The distribution of number of hours worked by volunteers last year at a large hospital is approximately normal with mean 80 and standard deviation 7. Volunteers in the top 20 percent of hours worked will receive a certificate of merit. If a volunteer from last year is selected at random, which of the following is closest to the probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90 ?.

Answers

Answer 1

Explanation:

Using the normal distribution, it is found that the probability that the volunteer selected will receive a certificate of merit given that the  number of hours the volunteer worked is less than 90 is closest to:

B 0.123

In a normal distribution with mean \muμ and standard deviation \sigmaσ , the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}Z=σX−μ

It 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, which is the percentile of X.

In this problem:

The mean is of 80, hence \mu = 80μ=80 .

The standard deviation is of 7, hence \sigma = 7σ=7 .

The minimum value is the 80th percentile, which means that it is X_mXm when Z has a p-value of 0.8.

The probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90 is P(X_m < X < 90)P(Xm<X<90) , which is the p-value of Z when X = 90 subtracted by the p-value of Z when X = X_mX=Xm , hence the p-value of Z when X = 90 subtracted by 0.8.

Z = \frac{X - \mu}{\sigma}Z=σX−μ

Z = \frac{90 - 80}{7}Z=790−80

Z = 1.43Z=1.43

Z = 1.43Z=1.43 has a p-value of 0.9236.

0.9236 - 0.8 = 0.1236, hence closest to 0.123, option B.

Answer 2

Using the normal distribution, it is found that the probability that the volunteer selected will receive a certificate of merit given that the  number of hours the volunteer worked is less than 90 is closest to:

Letter B

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

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

It 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, which is the percentile of X. In this problem:

The mean is of 80, hence [tex]\mu = 80[/tex]. The standard deviation is of 7, hence [tex]\sigma = 7[/tex]. The minimum value is the 80th percentile, which means that it is [tex]X_m[/tex] when Z has a p-value of 0.8.

The probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90, which is the p-value of Z when X = 90 subtracted by the p-value of Z when X = X_mX=Xm , hence the p-value of Z when X = 90 subtracted by 0.8.

[tex]Z = \frac{X - \mu}{\sigma}\\Z=\sigma X - \mu\\Z = \frac{90 - 80}{7}\\Z=790 - 80\\Z = 1.43Z=1.43[/tex]

Has a p-value of 0.9236.

[tex]0.9236 - 0.8 = 0.1236[/tex]

Hence closest to 0.123.

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Related Questions

Multiple-choice questions on advanced placement exams have five options: a, b, c, d, and e. A random sample of the correct choice on multiple-choice questions on a variety of ap exams1 shows that b was the most common correct choice, with of the questions having b as the answer. Does this provide evidence that b is more likely to be the correct choice than would be expected if all five options were equally likely? show all details of the test. The data are available in apmultiplechoice.

Answers

Answer:

the answer would be a

Explanation:

Which of the following statements is true of postmodern cultural spaces.

Answers

Postmodern cultural spaces are the current state of culture and society in the world. it describes events, norms, activities, art, practices etc. Thus, Existences is based upon the current cultural space in the world

Help plz lol………………………….

Answers

Answer:

105/330

Explanation:

drama:

25 students

both:

60 students

sports:

140 students

total:

225 students

330-225=105

1) What is The Full form Of WWW ?
2)What Is The full form of 3 Cs ?


2nd question is little confused .
plz Don't Spam .​

Answers

WWW is an abbreviation for World Wide Web ...

Corporation, Customer, Competitors (3C's) Model is a business model that focuses on the three key factors needed for success. This model was conceived by the famous business strategist, Kenichi Ohmae.

Answer:

• Full form of WWW :-

World Wide Web

WWW is an abbreviation for World Wide Web and it is commonly called the WEB. It is a system that is used to store documents and is accessed using URL(Uniform Resource Locator) which are accessible through Internet .

• The full form of 3 Cs :-

Corporation, Customer, Competitors

(3C's) Model is a business model that focuses on the three key factors needed for success. This model was conceived by the famous business strategist, Kenichi Ohmae.

Explanation:

Hope this helps you !!

In casabianca the boy's defining character trait is his (points 5).

Answers

The character trait that defines the boy in Casabianca is: his loyalty.

Casabianca is the name of the young boy who is one of the major character sin "Casabianca".

In Casabianca, the boy, out of loyalty and having a strong sense of duty, had to put up bravery to remain at his post on a French ship that caught fire during the attack of the British.

In spite of the obvious dangers, he remained at his post while waiting for orders from the captain (his dad).

Therefore, the character trait that defines the boy in Casabianca is: his loyalty.

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Select all radical expressions that are equivalent to 347.

Answers

Answer:

(3√7)4

81−−√7

Explanation:

The weight of a cart with a mass of 150 kg is how many newtons.

Answers

Answer:

1500 N

Explanation:

Weight = mg = 150 kg * 10 m/s^2

Weight = 1500 N

Use the formula for annual compound interest. A = P (1 StartFraction r Over n EndFraction)nt Remember, A refers to the total amount owed. Calculate the total amount that Tom would repay. $10,337 $11,337 $12,337 $13,337.

Answers

Answer:

11,337

Explanation:

Answer:

$11,337

Explanation:

In the poem "War Is Kind," which best describes the effect of the repetition of the lines "Do not weep. War is kind"? These lines illustrate the fact that people react very differently to suffering. These lines suggest that people who suffer from war are overreacting. These lines highlight the idea that war is not as brutal as people think. These lines emphasize the harshness of the scenes the speaker describes.

Answers

There are different kinds of poem. In the poem "War Is Kind," the best description of the effect of the repetition of the lines is that the lines emphasize the harshness of the scenes the speaker describes.

The line of the poem talks able the cruelty of war and how its effect on the people.

War is not a pleasant situation. Stephen Crane in his poem calls war "kind". This is because he laugh at the idea that young men often believe that going to war is noble and dying for one's country is an heroic act.

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Answer:

These lines emphasize the harshness of the scenes the speaker describes.

Explanation:

D on edge!

Marianna is working on improving her communication skills. To be a good listener she should.

Answers

-not interrupt
-put devices away
-repeat somethings she heard so others see she’s paying attention

Which group of people was one o fthe first to spread hte idea of worshipping only one god?.

Answers

Answer:

The first people to express the idea that there is only one God were the Jews, and then later on Christians (because Jesus Christ brought Christianity.)

Explanation:

I hope this helps! :D

Tim drives at an average speed of 80km.

Answers

Answer:

and? I dont know Tim.

Explanation:

4 t-shirts and a hat costs £31. 00 2 t-shirts and a hat costs £17. 0. How much does a t-shirt cost? how much does a hat cost?.

Answers

Answer:

T-Shirt Cost = £7

Hat Cost = £3

Explanation:

Important Information:

4 t-shirts and a hat costs £31.00

2 t-shirts and a hat costs £17.00.

Here we assume t-shirt be x and hat be y.

Explanation/Solution:

Based on the above information, the calculation is as follows:

4x + y = 31

2x + y = 17

Now subtract equation 2 from 1

2x = 14

x = 7

So y is

4(7) + y = 31

28 + y = 31

y = 3

Therefore we can conclude that The t-shirt cost £7 and Hat cost £3.

You work in a company that has begun selling annual subscriptions to its new online magazine. During december, the company sold the first subscriptions, receiving $600,000, which represents one-fifth of its revenues from all sources for the year. The entire amount has been collected in cash. As the end of the the year approaches, you notice that the company recorded the entire $600,000 to revenue and there is no plan to make an adjusting entry.

Answers

Answer:

a.cademics.helper

Explanation:

IG reach out get the answer from here

The accounting error that was committed and how it affected the financial accounts will be stated in the note.

What are financial accounts?

Financial accounts are defined as the process of documenting, compiling, and disclosing a company's financial statement transactions. The preparation of financial reports for external audiences like investors, creditors, and tax authorities to learn more about a company's performance is the primary goal of financial accounting.

The $600,000 that was raised from the sale of the new online magazine's annual subscription is the amount that will be raised for the upcoming 12-month period that will begin in December of the current year. Of the total, only $50000 will be noted for the year. Therefore, $550000 in related services for the following eleven months should be recorded as unearned income.

Thus, the accounting error that was committed and how it affected the financial accounts will be stated in the note.

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#SPJ5

Your question is incomplete, but probably your complete question was

You work in a company that has begun selling annual subscriptions to its new online magazine. During December, the company sold the first subscriptions, receiving $600,000, which represents one-fifth of its revenues from all sources for the year. The entire amount has been collected in cash. As the end of the the year approaches, you notice that the company recorded the entire $600,000 to revenue and there is no plan to make an adjusting entry.

Draft a memo around two paragraphs in length to your supervisor, which explains the following:

The accounting error that has been made

The effect this error will have on the financial statements dated at the end of December

The problems that might result

The importance of fixing the error and what needs to be done to fix the error

Make sure to include proper grammar, spelling, etc.

Which comparison between events in the passage would best support a claim that a significant theme of the passage is fulfillment?.

Answers

The comparison that illustrates the theme is Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.

The theme of a story simply means the central idea that's conveyed in a story. It illustrates what the author wants the readers to know in the story.

The comparison between events in the passage support a claim that a significant theme of the passage is fulfillment. This was illustrated as Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.

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A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of the balloon to be 75. 8° and 15. 6°. What is the length of the island to the nearest tenth of a mile?.

Answers

Answer:     Distance to close end of island is 3000/tan(75.8); distance to far end is 3000/tan(15.6). The difference is 9985.676 feet or about 1.9 miles.

Explanation:  2 explanation Balloon, flying or levitating, has no front to recon with, so two possible answers.

tan(90–15.6)+or-tan(90–75.08) * 3000= length of island

What amount of heat, in kj, would be involved in condensing 15. 8 g of ch₃oh? (∆hvap = 38. 0 kj/mol).

Answers

Considering the definition of enthalpy of vaporization, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is 18.8 kJ.

When a material changes phase from solid to liquid, or from liquid to gas, a certain amount of energy is involved in this phase change.

In case of phase change from liquid to gas, this amount of energy is known as enthalpy of vaporization (symbolized as ∆Hvap).

So, the enthalpy of vaporization is the amount of energy required to change a unit of mass (for example, moles or kg) of a substance from phase liquid to phase gas at constant temperature and pressure.

In this case, you know that enthalpy of vaporization is ∆Hvap = 38.0 kJ/mol.

On the other side, you want to vaporize 15.8 g of CH₃OH.  Then, being the molar mass of the compound 32 [tex]\frac{g}{mole}[/tex] (that is, the amount of mass contained in one mole), the number of moles to be vaporized is:

[tex]15.8 gramsx\frac{1 mole}{32 grams} =0.49375 moles[/tex]

Then, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is calculated taking into account the enthalpy of vaporization by:

0.49375 moles× 38.0 [tex]\frac{kJ}{mol}[/tex]= 18.76 kJ ≅ 18.8 kJ

Finally, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is 18.8 kJ.

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Scientists discover a new organism. The organism is autotrophic, with membrane-bound organelles. To which of these kingdoms does this organism most likely belong?.

Answers

Protista, would be the answer

Which sentences include a proper mla parenthetical citation? check all that apply.

Answers

Considering the available options, the sentences that include a proper MLA parenthetical citation include "Mahoney states that "the needs of speakers drive language change" (nsf.gov)."

What is MLA parenthetical citation?

MLA parenthetical citation is the citation method that utilizes the author's last name, the page number, or other relevant source information in parentheses from sentences used.

Other sentences that include a proper MLA parenthetical citation include the following:

Johnson claims that the English language began to deviate from its Germanic origins (4).

In the eighteenth century, English was "departing from its original Teutonic character"(Johnson 4).

Hence, in this case, it is concluded that the correct answer is options A, E, and F.

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Rami is graduating high school in the spring. He is interested in becoming a electrician. What are his options for learning this trade? select all that apply.

Answers

To be a licensed electrician requires deep knowledge of the field. Rami's  options for learning this trade are;

He should applied degree at a two year college or He can study for a bachelor's degree at a four year collegeApprenticeship and trade school

A licensed electrician job is not easy to obtain. It requires studying, years of being an apprentice or attending school, and years of  work experience.

To be a licensed electrician, these steps should be followed:

Earn a high school diploma or Its equivalent. Try and attend a trade or vocational-technical school. Sign up as an electrician apprentice.   Get licensed or certified.

See full question blow

Rami is graduating high school in the spring. He is interested in becoming a electrician. What are his option  learning this trade? Select all that apply.

applied degree at a two year college bachelor's degree at a four year college vocational training in the military apprenticeship and trade school going directly into the workplace

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Answer: 1) applied degree at a two year college

3) Vocational training in the military

4) apprenticeship and trade school

Explanation: did on edge :)

For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following table shows the number of each side order for the lunch specials purchased on one day, classified by the grade of the student.

Answers

The probability that the student that's selected will be in grade 10 given that the student ordered French fries as the side will be 71/248.

From the information given, the number of students that are in grade 10 is 105. Out of all the students, 34 had salad and 71 had French fries. The total students in the school that are French fries was 248.

Therefore, the probability that the student that's selected will be in grade 10 given that the student ordered French fries as the side will be calculated thus:

= Number of students who French fries in grade 10 / Total number of people that had French fries

= 71/248

In conclusion, the correct option is 71/248.

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What is "four times the sum of x and y" in a mathematical phrase?.

Answers

Answer:

4(x + y)

Explanation:

Have a nice day

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