleas that cost $6 each and some lilies that cost $5 each. They spent a total of $196 on these plants. How many azaleas did the students buy?
(Hint: Use System of Equations)

Answers

Answer:

b

Step-by-step explanation:

Answer:

i believe it is B

Step-by-step explanation:

i hope i help have a great day! <33

Exit

Before each football game, a coin is flipped to decide who will be on offense and defense. If the last twelve coin tosses resulted in tails, which is most likely to happen on the next toss?
A. most likely heads
B. most likely tails
C. each result is equally likely to occur

Answers

each result is equally likely to occur!!
c. theres both a 50/50 chance that you will flip either heads or rails

a=1/2pa, solve for p
NO LINKS PLEASEE!! IM BEGGING YOU NO LINKSS!!!

Answers

Answer:

A = (1/2)Pa = Pa/2

 

You can multiply both sides by 2 to eliminate the fraction on the right side:

 

2A = 2(Pa/2) = Pa

 

Then divide both sides by a (or multiply both sides by 1/a) to leave P alone on the right side:

 

(2A)(1/a) = 2A/a = (Pa)(1/a) = P

 

Rewriting:

 

P = 2A/a

 

You could also have divided by a first then multiplied by 2; which you should do first does not matter in this example.

Step-by-step explanation:

A state government study surveyed a representative sample of child-care centers about childhood illnesses. Which statement BEST explains what makes the sample representative?

A
Every child-care center in the state participated in the study.

B
Every child-care center in the state had an equal chance of participating in the study.

C
Every child-care center was asked a series of randomly selected questions.

D
Every child-care center that participated must have reported childhood illnesses to the state.

Answers

B the answer....... chupapi

Answer:

A

Step-by-step explanation:

***20 POINTS-WILL MARK BRAINLIEST***
#1

Answers

Answer:

1.50400000

2.

Step-by-step explanation:

Answer:

1)50400000

2)980000

3)-5680000

Step-by-step explanation:

1)4.7*10^7=4.7*10000000=47000000+(3.4*10^6=3.4*1000000)=3400000+47000000=50400000

2)9*10^5=100000*9=900000+(8*10^4=10000*8)=900000+80000=980000

3)2.8*10^-5=-280000+(5.4*10^-6)=-5400000+(-280000)=-5680000

According to the line plot, how many runners ran 1/2 of a mile for their warm-up?


(WILL GIVE BRAINLYIEST TO BEST ANSWER)

Answers

Answer:

3 runners

Step-by-step explanation:

As shown in the graph, there are three x's associated with the 1/2 mile warm-up. Hope this helped!

Answer:

there are 3 runners that ran the 1/2 of a mile for their warm up.

Step-by-step explanation:

if you look at the picture below you will see the number 1/2 at the end and when you look  above that there are 3 x's so therefore the answer is 3 runners.  

≪ ≫

   

***WILL MARK BRAINLIEST*** Write in Scientific Notation! #2

Answers

1) 50,400,000 or 5.04 x 10^7

2) 820,000 or 8.2 x 10^5

3) 0.0000334 or 3.34 x 10^-5

Good luck! :)))
1. 3400470
2.820000
3. About 3.34 times 10 to the -5th power

Money was placed in a savings account and earned 3/4 % interest paid annually. Samantha, Tony and Anuyia each wrote an equation to show the amount of money in the account after one year with a balance of M dollars. T represents the total amount of money in the account.

Samantha’s Equation: T = 1.075M

Tony’s Equation: T = M + 0.0075M

Anuyia’s Equation: T = M(1 + 0.0075M)

Since none of the equations were written the same, they decided to see if their equations would give the same answers by using a $75 balance. Solve this problem using each student’s equation. Show your work. You may use a calculator for this part of the assessment. Show your work to receive full credit.

Answers

Answer:

what do u do

Step-by-step explanation:

Answer:

Step-by-step explanation:

Favorite Clothing Style? <3
Goth, Cottagecore, Emo, E-Boy/Girl, Alt, Etc?

Answers

Cottegecore, very different and cute
cottagecore !!!!! ahahah

Mrs. Byrne is at her house. She gets in her car and drives north 3.4 miles and stops at Target. Then she turns around and drives south 6.1 miles to go to Mrs. Mangini's house. How far is Mrs. Byrne's house from Mrs. Mangini's house? *
9.3 miles
3.3 miles
2.7 miles

Answers

Answer:

3.3 was as far of miles. .

Considering she turned around to get to Mrs. Manini’s house you would subtract 3.4 from 6.1, therefore 2.7 miles is the answer

On a math test, Olivia is told that the points (1, 3) and (3, 0) are two vertices of a rectangle. A. Find two additional coordinates that will form a rectangle
PLEASE ANSWER ASAP

Answers

Answer:

Coordinate set #1: (4, 0) and (4, 1)

Coordinate set #2: (2, 0) and (2, 1)

Step-by-step explanation:

REWARDING BRAINLIEST IF YOU DONT GET IT LMK IF YOU WANT ME TO MAKE A POST (you have to be early) OR TRY AND LOOK FOR A QUESTION NO ONE ANSWERED

Answers

Answer:

-5 down 6 across

Step-by-step explanation:

Answer:

Step-by-step explanation:

There is (-2,3), (6,3), and (-2,-3)

The first number for each one is the x position, the horizontal line,-2, 6, and -2

The second number is the y position, vertical line, 3, 3, and -3

The last point you need to plot on the graph is (6,-3), 6 is the x position, and -3 is the y position

Which two parallelograms have the same area?

Answers

Answer:

Idc

Step-by-step explanation:

I don’t really wanna help, so thanks for the points! Don’t scroll down! I’m warning you!!!

Figure 1 and Figure 4 have the same areas because the area of a parallelogram is just length times width.

Figure 1: 15×4=60 cm

Figure 2: 18×3=54 cm

Figure 3: 11×6=66 cm

Figure 4: 12×5=60 cm

As you can see, figure 1 and figure 4 have the same areas. So, C is the correct answer.

The answer is figure 1 and 4

A music store bought a CD set at a cost of ​$20. When the store sold the CD​ set, the percent markup was ​%20. Find the selling price.

Answers

Answer:

$24

Step-by-step explanation:

20 * (1 + 0.2) = 24

Answer:

22

Step-by-step explanation:

20+ 20% =22

20% is 0.2 so your answer is 22 dollars

I need help plssssss I will give brainliest and anything u want

Answers

Answer:

The answer would be x=34

Step-by-step explanation:

34 because (7x+34) pyrothem theroy makes it 343

Answer:

The answer would be x=34

Step-by-step explanation:

can i have brainlist pls

Help me plz!!!!!!!!!

Answers

Answer:

Part A - D:8

Part B - C:140°

Solving/Reasoning:

Part A: Vertical angles are always congruent.

Part B: If angles are supplementary, they need to equal 180 when added together. Since we know angle A is 40, we can subtract it from 180 and figure out what is left over that should be angle B.

40+B=180

B=180-40

B=140

Write an equation for: y equals three times the sum of x and two.

Answers

Answer:

y = 3x+2

Step-by-step explanation:

Maggie is buying a jacket. The expression shown represents the sales tax on the jacket price, j.

0.08j
Write an expression in terms of j to represent the total amount that Maggie spends on the jacket, including tax.

Answers

Answer: 1.08j

Step-by-step explanation: if we add 8% of something to itself, we now have 108%, right

1.08j

I’m not 100% sure tho

The expression represents the total amount that Maggie spends on the jacket, including tax is 1.08j.

What is Percentage?

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the cost of the jacket is j, while the tax on the jacket is 0.08j. therefore, the total cost of the jacket can be written as the sum of the cost of the jacket and the tax on the jacket.

Thus, the total cost of the jacket = Cost of jacket + Tax on the jacket

                                                       = j + 0.08j

                                                       = 1.08j

Hence, the expression represents the total amount that Maggie spends on the jacket, including tax is 1.08j.

Learn more about Percentage:

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Answers

Answer:

4.

Step-by-step explanation:

Answer is for exactly 4 days.

its 4, you were right bro

charlie's net worth is -35,354. which of the following is true?

Answers

The last one because he has negative money so he has a liability to pay that money back
last answer because it’s a negative

How do I take a sales discount off a sales total? -Ex
sales total: 2.00
discount: 20%

Answers

I believe you would subtract the total by the discount EX: 2.00-20%=1.6
20% is 1/5 of 100%, so figure out what 1/5 of 2 is. Then, subtract that number by 2.

do not falsely report this please

Answers

Answer: it’s B because the minimum is 203, Q1 is 217, median is 230, Q3 is 345 and then the maximum is 390 it’s easy

Help me pls
Pls pls pla

Answers

Answer:

That's a net- just use the same equation as lateral area then do surface area after that.

L=Ph

THEN....

A= L +2B

Answer:

Do you still need help?

Step-by-step explanation:

NEED HELP ASAP Kelly conducted an experiment. In each trial she flipped a coin and rolled a number cube that has sides labeled 1 to 6. The results are shown. What is the experimental probability that her next flip will be tails? Write your answer in probability notation.

Answers

well since a coin has two sides, heads and tails, the probability of getting tails would be 50%.
50%?

Hope this helps lol (:

Line segments AB and CD intersect at point E. Ray EF extends from point E.

Find the value of x. Then find the measures of angles CEF and BEF

Answers

Answer:

Their is a answer to your question I’ll put a link

Step-by-step explanation:

Use the link and multiple

x = 29
BEF = 58
CEF = 103

It says “If 4 apples cost $1.00, what would be the cost of 10 apples?” -

Answers

Answer:$8.50

Step-by-step explanation: If 4 apples are $1.00 that means that one apple would be 25¢. 10 apples would mean $8.00 and since 2 apples are left that would be 50¢. Hence, the answer would be $8.50

It might be 2 dollars and 50 cents because since every apple is 25 cents and if you buy 8 apples it would be 2 dollars and another 2 apples will be 50 cents but I’m not sure
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