What is the dumb elevator energy requirement of Manhattan?

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Math problem rooted in Solar Energy

March 1, 2023
We hinted that even if we covered every rooftop with a solar panel in Manhattan it would be difficult to meet the energy needs to elevators alone. Estimate how much of Staten Island (% of total area of the island) would have to be covered with Solar Panels to
1. Meet the dumb elevator energy requirements of Manhattan
2. Meet the total energy needs of Manhattan
3. Meet the total energy needs of Manhattan and Staten Island

And estimate costs of land and panels. Cite your work.
1. What is the dumb elevator energy requirement of Manhattan?

  • Mass x Height
  • Elevator=1200g
  • Height–Each Floor is 4ft, Each Elevator Car aprx 12ft Height

Develop the estimated regression equation that could be used to predict the percentage of games won, given the average number of passing yards per attempt and the number of interceptions thrown per attempt. What proportion of variation in the sample values of proportion of games won does this model explain?

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Assignments 5&6 (Due on 4/7)

  1. Studying and Grades. A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 156 students who took the course last semester are provided in the file MktHrsPts.
  2. Develop a scatter chart for these data. What does the scatter chart indicate about the relationship between total points earned and hours spent studying?
  3. Develop an estimated regression equation showing how total points earned is related to hours spent studying. What is the estimated regression model?
  4. Test whether each of the regression parameters β0 and β1 is equal to zero at a 0.01 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable?
  5. How much of the variation in the sample values of total point earned does the model you estimated in part (b) explain?
  6. Mark Sweeney spent 95 hours studying. Use the regression model you estimated in part (b) to predict the total points Mark earned.
  7. Mark Sweeney wants to receive a letter grade of A for this course, and he needs to earn at least 90 points to do so. Based on the regression equation developed in part (b), how many estimated hours should Mark study to receive a letter grade of A for this course?
  8. NFL Winning Percentage. The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the conference (Conf), average number of passing yards per attempt (Yds/Att), the number of interceptions thrown per attempt (Int/Att), and the percentage of games won (Win%) for a random sample of 16 NFL teams for the 2011 season (NFL web site).
  9. Develop the estimated regression equation that could be used to predict the percentage of games won, given the average number of passing yards per attempt. What proportion of variation in the sample values of proportion of games won does this model explain?
  10. Develop the estimated regression equation that could be used to predict the percentage of games won, given the number of interceptions thrown per attempt. What proportion of variation in the sample values of proportion of games won does this model explain?
  11. Develop the estimated regression equation that could be used to predict the percentage of games won, given the average number of passing yards per attempt and the number of interceptions thrown per attempt. What proportion of variation in the sample values of proportion of games won does this model explain?
  12. The average number of passing yards per attempt for the Kansas City Chiefs during the 2011 season was 6.2, and the team’s number of interceptions thrown per attempt was 0.036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs during the 2011 season. Compare your prediction to the actual percentage of games won by the Kansas City Chiefs. (Note: For the 2011 season, the Kansas City Chiefs’ record was 7 wins and 9 losses.)
  13. Did the estimated regression equation that uses only the average number of passing yards per attempt as the independent variable to predict the percentage of games won provide a good fit?

 

Suppose that in the actual survey of 50 prospective customers, 4 customers subscribe to the 3-For-All offer. What does this tell you about the previous estimate of the proportion of customers who would subscribe to the 3-For-All service offer?

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Chapter 5 case- Managing Ashland MultiComm Services

1. If a sample of 50 prospective customers is selected and no free premium channels are included in the 3-For-All service offer, given past results, what is the probability that:

a. Fewer than 3 customers will subscribe to the 3-For-All service offer?

b. 0 customer or 1 customer will subscribe to the 3-For-All service offer?

c. More than 4 customers will subscribe to the 3-For-All service offer?

d. Suppose that in the actual survey of 50 prospective customers, 4 customers subscribe to the 3-For-All offer. What does this tell you about the previous estimate of the proportion of customers who would subscribe to the 3-For-All service offer?

The link below is the professor provides example and explained the assignment. Professor want me to submit the assignment in the excel format.

  • https://cdnapisec.kaltura.com/index.php/extwidget/preview/partner_id/1079102/uiconf_id/37784011/entry_id/1_fdd3qycl/embed/dynamic

Which major has the greatest number of graduates? Which major has the highest average starting monthly salary? Use the PivotTable to determine the major of the student with the highest overall starting monthly salary. What is the major of the student with the lowest overall starting monthly salary?

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Assignment 

WEBSITES

Q1 (20 pts). In a recent report, the top five most visited English-language websites were google.com (GOOG), facebook.com (FB), youtube.com (YT), yahoo.com (YAH), and Wikipedia.com (WIKI). The most-visited websites for a sample of 50 Internet users are shown in the following table:

 

YAH WIKI YT WIKI GOOG
YT YAH GOOG GOOG GOOG
WIKI GOOG YAH YAH YAH
YAH YT GOOG YT YAH
GOOG FB FB WIKI GOOG
GOOG GOOG FB FB WIKI
FB YAH YT YAH YAH
YT GOOG YAH FB FB
WIKI GOOG YAH WIKI WIKI
YAH YT GOOG GOOG WIKI

 

Conduct your analyses using the data file (WebSites.xlsx), and answer the following questions:

  1. Are these data categorical or quantitative?
  2. Provide frequency and percent frequency distributions.
  3. On the basis of the sample, which website is most frequently the most-often-visited website for Internet users? Which is second?

 

COMMUTE TIME

Q2 (20 pts). The average time that Americans commute to work is 27.7 minutes (Sterling’s Best Places). The average commute times in minutes for 48 cities are as follows:

 

Albuquerque 23.3
Atlanta 28.3
Austin 24.6
Baltimore 32.1
Boston 31.7
Charlotte 25.8
Chicago 38.1
Cincinnati 24.9
Cleveland 26.8
Columbus 23.4
Dallas 28.5
Denver 28.1
Detroit 29.3
El Paso 24.4
Fresno 23.0
Indianapolis 24.8
Jacksonville 26.2
Kansas City 23.4
Las Vegas 28.4
Little Rock 20.1
Los Angeles 32.2
Louisville 21.4
Memphis 23.8
Miami 30.7
Milwaukee 24.8
Minneapolis 23.6
Nashville 25.3
New Orleans 31.7
New York 43.8
Oklahoma City 22.0
Orlando 27.1
Philadelphia 34.2
Phoenix 28.3
Pittsburgh 25.0
Portland 26.4
Providence 23.6
Richmond 23.4
Sacramento 25.8
Salt Lake City 20.2
San Antonio 26.1
San Diego 24.8
San Francisco 32.6
San Jose 28.5
Seattle 27.3
St. Louis 26.8
Tucson 24.0
Tulsa 20.1
Washington, D.C. 32.8

Conduct your analyses using the data file (CommuteTimes.xlsx), and answer the following questions:

  1. What is the mean commute time for these 48 cities?
  2. What is the median commute time for these 48 cities?
  3. What is the mode for these 48 cities?
  4. What is the variance and standard deviation of commute times for these 48 cities?
  5. What is the third quartile of commute times for these 48 cities?

MAJOR SALARY

Q3 (20 pts). In the file MajorSalary, data have been collected from 111 College of Business graduates on their monthly starting salaries. The graduates include students majoring in management, finance, accounting, information systems, and marketing. Create a PivotTable in MS Excel to display the number of graduates in each major and the average monthly starting salary for students in each major.

Conduct your analyses using the data file (MajorSalary.xlsx), and answer the following questions:

  1. Which major has the greatest number of graduates?
  2. Which major has the highest average starting monthly salary?
  3. Use the PivotTable to determine the major of the student with the highest overall starting monthly salary. What is the major of the student with the lowest overall starting monthly salary?

 

 

 

Below is the link the professor explains all three assignments need to completed in excel and also create a video presentation.

From table 2 estimate the median expenditure of the consumers using the interpolation method. Show all your working using a calculator.

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Task 2: Grouped Descriptive Statistics 22 marks

It was suggested to the retailer that the 200 transaction values could also be summarised in a grouped table (see Table 2 below). Table 2 have been made available in the Excel file named “MN4063QANOVS22CWK1 Data” under the worksheet named Task 2.

 

Required for Task 2 (50 words Max)

a. Using the two table templates provided in the Excel data file named “MN4063QANOVS22CWKIData” under the tab labelled Task 2: •

  • Complete table 2a to show the percentage frequencies, cumulative frequencies and cumulative percentage frequencies columns. (1+1+1 = 3 marks). Round all answers to the nearest whole number
  • Complete table 2b and use your results to estimate the mean and the standard deviation. (10 +2+2 = 4 marks.) Round all answers to the nearest whole number
  • (Copy the Excel output (2 tables) and paste it into your Word document)

b. From table 2 estimate the median expenditure of the consumers using the interpolation method. Show all your working using a calculator. (2 + 3 = 5 marks) Round your answer to the nearest whole number

Draw the graph y = tan x in the Cartesian plane below. Indicate if the representation is a function. Justify. Is the function periodic? If yes, what is the period? How does the graph y = tan x evolve when x goes from 0° to 90° and from 90° to 270°? What is the value of tan x when x = 90° and when x = 270°?

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Unité 2: La représentation de fonctions

Travail formatif 2.1 (Section 1 et 2)

  • Section 1: Comparison of functions.
  • Section 2: Graphs of sine and cosine functions.

Question 1: Sketch the following functions and then determine the domain, image, y-intercept, x-intercept, and whether it is an increasing or decreasing function.

  1. a)
  2. b)
  3. c)

 

Question 2:  The chess club is holding a bake sale one lunchtime a week to raise money for the end-of-year trip to Stratford. If the chess club sells 65 baked goods per week, the club makes a profit of $3 per baked good. By reducing the profit by $0.5 per baked good, the chess club can sell 20 more baked goods per week. The equation  represents the relationship between profit per bakery per week and the number of $0.5 discounts.

  1. Sketch the graph of the relationship.
  2. Determine the domain, image, y-intercept, x-intercept, and whether it is an increasing or decreasing function.

Question 3:  Indicate whether the graph is periodic or non-periodic. Justify your decision.

  1. a)
  2. b)

 

Question 4:  Determine the period and amplitude of the functions below.

  1. a)
  2. b)
  3. c)

 

Question 5: Sketch a graph of a periodic function with the period and amplitude shown.

  1. a) A period of 6 and an amplitude of 4.
  2. b) A period of 3 and an amplitude of 5.

 

Question 6 :   Answer sub questions 1) to 3) about the periodic function shown here.

  • Describe how you would determine the period of the function.
  • Describe how you would determine:
  1. f(4)
  2. b)  f(5)
  3. c)  f(8)
  4. d)  f(13)
  • Describe how you would determine the magnitude of the function.

Question 7:

The period of a function, f(x), is 12. If f(7) = -2 and f(11) = 9, find the value of

  1. a) f(43)
  2. b) f(79)
  3. c) f(-1)

Question 8: Mid-season maximum temperatures were recorded for three years in Dorset, Ontario. The results are shown here.

  1. a) Plot a graph of temperatures versus dates. Draw a periodic function that represents the data as accurately as possible.
  2. b) Use the graph to approximate the period and amplitude of the function.

 

Season Date Température (C)
Winter 5 février 1998 -9
Spring 2 mai 1998 16
Summer 3 août 1998 25
Fall 2 novembre 1998 3
Winter 5 février 1999 -10
Spring 2 mai 1999 17
Summer 3 août 1999 27
Fall 2 novembre 1999 3
Winter 5 février 2000 -10
Spring 2 mai 2000 16
Summer 3 août 2000 26
Fall 2 novembre 2000 3

 

 Question 9 :

  1. Draw the graph y = tan x in the Cartesian plane below.
  2. Indicate if the representation is a function. Justify.
  3. Is the function periodic?   If yes, what is the period?
  4. How does the graph y = tan x evolve when x goes from 0° to 90° and from 90° to 270°?
  5. What is the value of tan x when x = 90° and when x = 270°?
  6. What is the maximum value of y?
  7. Quelle est la valeur minimale de y?
  8. What is the y-intercept?
  9. What are the abscissae at the origin?
  10. Determine the domain and image of the function.

Calculate the corresponding values of function for each value. To receive full credit, show all of your calculation details for x = 20.

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How to use a simplified speed up function

Calculate the corresponding values of function for each value. To receive full credit, show all of your calculation details for x = 20. (20 points)

Write down the contribution to the likelihood from to for each of the life histories described in the following table, each of whom enters observation at age x. Time t is counted from age x.

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Two Math Questions

Problem 2.

The following data are taken from the employment records between ages 58 and 59 of 1000 pension plan members. The possible decrements from active employment (State 0) are by early retirement (State 1), transfer to another position (State 2) or death in service (State 3).

You are give.

  • Total waiting time in active employment: 785 years
  • Total number of early retirements: 150
  • Total number of withdrawals: 200
  • Total number of deaths in service: 20

Problem 3.

A long-term care insurance policy is modelled by the following four-state model with constant transition inten.,:ties between integer ages: Able (0), Partially able (1), Disabled (2), Dead (3). Possible transitions are: 0 —> 1, 1 —> 2, 0 3, 1 —> 3, and 2 —> 3.

a). Write down the contribution to the likelihood from to for each of the life histories described in the following table, each of whom enters observation at age x. Time t is counted from age x.

Life 1 I Life 2
Life 3
t = 0 In State 1 t = 1 In State 1
t = 0 In State 0 t = 0.25 Moves to State 1 t = 0.75 Moves to State 2
t = 0 In State 1 t = 0.5 Moves to State 2 t = 0.8 Dies

b). The actuary has the following summary of all observations: — Total waiting time in State 0: 4521.2 years — Total waiting time in State 1: 357.9 years — Total waiting time in State 2: 69.6 years — Total number of transitions 0 -4 1: 163 — Total number of transitions 0 3: 125 — Total number of transitions 1 2: 154 — Total number of transitions 1 3: 42 — Total number of transitions 2 -4 3: 25 Derive maximum likelihood estimates of all the transition intensities along with estimates of the associated standard errors.

The company reported net income of $1.7 million in 2015. Assume that the number of shares outstanding has remained constant. What was the company’s per-share dividend in 2015?

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QUESTION AND ANSWER

Brooks Sporting Inc. is prepared to report the following 2016 income statement (shown in thousands of dollars).

Sales $15700
Operating costs including depreciation 12246
EBIT $3454
Interest 264
EBT $3190
Taxes (40%) 1276
Net income $1914

Prior to reporting this income statement, the company wants to determine its annual dividend. The company has 310000 shares of stock outstanding, and its common stock trades at $54 per share. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

Open spreadsheet

  1. The company had a 50% dividend payout ratio in 2015. If Brooks wants to maintain this payout ratio in 2016, what will be its per-share dividend in 2016? Round your answer to the nearest cent.$
  2. If the company maintains this 50% payout ratio, what will be the current dividend yield on the company’s stock? Round your answer to two decimal places.%
  3. The company reported net income of $1.7 million in 2015. Assume that the number of shares outstanding has remained constant. What was the company’s per-share dividend in 2015? Round your answer to the nearest cent.$
  4. As an alternative to maintaining the same dividend payout ratio, Brooks is considering maintaining the same per-share dividend in 2016 that it paid in 2015. If it chooses this policy, what will be the company’s dividend payout ratio in 2016? Round your answer to two decimal places.%
  5. Assume that the company is interested in dramatically expanding its operations and that this expansion will require significant amounts of capital. The company would like to avoid transactions costs involved in issuing new equity. Given this scenario, would it make more sense for the company to maintain a constant dividend payout ratio or to maintain the same per-share dividend?
    1. Since the company would like to avoid transactions costs involved in issuing new equity, it would be best for the firm to maintain a constant dividend payout ratio.
    2. Since the company would like to avoid transactions costs involved in issuing new equity, it would be best for the firm to maintain the same per-share dividend.
    3. DROP DOWN I OR II

The company had a 50% dividend payout ratio in 2015. If Brooks wants to maintain this payout ratio in 2016, what will be its per-share dividend in 2016? Round your answer to the nearest cent.$

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Question and Answers

Brooks Sporting Inc. is prepared to report the following 2016 income statement (shown in thousands of dollars).

Sales $15700
Operating costs including depreciation 12246
EBIT $3454
Interest 264
EBT $3190
Taxes (40%) 1276
Net income $1914

Prior to reporting this income statement, the company wants to determine its annual dividend. The company has 310000 shares of stock outstanding, and its common stock trades at $54 per share. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

 

Open spreadsheet

  1. The company had a 50% dividend payout ratio in 2015. If Brooks wants to maintain this payout ratio in 2016, what will be its per-share dividend in 2016? Round your answer to the nearest cent.$