A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be confident that its estimate is within of

Answers

Answer 1

Answer:  the minimum sample size needed = 145

Step-by-step explanation:

Formula for sample size:

[tex]Sample \ size =(\dfrac{z^*\times standard\ deviation}{margin \ of \ error})^2[/tex]

, where z* = Critical z-value

Given: Standard deviation = 2.15

Margin of error = 0.35

Z* for 95% confidence = 1.96

Sample size = [tex](\frac{1.96\times2.15}{0.35})^2[/tex]

[tex]=(12.04)^2\\\\=144.9616\approx145[/tex]

Hence, the minimum sample size needed = 145


Related Questions

which expression is equivalent to 9 +y+y+3​

Answers

answer- 2y+12. you add 9 and 3 and the 2 y’s
Mark brainliest please

Answer is : 2(y + 6)


The height of a cylinder is 10 yards. The volume of the cylinder is 1,540 cubic yards. What is the radius of the cylinder? Use 22/7 or 3.14 for pie

Answers

Answer:

Radius ≈ 7 yd

Step-by-step explanation:

Height = 10

Volume = 1540

Missing radius

Use the formula and work backwards

Formula : πr²h

Plug in the given info:

1540 = 3.14 * r² * 10

Work backwards:

1540/10 = 3.14 * r²

154 = 3.14 * r²

154/3.14 = r²

49.044 = r²

√49.044 ≈ 7

Radius = 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?

Answers

Answer:

18

Step-by-step explanation:

make 11 1/4 into improper fraction > 45/4

multiply by 2 so it has same denominator > 90/8

90/8 divided by 5/8 = 18

Answer:

18 binder clips

Step-by-step explanation:

The question basically asks, how many 5/8 inch binder clips can you add to get 11 1/4 inches.

To get the answer, you simply divide 5/8 by 11 1/4.

To divide first convert 11 1/4 to an improper fraction. To get an improper fraction you multiply the denominator by the whole number and then add the numerator. Here it would be (11*4)+1= 45 so 11 1/4 as a mixed fraction would be 45/4.

Now you can divide.

[tex]\frac{45}{4} / \frac{5}{8}[/tex]

To divide, use the chant, "keep, change, flip". Keep the 45/4, change the division to multiplication, and flip the 5/8.

You would get this:

[tex]\frac{45}{4} *\frac{8}{5}[/tex]

There are multiple ways to solve now. You can just multiply the numerator and then the denominators to get 360/20 and simplify to get 18 OR you can cross multiply and change the 45 to 9 because 45/5 is 9 and change the 8 to 2 because 8/4 is 2 and then multiply 9 by 2 to also get 18.

I hope it helps!

¿Cual es la fórmula del trapecio?

Ayuda plis

Answers

Answer:

Por lo tanto, el área de la fórmula de trapecio se da como: Área de un trapecio, A = h (a + b) / 2 unidades cuadradas. "h" es la altitud o altura. Sea a y b la longitud de los lados paralelos de un trapecio ABCD, como a es la longitud de la base y b es la longitud del lado paralelo a a.

Step-by-step explanation:

Find the diameter of each
circle below. If there is not
enough information, write
"cannot tell."
Find the radius of each
circle below. If there is not
enough information, write
"cannot tell."

Answers

5. 4inch
6. 6cm
7. Cannot tell
8. 50mm
9. Cannot tell
10. 1.5cm

if 12 people at a party shake Hands once and only once with everyone else how many handshakes occur

Answers

serian 144 apretones de manos en total

Answer:

66

Step-by-step explanation:

hope it helps :)

According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume that annual household income in Maryland follows a normal distribution with a median of and standard deviation of . a. What is the probability that a household in Maryland has an annual income of or more (to 4 decimals)

Answers

Answer:

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]

What is the probability that a household in Maryland has an annual income of X or more?

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.

draw a poster that symbolizes-the importance of grammatical signals in developing patterns of idea in communiting to your readers.You will be graded according to the rubrics provided. .an example is provided as your guide.​​

Answers

Task:

Draw a poster that symbolizes-the importance of grammatical signals in developing patterns of idea in communiting to your readers. You will be graded according to the rubrics provided. An example is provided as your guide.

Answer:

Zipper

Using grammatical signals in developing patterns of idea can be like a zipper; because it zips our ideas or combined some informations that we have into one which helps readers understand our message better.

What is Gramatical signals?

Grammatical signals are writing devices that serve to maintain text coherence. Short story is one of written medium where we can find these signals.

Why Gramatical signals important?

Gramatical signals is important because they signal relationship between sentence by means of back reference through the using of pronominal forms, determiners, repetition of key words, ellipsis, parallelism, synonyms and superordination. In short, they signal the relationship between new sentences and the one before it and they are also the important writing devices in text construction.

_________

#LetsStudy

Using grammatical signals in developing patterns of ideas can be like a zipper because it zips our ideas or combined some information.

What are Grammatical signals?

Grammatical signals are writing devices that serve to maintain text coherence. The short story is one of the written mediums where we can find these signals.

Important's of Grammatical signals

Grammatical signals are important because they signal relationships between sentences using backreference through the use of pronominal forms, determiners, repetition of keywords, synonyms, and superordination.

In short, they signal the relationship between new sentences and the one before them and they are also important writing devices in text construction.

Learn more about Grammatical signals;

https://brainly.com/question/10528558

MA + q ² A =g
Someone help me to do this Aquarian

Answers

Answer:

a=g/q2+m

Step-by-step explanation:Let's solve for a.

ma+q2a=g

Step 1: Factor out variable a.

a(q2+m)=g

Step 2: Divide both sides by q^2+m.

a(q2+m)

q2+m

=

g

q2+m

a=

g

q2+m

What is an equation that is true for all values of the variable

Answers

Answer:

x=x

Step-by-step explanation:

A bag contains 2 white balls, 3 red balls and a black ball. if a ball is selected at random, what is the probability that it is (a). not white
(b). red
(c). black​

Answers

Answer:

a) 2/3

b) 1/2

c) 1/6

Step-by-step explanation:

2 white balls + 3 red balls + 1 black ball = 6 balls all together so then you do the number of balls over 6

Answer:

P( not white )  =2/3

P ( red)= 1/2

P( black)  = 1/6

Step-by-step explanation:

2 white balls, 3 red balls and a black ball. = 6 balls

P( not white )  = number of balls not white / total = 4/6 =2/3

P ( red) = number of balls that are red/ total = 3/6 = 1/2

P( black) = number of balls that are black/ total = 1/6

In Centerville, 45% of the population is female, and 60% of the population commutes to work daily. Of the total Centerville population, 21% are females who commute to work daily. What percentage of the total Centerville population are males who do NOT commute to work daily?

Answers

Answer:

16%

Step-by-step explanation:

100%-45%=55%

60%-21%=39%

55%-39%=16%

the total Centerville population are males who do NOT commute to work daily is 16%.

The percentage of Centerville population of males do not commute to work is 16%.

Given that, in Centerville, 45% of the population is female, and 60% of the population commutes to work daily.

What is the percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The total Centerville population, 21% are females who commute to work daily.

Now, the percentage of Centerville population of males commute to work = 60 - 21

= 39%

Total percentage of male = 100 - 45 =55

The percentage of Centerville population of males do not commute to work

= 55 - 39 = 16%

Therefore, the percentage of Centerville population of males do not commute to work is 16%.

To learn more about the percentage visit:

https://brainly.com/question/24159063.

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Define the word term

Answers

a word or phrase used to describe a thing or to express a concept, especially in a particular kind of language or branch of study.

Answer:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

hope this helps

have a good day :)

Step-by-step explanation:

Mention 3 places
where you can get
pre-approved for a
car loan

Answers

Answer:

Auto Credit Express, Carvana, Capital one auto loan

4-2x=22 relationship can be written as

Answers

Answer:X=-9

Step-by-sep explanation:

4-2X=22

Move towards

⇒-2X=22-4

Multiply -1

⇒2X=-18

Divide by two

⇒X=-9

I’ll mark brainliest

Answers

Answer:

The answer is option A.

:)))))))

I think it’s a. I had the same test.

WILL GIVE BRAINLIEST!!!!!
Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts to be shared as much as possible while Cindy and Javier prefer for their posts to stay amongst their friends primarily.

Answers

Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.

What is an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

What is an example of an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

Learn more about exponential equations here: brainly.com/question/2883200

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Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.

What is an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

What is an example of an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

Karim had a packet of 200 chocolates. He gave 35% of them to his sister. How many chocolates were left with him?

Answers

Answer:

Karim had 130 chocolates left.

Step-by-step explanation:

The quick way to do this is to notice that if he gave away 35% of his chocolates, he must have 65% left. That comes about by doing

100% (which is what he started with) - 35% = 65%

65% of 200            Change 65% into a fraction

65/100 * 200          Multiply 200 * 65

13000 / 100            Divide by 100

130

Answer:

130 left

Step-by-step explanation:

35% of 200 chocolates is equal to 70 chocolates.

200-70=130 chocolates

PLEASE HELP: The exact value of cos 13π/8 is: A. 0.99. B. √2- √2/4 c. √2+√2/4 D. 0.38.​

Answers

The exact value of cos(13π/8) is 1/2 [tex]\sqrt{2-\sqrt{2} }[/tex].

What is trigonometric ratio?

Trigonometriic ratios are the ratios of the sides of a right angled triangle. sin , cos, tan, sec, cosec, cot are some of the trigonometric ratios. Sin is the ratio of perpendicular and hypotenuse, cos is the ratio if base and hypotenuse, tan is the ratio of perpendicular and base, secant is the ratio of hypotenuse and base, cosecant is the ratio of hypotenuse and perpendicular, cot is the ratio of base and perpendicular.

How to find value?

We have to find the value of cos (13π/8).

We have to use formula which is following:

cos[tex]Θ[/tex]=[tex]\sqrt{1/2(1+cos 2Θ}[/tex]

=[tex]\sqrt{1/2(1+cos(2*13 π/8)}[/tex]   (π=[tex]π[/tex])

=[tex]\sqrt{1/2(1+cos(3 π+π/4)}[/tex]

=[tex]\sqrt{1/2(1-cos(π/4)}[/tex]

=[tex]\sqrt{1/2(1-1/\sqrt{2} }[/tex]

=[tex]\sqrt{\sqrt{2}-1/2\sqrt{2} }[/tex]

=1/2[tex]\sqrt{2-\sqrt{2} }[/tex]

Hence the value of cos (13π/8) is [tex]1/2\sqrt{2-\sqrt{2} }[/tex].

Learn more about trigonometric ratios at https://brainly.com/question/24349828

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how do you write 6 x 6 x 6 x 6 x 6

Answers

Answer:

Exponent form

[tex] {6}^{5} [/tex]

Answer:

6^5

Step-by-step explanation:

6 x 6 x 6 x 6 x 6

There are 5 6's multiplied together

The base is 6 and the power is 5

6^5

HELP ASAP. Find the set.

Answers

Given:

The given sets are:

[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]

[tex]A=\{x|x\text{ is an odd natural number and }x<10\}[/tex]

[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]

[tex]C=\{x|x\in N\text{ and }3<x<5\}[/tex]

To find

The set [tex]B\cap U[/tex].

Solution:

We have,

[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]

[tex]U=\{1,2,3,4,5,6,7,8,9\}[/tex]

[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]

[tex]B=\{2,4,6,8\}[/tex]

Now, [tex]B\cap U[/tex] is the set that contains all the common elements of both sets B and U.

[tex]B\cap U=\{2,4,6,8\}[/tex]

[tex]B\cap U=B[/tex]

Therefore, the correct option is A.

Question 1 Multiple Choice Worth 5 points)
(03.08 LC)
What percentage of grocery store purchases are not planned purchases?
60%
20%
40%
10%

Answers

Answer:

60%

Step-by-step explanation:

is it FLVS right?

i hope this is right

enjoy

х- а
x-b
If f(x) = b.x-a÷b-a + a.x-b÷a - b
Prove that: f (a) + f(b) = f (a + b)​

Answers

Given:

Consider the given function:

[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}[/tex]

To prove:

[tex]f(a)+f(b)=f(a+b)[/tex]

Solution:

We have,

[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}[/tex]

Substituting [tex]x=a[/tex], we get

[tex]f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}[/tex]

[tex]f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}[/tex]

[tex]f(a)=0+a[/tex]

[tex]f(a)=a[/tex]

Substituting [tex]x=b[/tex], we get

[tex]f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}[/tex]

[tex]f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}[/tex]

[tex]f(b)=b+0[/tex]

[tex]f(b)=b[/tex]

Substituting [tex]x=a+b[/tex], we get

[tex]f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}[/tex]

[tex]f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}[/tex]

[tex]f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}[/tex]

[tex]f(a+b)=\dfrac{b^2-a^2}{b-a}[/tex]

Using the algebraic formula, we get

[tex]f(a+b)=\dfrac{(b-a)(b+a)}{b-a}[/tex]          [tex][\because b^2-a^2=(b-a)(b+a)][/tex]

[tex]f(a+b)=b+a[/tex]

[tex]f(a+b)=a+b[/tex]               [Commutative property of addition]

Now,

[tex]LHS=f(a)+f(b)[/tex]

[tex]LHS=a+b[/tex]

[tex]LHS=f(a+b)[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

in a fruit basket there were 24 oranges and the rest were lemos if 20% of fruits were lemons how many fruits were there altogether

Answers

Answer:

30

Step-by-step explanation:

.2(24 + L) = L

.48 + .2L = L

.48 = .8L

6 = L

24 + 6 = 30

ASAP show work pleaseee for all of them. 20pst

Answers

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful...

What is the difference between a bar chart and a histogram?

Answers

Answer:

In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.

bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.

but,

Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.

9-3(x-6) = 2(x-4)-10

Answers

Answer: x = 9

Step-by-step explanation: your welcome

Answer:

x=9

Step-by-step explanation:

9-3(x-6)=2(x-4)-10

9-3x+18=2x-8-10

9-3x+18=2x-18

9+3x+18=+3x-18

9+18=5x-18

9+18=5x+18

45=5x/5

45/5 = x

9=x

Draw and label the solution to each

Answers

Total Area
A- 63.45
B- 66.25
C- 30.21
D- 85
E- 143.75
F- 81.59

What angle is supplementary to 123.9

Answers

The answer is “56.1” ( as you need to simply subtract 123.9 from 180 ) as supplementary means the sum of the two angle will be 180
56.1(subtracting 123.9 from 180)

Find the volume of the prism

Answers

Answer:

D

Step-by-step explanation:

you just add it all up 10+6+8

Answer:

volume of the prism=8×6×10

=480 in²

Other Questions
In act lll,scene ii of Julius Caesar, who gave their reasons why ceasar was killed Students should either a.) translate, or b.) conjugate each subject/verb combination.abrazar/tucantar/nosotrosabrazar/yotomar/ellostomar/tcaminar/tuabrazar/nosotroscaminar/ellosterminar/elloshablar/el Which of the following best explains the division of Africa shown in the map?O Most of Africa was controlled by indigenous peoples who rebelled against colonial powers.O Many Eastern nations sought influence in the world by founding colonies in Africa.O Colonial powers had acquired African territory by using methods such as annexation and overthrow.O European nations had colonized an equal amount of territory throughout the African continent. Determine the value of angle V in the picture below. Please help Earth's atmosphere _____. is made mostly of oxygen and carbon dioxide protects the surface from meteoroids and comets reflects most of the sun's heat and light back into space is very thin compared to the moon's atmosphere Pls only help if you know the correct answer! Thanks! :) In April 2010, an oil rig exploded in the Gulf of Mexico. Millions of gallons of oil leaked into the Gulf, devastatingwildlife. Scientists tried to clean up the spill in a variety of ways. One approach involved the use of oil-eatingbacteria. However, scientists were divided on its effectiveness. Some maintained that the bacteria were "fairlyfast" in cleaning the spill. Officials reported that the Gulf would make a full recovery by 2012. Yet Samantha Joye,a marine scientist, disagreed. She conducted a study of the sea floor. She found that the bacteria had cleanedonly 10 percent of the oil. She reported that the Gulf would take many years to recover.Do It!The reports wereignoredB conflictinghumorousD appreciated Which reform established by Taft advocated for improving the lives of family, addressing abuse and neglect, and later became part of the Department of Health and Human Services?a) the Childrens Bureaub) the Payne-Aldrich Tariff Actc) the Federal Reserve system d) the food and Drug Administration Which of these terms is another term for clustering?free writingwebbingloopingspatial order Pamela wants to learn more about the career preferences of students in her school. She interviews a number of students from the advanced science class. Why is this sample likely to be biased? De que maneira o desenvolvimento tecnolgico, ocorrido no sculo XIX, transformou o cotidiano das pessoas? The volume of a cylinder is 47x cubic units and its height is x units.Which expression represents the radius of the cylinder, in units?O 2xO 4xO 2pix2O 4pix2 which of the following question types of specific values to determine the importance of a particular item?force choiceopen endedrank orderrating scale The rate equation for a reaction between substances C and D is:rate = k[C]^2 [D]^2The initial rate is found to be 7.5 x 10^-3mol dm^-3s^-1when the initial concentration ofC is of 0.25 mol dm^-3and the initial concentration of D is 0.50 mol dm^-3.Calculate the value of the rate constant, k, at this temperature and deduce its units.*Important Asap please * Select the correct answerConsider event A and event 8. What is the probability that event Boccurs, given that event A has already occurred?OAPB n A)PLA). P(8),P(BA)P(A)OC. P(BA)P(8)ODPIBUA)P(B)ResetNext My little sister need help! The type of government in which citizens have a say in what happens is known as __________.A.democracyB.republicC.monarchyD.aristocracy Which list of words and phrases would be most useful when drafting a comparative literature essay?opinion, analysis, evaluationO first, next, until, thenwhile, both, only one, howeverof, into, because of, besides Which of the following describes an adaptation that relates to reproduction?A. Hawks have sharp beak to help them quickly catch their preyB. Elks attach leaves and grasses to their antlers to help them appear largerC. Polar bears have white fur to help them blend into their surroundingenvironmentD. Whales have a thick layer of fat called blubber to help keep them warm The Rocky Mountain News (January 24, 1994) indicated that the 20-year mean snowfall in the Denver/Boulder region is 28.76 inches with standard deviation of 7.5 inches. However, for the winter of 1993-1994, the average snowfall for a sample of 32 different locations was 33 inches.Required:Does this indicate thatthe snowfall for the 1993-1994 winters has higher than the previous20-year average?