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Project

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Date

MTH156
Final Exam Chapters 1-7
50 problems – 5 points each
250 points possible

Solve all problems and attach your solutions document in your Individual Forum (IF). Remember to show all steps and check your work carefully.

|Correct |Appropriate Steps Shown? |Credit Earned per Problem |
|Solution? | | |
|Y |Y |Full Credit |
|Y |N |Partial Credit |
|N |Y |Partial Credit |
| N |N |No Credit |

| |Remember to simplify your answers. |Grading - |
| | |Comments |
| | | |
| |Write the fraction as a terminating decimal. | |
| | | |
| |[pic] | |
| |=0.725 | |
| | | |
| |Write the percent as a decimal. | |
| | | |
| |580% = 580/100 = 5.80 | |
| | | |
| | | |
| |Write the fraction that represents the shaded area. | |
| | | |
| | | |
| |Shaded no. of squares = 7 | |
| |Total no. of squares = 8 | |
| |Fraction of shaded area= 7/8 | |
| | | |
| | | |
| |Compute the value of the given expression. | |
| |-|9 - 6| | |
| |= -|3| = -3 | |
| | | |
| |Use the scratch method to find the sum. | |
| | | |
| |333 + 41 + 1548 + 6 = 1928 | |
| | | |
| |Find the prime factorization of the number, and write it in exponent form. | |
| | | |
| |612 = 2 x 2 x 3 x 31 = 2^2 x 3 x 31 | |
| | | |
| |Evaluate on a calculator. | |
| | | |
| |( 475 + 7377) - ( 14 + 6) = (7852) – (20) = 7832 | |
| | | |
| |Use inductive reasoning to predict the next number in the sequence. | |
| | | |
| |7, 13, 19, 25, 31, . . . | |
| |13-7 = 6, | |
| |19-13 = 6. Similarly every next term is found by adding 6. | |
| |So number after 31 would be 31+6 = 37 | |
| | | |
| |Use lattice multiplication to find the product. | |
| | | |
| |222 × 172 = 38184 | |
| | | |
| |List all the subsets of S. | |
| | | |
| |S = {0, 1, 2, 3} | |
| |Subsets: {φ}, {0}, {1}, {2}, {3}, {0, 1}, {0, 2}, {0, 3}, {1, 2}, {1, 3}, {2, 3}, {0, 1, 2}, {0, 1, 3}, | |
| |{0, 2, 3}, {1, 2, 3}, {0, 1, 2, 3} | |
| | | |
| |Write the numbers in order of increasing size. | |
| | | |
| | | |
| |[pic] | |
| | | |
| |½ = 0.5, ¾ = 0.75, 2/3 = 0.67. So order is, 1/2, 2/3, ¾, 0.95 | |
| | | |
| |Write the percent as a fraction in the lowest terms. | |
| | | |
| |0.05% = 0.05/ 100 = 5/10000 = 1/2000 | |
| | | |
| |Find the LCM for the given numbers by an appropriate method. | |
| | | |
| |24, 54, and 27 | |
| |24’s multiples = 24, 48, 72, 96, 120, 144, 168, 192, 216, 240 | |
| |54’s multiples = 54, 108, 162, 216, 270 | |
| |27’s multiples = 27, 54, 81, 108, 135, 162, 189, 216 | |
| |So, LCM is 216. | |
| | | |
| |Construct a factor tree for the given number. | |
| | | |
| |190 | |
| |95 2 | |
| | | |
| |19 5 | |
| | | |
| |Find the simple interest for the indicated length of time. | |
| | | |
| |$ 100 at 2% interest for 7 years | |
| |= $100 x 7 x 2/100 = $14 | |
| | | |
| |Write the Hindu-Arabic numeral for the number represented by the following. | |
| | | |
| | | |
| | | |
| |Find the sum. | |
| | | |
| |[pic] | |
| |= (9x9 + 5x10) / 90 = 131/90 | |
| | | |
| |For the number represented by the given Hindu-Arabic numeral, write an equivalent numeral from the indicated | |
| |system. | |
| | | |
| |210; Babylonian | |
| | | |
| |210 = 3x60 + 30 | |
| |[pic] | |
| | | |
| |Find all values of the missing digit that make the statement true. | |
| | | |
| |4,3_6 is divisible by 4. | |
| |A number is divisible by 4 if the number formed by last two digits is divisible by 4. So, the last two digits may | |
| |be 16, 36, 56, 76 or 96. So the missing digit may be 1, 3, 5, 7 or 9. | |
| | | |
| |Find the GCF of the numbers using an appropriate method. | |
| | | |
| |1296 and 1944 | |
| |1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 | |
| |1944 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 | |
| |So GCF = 2 x 2 x 2 x 3 x 3 x 3 x 3 = 648 | |
| |Add. | |
| | | |
| |4 + ( -64) | |
| |= 4 – 64 = -60 | |
| | | |
| |Calculate using expanded notation. | |
| | | |
| |446 + 206 | |
| |= 400+40+6 + 200+6 | |
| |= 600 + 40 + 12 = 600+40+10+2 = 600+50+2 | |
| |= 652 | |
| | | |
| |Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". | |
| | | |
| |[pic] | |
| |7/22 = 0.31… | |
| |2/5 = 0.4 | |
| |9/24 = 0.375 | |
| | | |
| |So increasing order is 7/22, 9/24, 2/5 | |
| | | |
| |Write the statement indicated. | |
| | | |
| |Write the negation of the following: | |
| |A happy face is a smiling face. | |
| | | |
| |Negation: A happy face is not a smiling face. | |
| | | |
| |Write the decimal representing the given rational number. | |
| | | |
| |[pic] __ | |
| |= 0.196 | |
| | | |
| |Estimate by rounding to the nearest hundred. | |
| | | |
| |956 + 936 + 207 + 925 + 734 | |
| |= 1000+900+200+900+700 = 3700 | |
| | | |
| | | |
| |Convert the base-ten number to a numeral in the indicated base. | |
| | | |
| |12 to base six | |
| |12/6 = 2 and remainder 0. | |
| |So, 12 decimal in base six is 20. | |
| | | |
| |Find (A ∩ B) ∩ C, given A = {s, e, t}, B = {m, e}, and C = {f, r, e, e}. | |
| |A ∩ B = {e} | |
| |(A ∩ B) ∩ C = {e} | |
| | | |
| |Give a verbal, visual, numerical, and graphic representation for the idea one and one-sixth. | |
| | | |
| |Ratio one means every part of sample being chosen. One-sixth means 1 part out of six parts is chosen. | |
| | | |
| |One is represented as 1, one-sixth is 1/6. | |
| | | |
| | | |
| | | |
| | | |
| |Real World Applications (Remember to show all steps.) | |
| | | |
| |Solve the problem. | |
| | | |
| |A rectangular field is to be enclosed with 1200 ft of fencing. If the length of the field is 40 ft longer than the| |
| |width, then how long is the field? | |
| | | |
| |Let the length be x. Then width is x-40. Perimeter is 1200ft | |
| |So, 2*(x+x-40) = 1200 | |
| |Or 2x -40 = 600 | |
| |Or 2x = 640 | |
| |Or x = 320 | |
| |So field is 320 ft long. | |
| | | |
| |Solve the problem. | |
| | | |
| |Julie averages 22 miles per gallon of gasoline in her car. How far can she travel on 17 gallons of gasoline? | |
| | | |
| |1 gallon of gasoline runs 22 miles | |
| |So, 17 gallons of gasoline would run 22*17/1 = 374 miles. | |
| | | |
| |So she can travel 374 miles on 17 gallons of gasoline. | |
| | | |
| |Solve the problem. | |
| | | |
| |How long will it take for prices in the economy to double at a 6% annual inflation rate? Round to the nearest | |
| |hundredth. | |
| | | |
| |2P = P(1+0.06)^t | |
| |Or 1.06^t = 2 | |
| |Or t = log2 / log1.06 = 11.90 years. | |
| | | |
| |Solve the problem. | |
| | | |
| |The city bridge has 9 lanes, all carrying equal numbers of cars. If 414 cars drive across the bridge, how many | |
| |cars cross in each lane? | |
| | | |
| |9 lanes would be used for 414 cars | |
| |So, 1 lane would be used for 414/9 = 46 car | |
| |So 46 cars would cross in each lane. | |
| | | |
| |Solve the problem. | |
| | | |
| |The fuel mileage on Ryan's car is 20 miles per gallon. After filling the tank, which has a capacity of 15 gallons,| |
| |how far can he go before his car runs out of gas? | |
| | | |
| |1 gallon of fuel runs 20 miles. | |
| |So, 15 gallons of fuel would run 20*15/1 = 300 miles. | |
| |So, Ryan can go 300 miles before his car runs out of gas. | |
| | | |
| | | |
| |Solve the problem. | |
| | | |
| |Julia preheated her oven for 19 minutes. What fraction of an hour was this? (1 hour = 60 min) | |
| | | |
| |60 minutes comprise 1 hour | |
| |So, 19 minutes would comprise 1*19/60 = 19/60 hours. | |
| | | |
| |In four rounds of a card game, you get scores of -10, -6, -10, and 3. What is your final score? | |
| | | |
| |Final score = (-10)+(-6)+(-10)+3 = -23 | |
| | | |
| |A child's dose of medicine is [pic] of a pre-measured dose cup. If the bottle of medicine is the size of 9 dose | |
| |cups, how many children's doses are there in the bottle? | |
| | | |
| |1/6 dose cup make 1 children dose | |
| |So, 9 dose cup would make 1*9/(1/6) = 9*6 = 54 children doses. | |
| | | |
| |Joe has a collection of nickels and dimes that is worth $ 4.35. If the number of dimes were doubled and the number| |
| |of nickels were increased by 10, the value of the coins would be $ 7.05. How many dimes does he have? | |
| | | |
| |Let there be x nickels and y dimes. So, | |
| |5x + 10y = 435 | |
| |Also, by second assumption, | |
| |5(x+10) + 20y = 705 | |
| |Or 5x+ 20y = 655 | |
| |Subtracting first equation from second, | |
| |10y = 220 | |
| |Or y = 22 | |
| |So he has 22 dimes. | |
| | | |
| |Find the amount of money in an account after 12 years if $1000 is deposited at 5% annual interest compounded | |
| |quarterly. | |
| | | |
| |FV = $1000*(1+.05/4)^(12*4) = $1815.35 | |
| | | |
| | | |
| | | |
| |Each gallon of shingle stain covers 120 square feet. How many gallons should you buy to cover 800 square feet? | |
| | | |
| |120 square feet is covered by 1 gallon, | |
| |So, 800 square feet would need at least 1*800/120 = 6.667 | |
| | | |
| |A man earned $ 3000 the first year he worked. If he received a raise of $ 400 at the end of each year, what was | |
| |his salary during the 15th year? | |
| | | |
| |His salary during 15th yr would be $3000+(15-1)*$400 = $8600 | |
| | | |
| |A worker has readings that take [pic] minutes each to read and record. How many readings can be completed in 192 | |
| |minutes? | |
| | | |
| |In 8/3 minutes, 1 reading is completed. | |
| |So, in 192 minutes, 1*192/(8/3) = 72 readings will be completed. | |
| | | |
| |James' drive from home to work is 31 miles one way. If in a month he goes to work 22 days, then how many miles | |
| |does he drive going from home to work and back in one month? | |
| | | |
| |In one day of work, James travels 31*2 = 62 miles | |
| |In 22 days of work, he’d travel 62*22 = 1364 miles. | |
| | | |
| |So he’d drive 1364 miles in one month. | |
| | | |
| |Solve the problem. Express your answer in simplest form. | |
| | | |
| |Lorrie bought [pic] lb of basil and [pic] lb of oregano. How many pounds of herbs did she buy in total? | |
| | | |
| |Total pounds= 1/3 + 1/4= (4 + 3)/12 = 7/12 pounds. | |
| | | |
| |Use the least common multiple or greatest common factor to solve the problem. | |
| | | |
| |Two runners run around a circular track. The first runner completes a lap in 5 minutes. The second runner | |
| |completes a lap in 19 minutes. If they both start at the same place and the same time and go in the same | |
| |direction, after how many minutes will they meet again at the starting place? | |
| | | |
| |They would meet after minutes that are LCM of both 5 and 19. So they’d meet after 95 minutes at the starting | |
| |place again. | |
| | | |
| | | |
| | | |
| |Solve the problem. Round your answer to the nearest tenth of a percent unless otherwise indicated. | |
| | | |
| |By switching service providers, a family's telephone bill decreased from about $50 a month to about $47. What was | |
| |the percent of decrease? | |
| | | |
| |Percent decrease = (50 – 47)*100 /50 = 3*2 = 6. | |
| |So there was 6.0% decrease. | |
| | | |
| |For the restaurant bill, estimate the tip. Then find the exact amount of the tip. State your answers to the | |
| |nearest hundredth. | |
| | | |
| |The restaurant bill is $43.72. Give the estimate of a 15% tip and the exact amount of a 15% tip. | |
| | | |
| |Estimated amount = $40*15/100 = $6 | |
| |Exact amount = $43.72*15/100 = $6.56 | |
| | | |
| | | |
| |Solve the problem. Assume that simple interest is being calculated in each case. Round your answer to the nearest | |
| |cent. | |
| | | |
| |John forgot to pay his $ 364.00 income tax on time. The IRS charged a penalty of 12% for the 55 days the money was| |
| |late. Find the penalty that John paid. (Use a 365 day year.) | |
| | | |
| |Penalty paid = $364*12*55/(365*100) = $6.58 | |
| | | |
| |The record number of points scored in a season by the Morton High School basketball team is 1064. So far this | |
| |season they have scored 611 points. How many points do they need to score in the rest of the season to tie their | |
| |record? | |
| | | |
| |Number of points additionally needed to tie record = 1064 – 611 = 453 | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| |Answer the question. | |
| | | |
| |At the Bristol Racket Club tennis courts are rented by the hour. The spreadsheet shows the data for two monthly | |
| |plans. Plan A involves paying a one time monthly fee of $10 plus $9 per hour for court time. Plan B involves a | |
| |one time monthly fee of $70 plus $4 per hour for court time. | |
| | | |
| | | |
| |A | |
| |B | |
| |C | |
| | | |
| |1 | |
| |# of hours | |
| |Plan A ($) | |
| |Plan B ($) | |
| | | |
| |2 | |
| |1 | |
| |19 | |
| |74 | |
| | | |
| |3 | |
| |2 | |
| |28 | |
| |78 | |
| | | |
| |4 | |
| |3 | |
| |37 | |
| |82 | |
| | | |
| |5 | |
| |4 | |
| |46 | |
| |86 | |
| | | |
| | | |
| | | |
| | | |
| |How many hours would need to be rented during the month to make Plan B the best plan? | |
| | | |
| |Cost of plan A for x hours is 10 + 9x | |
| |Cost of plan B for x hours is 70 + 4x | |
| |So plan B would be better of the two after x hours if it costs less than A, | |
| |So, | |
| |70 + 4x < 10 + 9x | |
| |Or 60 < 5x | |
| |Or x > 12 | |
| |So it would take 13 hours to be rented to make plan B the best plan. | |

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...Research Project Management Key Concepts Dr Robin Henderson robin@myconsultants.net Research Project Management - Key Concepts © My Consultants Ltd 2010 Introduction The successful management of a research project depends upon the researchers ability to plan, coordinate and perform the research. Many researchers do not formally manage their research and whilst this does not necessarily mean that the research will not be completed successfully this approach has impacts on the staff whom are involved in the project. For example an unplanned approach can often lead to stress in members of the research team, crises management when deadlines are not effectively managed and the lack of time within the research to deliver effective outcomes for all the staff involved in the project. This short document outlines some of the key tools which you can utilise within research contracts to lead to more successful outcomes. Clearly understanding what success means for your project. The starting point for managing a project effectively is to have a clear understanding of what you are trying to achieve. A simple model to start to explore this is to distinguish between outputs and outcomes.  Outputs are the physical deliverables of the project  Outcomes are what happens as a result of the outputs For example in a clinical based trial the output could be a paper with the related outcome being the changes in clinical practise. The starting point for a project is to define what the desired outcomes...

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...Strategy & Project Management: Project orientated organisations Finnland 2005 Prof. (FH) Peter J. Mirski Prof.(FH) Mag. Peter J. Mirski Tel.: +43-512-2070-3510 E-Mail: peter.mirski@mci.edu http://www.mci.edu Current Position MCI, University of Applied Sciences: Director of studies „Management & IT“, Head of IT-Services Academical Profile Research projectmangement, knowledgemanagement strategic information management, e-learning Education process, project, information management Publications and articles in journals Practice Profile Management, R&D Project Management, CEO, CIO Consulting & Training Agenda 10:00 – 14:00 Brief project management overview Project orientated organisations Project scorecard Discussion Literature De Marco T., „The Deadline“, Dorset House Publishing Co ,1997 Goldratt E., “The Critical Chain“, North River Press, 1997 Heerkins G., „project management“, briefcase books 2002 PMBOK Guide, „A Guide to the Project Management Body of Knowledge“, PM Institute, 2000 Links •www.p-m-a.at (pm baseline english, german) •www.pmi.com (pm information) project management overview Importance of Project Management • Projects represent change and allow organizations to effectively introduce new products, new processes, new programs • Project management offers a means for dealing with dramatically reduced product cycle times • Projects are becoming globalised, making them more difficult to manage without a formal methodology –...

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...frame: Coalitions composed of varied individuals and interest groups. Conflict and power are key issues Symbolic frame: Symbols and meanings related to events. Culture, language, traditions, and image are all parts of this frame Organization structure: Project organization structure (is hierarchical, but instead of functional managers or vice presidents reporting to the CEO, program managers report to the CEO.) Matrix organization: • represents the middle ground between functional and project structures. Process of Project management: 1. Starts the project 2. Initiate (the planning) 3. Plan 4. Execute 5. Close (end the project) Project management Process Groups: 1 Initiate (start) include defining and authorizing a project or project phase. Initiating processes take place during each phase of a project. 2 Planning (Scope document, schedule management plan, cost mgr plan, and procurement plan) 3 Execute (Implementation phase, acquiring and developing the project team, performing quality assurance, distributing information, managing stakeholder expectations,)building and testing 4 Monitor and control: include regularly measuring and monitoring progress to ensure that the project team...

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...seek a Project Manager in their Washington DC offices. Provides program support to team members as needed related to projects and program activities. Tasks include task tracking, program change management support, administrative support and project and program reporting. Helps with the preparation of project and program schedules and coordinates the necessary internal and external resources to fulfill the project and program activities within the prescribed time frames and funding parameters to ensure project and program objectives and stakeholders expectations are met. Specific responsibilities include: * Coordinates activities within the project life-cycle including initiation, planning, execution, monitoring and control phases. * * Helps with the preparation of Project and Program Weekly Status report as necessary and upload to the Project Server in a timely fashion. * Generates various other Project, Program and department related status reports as needed. * Helps prepare responses for anticipated questions during the weekly ITIL meeting (in case of a Red project). * Helps Identify and schedules project deliverables, milestones, and required tasks. * Prepares change management documentation in support of the change management process and supports the Change Management meeting. * Documents all change management decisions according to the change management process * Coordinates selection and assignment of SMEs to the project team...

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...Project Plan Outline 1.0 Goals and Objectives This section presents a general description of the project along with any general or technical constraints and/or considerations. Please include the sub-sections below. 1. Project name 2. Business goals and project goals 3. Scope 4. Time and budget constraints 5. General and technical requirements 6. Training and documentation 7. Installation 2.0 Project Estimates This section presents a set of estimates for the completion of the project, including people, hardware and software. Please include the following sub-sections. 1. People costs a. Historical or researched data used for estimates (Requires annotation listing where you got this information) b. Salary requirements 2. Equipment costs (Requires costs for all hardware and software used. It is assumed that all hardware and software will be new). a. Hardware b. Software 3. Estimation techniques and results a. Process-based (use the format shown in section 1.2.1 of the lecture) b. Second method c. Triangulation results 3.0 Project Schedule This section presents an overview of project tasks and the output of a project scheduling tool. The following sub-sections should be included: 3.1 Project task list The tasks that have been selected for the project are presented in this section. 3.2 Task network Project tasks and their dependencies are noted in this diagrammatic form. 3.3 Timeline chart A project timeline chart (Gantt chart) is presented...

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...The report describes how the IT system plays an important role in the organisation. To be on the move with the world and be effective in the services they provide, Holland Rise decides to implement the IT systems across the trust. The report is all about the tasks that will be involved during the implementation of the project. Task 1- Project Manager Responsibilities • Project manager of the Holland Rise and Social Care Trust is greatly responsible for the overall success. As a project manager he/ she needs to be a creative and self-motivated person. • Efficiency: As a project manager of Care Trust IT system manager should perform honestly and efficiently. In general that can help to deliver a better success rates. • Proposal Writing: Preparing a detailed project management plan and a proposal for this Care Trust project is one of the important issue that must be the considered by the project manager. • Time, Budget and resources: Manager must set a timeframe and budget limit. He/ she should ensure that the project finishes on time within the budget allocated. Proper utilization of resources is one of the vital task of the manager. • Leadership: Project Manager must have the power to be an excellent leader. He/ she has to lead the team to bring out the best. • Work environment: Manager should create an excellent work environment for the employees by dialogue and communicating with the team member. • Problem Solver: As being a leader he/she should solve the problems...

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