"PhysicalFun" is a physical center which opens 24 hours per day. Each member of “PhysicalFun" has an access card. Members would be charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59 p.m.) according to the accumulated number of hours of facilities used within a week. The weekly basic charge is $150 with an additional charge of $30 per hour. According to the company record, the number of hours a member spends in “PhysicalFun" in a week is normally distributed with mean 15 hours and standard deviation 2.8 hours. (a) What are the average and standard deviation of weekly charge of a member? (b) Suppose the middle 85% of weekly charge of a member is denoted by $(L1, L2). Find the values of L1 and L2. (c) The senior management suggests fixing the weekly charge per member at $700. Assume the number of hours a member spends in “PhysicalFun" would not be changed due to the change of the weekly charge calculation method. What proportion of members would pay more money than the original system? (d) How many hours does a member spend in “PhysicalFun" in a week so he / she would be beneficial by the new system?

"PhysicalFun" is a physical center which opens 24 hours per day. Each member of “PhysicalFun" has an access card. Members would be charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59 p.m.) according to the accumulated number of hours of facilities used within a week. The weekly basic charge is $150 with an additional charge of $30 per hour. According to the company record, the number of hours a member spends in “PhysicalFun" in a week is normally distributed with mean 15 hours and standard deviation 2.8 hours. (a) What are the average and standard deviation of weekly charge of a member? (b) Suppose the middle 85% of weekly charge of a member is denoted by $(L1, L2). Find the values of L1 and L2. (c) The senior management suggests fixing the weekly charge per member at $700. Assume the number of hours a member spends in “PhysicalFun" would not be changed due to the change of the weekly charge calculation method. What proportion of members would pay more money than the original system? (d) How many hours does a member spend in “PhysicalFun" in a week so he / she would be beneficial by the new system?

Name: "PhysicalFun" is a physical center which opens 24 hours per day. Each
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: "PhysicalFun" is a physical center which opens 24 hours per day. Each member of “PhysicalFun" has anaccess card. Members would be charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59 p.m.)according to the accumulated number of hours of fac

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The Colorado soccer league has set a budget of $1,972 for soccer balls. High-quality game balls cost…

A: let high quality balls is x let lower quality balls is y given budget is $1972

Q: According to the Housing Recommendations from the book, if a family has a gross annual income of…

Q: Esmeralda works eights hours a day from Monday to Saturday, with Tuesday as her rest day. If she is…

A: The gross pay is the total income received for the services. The taxes are not deducted from the…

Q: Ian is paid a base salary of $13,000 per year. In addition to this salary, he receives commission on…

A: Given : Ian's base salary is $ 13,000 per year. In addition to this salary, he receives commission…

Q: What would she need to get her total GPA up to a 3.4, if she only started with a 2.61?

A: Here the problem is Julie started with a GPA 2.61. She took 13 credits before. Now she is…

Q: Roger acts as an office assistant and is paid per hour. His hourly rate is ₱150.00. if everyday he…

A: Rogers hourly rate is 150.00 peso and he works 7.5 hours every day.

Q: If 1,725 feet of Romex cable sell for $286.36, what is the cost of 1,136 feet of this cable?

A: 1,725 feet of Romex Cable Sell for $286.36What is the cost of 1,136 feet of this Cable?

Q: An apartment annual lease is 550 per month (requiring a full-year stay). A monthly lease is 700 per…

A: Annual lease is 550 per month. Therefore total cost for 12 months is, A monthly lease is 700 per…

Q: Diane went shopping and purchased items at $39.23, $109.01, and $41.24. On her way home she bought…

A: Given: Diane purchased items at $39.23, $109.01, and $41.24 And she also bought $25.65 worth of gas…

Q: Mrs. Walton bought 2 small, 1 medium, and 1 large orange drinks at the Sunshine Orange Palace for…

Q: A tour boat at Lake of the Ozarks has 22 passengers on board. The total collected is $840.…

A: The objective of this question is to find out the number of passengers who paid full price and the…

Q: A city commission has proposed two tax bills. The first bill requires that a homeowner pay $1300…

A: let the assesses home value is x it is known that total bill =fixed +variable according to…

Q: The gary location will require 50 miles of transporting iron to the cowbell factory at a flare rate…

A: Flare rate is $100 plus 10 cents per mile.

Q: A movie theater charges their customers based on age group: (e) elder, (a) adult, and (c) child. The…

Q: From January through April (15 weeks), a local accounting and tax firm must complete the 3,000 tax…

A: Given query is to find the average rate ot complete the Tax filing.

Q: The last Harry Potter book went on sale at 12:01 a.m. on July 21, 2007. The publisher Scholastic…

A: The portion of a number can be evaluated by multiplying the fraction of the portion required to the…

Q: The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for…

Q: Bill earned $3,592 on his last biweekly check, and had year-to-date earnings of $107,841 Use the…

A: In 2021, Social security deduction is 6.2% Medicare deductions is 1.45,%

Q: 83 employees on the assembly line, each with gross earnings of $329 per week. What are the total…

A: The weekly salary of employees of Vanguard Fabricators =$329. The number of employees = 83. The…

Q: PCC Business students would like to know how much the average customer at Bank of America has in…

A: A random sample of 21 bank customers was selected to determine the average amount in the bank…

Q: a $10 service charge is deducted.

A: Given: Dee had a balance of $114 in her checking account at the beginning of the month.

Q: The government, through a subsidy program, distributes $27,000,000. If each person or agency spends…

A: Given that the government, through a subsidy program, distributes $27,000,000. If each personor…

Q: Rick Morton works as a delivery truck drive for $10.50 per hour with time-and-a-half fo over-time…

A: "Time and a half" means the amount paid will be half more than actual pay value. In this case, Rick…

Q: A college turtoring center pays math tutors $5.15 per hour. tutors can earn an additonal $1.20 per…

Q: Brenda's bank charges $4.50/month for up to 15 transactions and $0.45 for each additional…

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

Topic Video

Question

"PhysicalFun" is a physical center which opens 24 hours per day. Each member of “PhysicalFun" has an
access card. Members would be charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59 p.m.)
according to the accumulated number of hours of facilities used within a week. The weekly basic charge is
$150 with an additional charge of $30 per hour. According to the company record, the number of hours a
member spends in “PhysicalFun" in a week is normally distributed with mean 15 hours and standard deviation
2.8 hours.
(a) What are the average and standard deviation of weekly charge of a member?
(b) Suppose the middle 85% of weekly charge of a member is denoted by $(L1, L2). Find the values of L1
and L2.
(c) The senior management suggests fixing the weekly charge per member at $700. Assume the number
of hours a member spends in “PhysicalFun" would not be changed due to the change of the weekly charge
calculation method. What proportion of members would pay more money than the original system?
(d) How many hours does a member spend in “PhysicalFun" in a week so he / she would be beneficial by
the new system?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Application of Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A major league baseball team is ending its season and totaling up concession sales. Looking at receipts they have found that they made $10,486,525 in hot dog sales, $23,451,492 in large drink sales, $4,765,300 in soft pretzel sales and $1,342,653 in nacho sales. If they rounded each item's sales amount to the nearest million, what is the estimated money collected in concession sales?
Last year's freshman class at big state university totaled 5,304 students. Of those, 1,257 received a merit scholorship to help offset tuituon costs their freshman year (although the amount varied per student). The amount a student recieved was N($3,443, $450). If the cost of full tuition was $4,500 last year, what percentage of students who recieved a merit scholarship did not recieve enough to cover full tuition? (Round your answer to the nearest whole percent.)
Ms. Fortich has an amount due of ₱35,800.00 for her two days of check-in in Solea Hotel. She pays only 230£ in cash and tell the billing section to charge the sum unpaid using her Metrobank Credit Card. How much is 230£ in Philippine Peso currency? How much also would be deducted on her credit card to come up with the total of ₱35,800.00?
On January 1, 2009, Brendan owed $14,510 to his friend Alexis, who was kind enough not to charge Brendan any interest. Each month during 2009, Brendan paid Alexis some of the money he owed. If Brendan still owed Alexis $8,198 on January 1, 2010, what was the average amount of Brendan's monthly payments?$ Give answer to the nearest penny.
In a hypothetical state, the government imposes a tax on the consumption of alcohol. The tax rate is set at 15% of the retail price of alcoholic beverages. If a bottle of whiskey retails for $50 before tax, what will be the total price including tax?
The cost of a movie ticket at a local theater is $7.00 per child under 12 years old and $12.00 per adult. On a given day, 3500 people purchased a movie ticket, and the ticket costs collected totaled $29,000. How many children and how many adults purchased a movie ticket that day? (Rounded to the nearest
In filing his income tax, Raul reported annual contributions of $550 to a public radio station, $220 to a public TV station, $200 to a local food bank, and $285 to other charitable organizations, the monthly expense is
Acme Plumbing and Heating charges $45 for a service call plus $30 per hour. If the company estimates that a certain job will cost at least $255, how long will the job take?
Cindy found her first job after graduation from College through the classifieds. She was delighted when the offer came through at $19.50 per hour for the first 40 hours under 8am to 4pm, 9am to 5pm or 10am to 6pm. Time & a half will be paid for overtime and weekend pay. She worked her first pay period as follows:Monday: 8am – 6:30pm, Tuesday: 9am – 5:00pm, Wednesday 8:30am – 8:00pm, Thursday 9am to 4:30pm, Friday 10:30am to 7pm, Saturday 12noon to 10pm. Her company will withhold 3.9% for National Insurance. $120 is withheld in a matching pension plan investment. And $118.00 is withheld for medical insurance. What is her take home pay?
A hurricane caused $183,000 in damages to a building owned by Dreamscape Landscaping. The building was insured by several carriers for a total of $480,000 and all coinsurance requirements were met. If Erie Insurance Group is providing $144,000 of the total coverage, what is their share of the loss (in $)?
The Lincoln Parish Water Department charges a basic rate of $5.00 per month per household customer in shreveport plus an additional $0.004 for each additional gallon of water consumed in 2017. There are $800,000 household water consumers in the parish. a. Develop the revenue function for the Lincoln Parish Water Department. b. What was the total revenue for the month of February 2018, if the amount of water consumed by households in the parish were 75,000,000 gallons in the month? c. What is the marginal revenue of the Lincoln Parish water Department?
The Audubon society at Enormous State University (ESU) is planning its annual fund-raising "Eatathon." The society will charge students 84¢ per serving of pasta. The only expenses the society will incur are the cost of the pasta, estimated at 16¢ per serving, and the $340 cost of renting the facility for the evening. a. How many servings of pasta must the Audubon society sell to break even? b. What profit (or loss) results from the sale of 1,500 servings of pasta?