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Solving Mathematical Problems

3 pages (750 words)

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...problem for even larger numbers of people. Patterns can be very helpful to find out the answers to mathematical problems.
To find out how many handshakes there would be with 5 people in the room I had to make a diagram. At the top of my diagram I had colored five colored dots represent... If I was in a room with 4 other people and wanted to shake everyone's hand, four handshakes would happen. It gets trickier though if I wanted to know how many handshakes there would be if everyone wanted to shake everyone else's hand once. By using diagrams to find out how many handshakes would happen for different numbers of people, a pattern might be found. This pattern could make it much easier to solve the...

Statistical Reasoning in public Health

3 pages (750 words)

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...Health HW#4 A 2003 article in the Journal of the American Medical Association1 documents the results of a randomized clinical trial designed to evaluate whether the influenza vaccine is effective in reducing the occurrence of acute otitis media (AOM) in young children. Acute otitis media is an infection that causes inflammation of the middle ear canal. In the study, children were randomized to receive either the influenza vaccine or a placebo. (randomization was done in a 2 to 1 ratio, meaning that two times as many children were randomized to the vaccine treatment as were randomized to the placebo group). The children were followed for one year after randomization... ? Statistical Reasoning in Public...

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Differential Equation problems

3 pages (750 words)

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...It is easy to solve part (b) first then look at part (a). (b) Since f '(x) is a solution to (7), it must follow the sign of f(x) 2/3. Since f(x)2 is always positive and 1/3rd root of a positive number is also positive f '(x) should be > or = 0
Since f(a) =0, we have f'(a) also to be zero. Now we can have f(x) be > 0. In this case the function is monotonically increasing, but since f(b) is also zero there must be an abrupt drop down to zero, which is not possible as f(x) and f '(x) are continuously varying function. An abrupt change would mean f '(x) is discontinuous and hence f(x). Thus f (x) must be zero in the given interval.
Now coming to part (a)
If c is with in I then f(c) =0... is easy to...

Analyse and model engineering situations and solve problems using Ordinary differential equations

10 pages (2500 words)

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...problems and formulate mathematical model using first order differential equations 1. A heated object is allowed to cool in a room temperature which has a constant temperature of T0: a. Analyse the cooling process. As observed in reality, when such heated object is allowed to cool in a room, the object with an initially high temperature cools to an extent when its temperature becomes relatively bearable to the sense of touch, or that is to say towards a temperature at which the room is similarly felt. This empirical observation coincides to the Newton’s Law of Cooling which states that “the rate of change of the temperature of an object is proportional... Task Learning Outcome 4 Analyse engineering...

A Study On Cigarette Smoking Among The Teen Population

6 pages (1500 words)

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...health problems associated with tobacco use. Teen smoking rates have inceased in recent years and many teens start smoking each day. I want to make a study on cigarette smoking among teenagers to assess the incidence of cigarette smoking among... ? Table of contents Introduction Page 3 Research Plan and Aim of the study Page 4 Method of Data Collection Page 5 Mathematical Process Page 6 Survey Results Page 7-9 Analysis of result Page 10-24 Validity Page 25 Conclusion Page 26 References Page 27-28 Appendices Page 29-30 Introduction: Cigarette smoking is strongly linked to heart disease and strokes. Thousands of people die each year of diseases related to their smoking. Smoking is the biggest cause in...

Project Evaluation

5 pages (1250 words)
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...health and fitness complex and it has a NPV of ?700,000. Furthermore, the report justifies the technique that has been used in order to evaluate the project by comparing it with other project evaluation techniques such as Accounting Rate of Return and Profitability Index. Moreover, the report then discusses other factors that the organization needs to consider while making the investment decision. ANALYSING THE FEASIBILITY OF THE PROJECT Net present value (NPV) is the technique that has been used to analyze the feasibility... ?Running Head: PROJECT EVALUATION Project Evaluation School Contents INTRODUCTION 3 ANALYSING THE FEASIBILITY OF THE PROJECT 3 JUSTIFICATION ABOUT THE METHOD USED TO EVALUATE THE...

Job selection-multiple criteria decision analysis

7 pages (1750 words)
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...health and survival” [18] (p. 17). Furthermore, the process of creating, evaluating and implementing strategic decisions is typically characterised by the consideration of high levels of uncertainty, potential synergies between different options, long term consequences, and the need of key stakeholders to engage in significant psychological and social negotiation about the strategic... Multi-Criteria Decision Analysis for Strategic Decision Making The case study involves Lynn Bamford who is about to graduate from the Department of Information Technology at the University of Technology. For the past few months she has been involved in the job search process. She grew up in Brussels and has many relatives ...

Numerical analysis

6 pages (1500 words)

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...problems where differential equations which describe the state of real-time processes can not be solved using simple differentiation and integration rules. These types of problems (especially systems of differential equations) are solved numerically using a number of similar algorithms which are based on the principles of numerical integration. The definition of the task "solve differential equation" means "integrate differential... Numerical analysis The solution of differential equations often can not be limited to simple trivial methods. A number of equations can be solved analytically including systems of equations and equations of higher degree. But nevertheless there exist a big number of real...

A Linear Programming

4 pages (1000 words)

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...problems involve the optimization of a linear objective function (i.e., maximize profit or minimize cost) subject to linear equality and inequality contraints. {"Linear Programming." Wikipedia: The Free Encyclopedia}.
The linear problem at hand is a case of finding the best strategy to minimize cost... of production and distribution. For simplification purposes, the '000 was not included in the process. Hence,
Objective:
Minimize Cost:
Where:
Constraints:
Note that baking of cookies at Milford, i.e., Milfordv, should be at least 25% of the plant's capacity hence, 38.
The Solution
Since the problem involves a production and distribution system, use of the...

Mathematical Tasks

8 pages (2000 words)

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...problems those mere calculations in order to arrive at conclusions, while there are problems that need applications of mathematical concepts and problem solving techniques in order to arrive at a solution. These latter problems may be tricky and hard to conceptualize but with a clear basis and knowledge of different types... Running Head: ICT MATHS Discuss your own work on three of the mathematics tasks in Chapters 2, 3 and 4, using no more than one task from any one chapter
Name:
University:
Course:
Date:
Tutor:
Date:
Working on mathematical tasks involving geometric thinking, as experienced in various tasks, falls under different levels of difficult from learner to learner. For example, there are pr...

Tangled Triangles

4 pages (1000 words)

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...problem by looking back in time and history of this problem. It not only makes our study more interesting, it also throws light on the path that we should follow. It is a well-known fact that for an arbitrary closed... Finding the biggest value of the area to perimeter ratio for triangles Scenario: Tangled Triangles. Two are discussing howto find the biggest value of the area: perimeter ratio for triangles. One of them suggests that this can be done with measurements of 40, 60 and 80- but forgets to say what units were used, and whether they were angles or sides.
Which triangle gives the biggest value for the area: perimeter ratio
Investigate further.
Brainstorming
Let us start investigating this pro...

Create my own exam

3 pages (750 words)

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...Problems Theorem Two triangles, A and B are both drawn with different shapes and are drawn within the same circle with all their edges touching the sides of the circle and one of the sides for each triangle passing through the centre. If the sides of each triangle are measured and summed for each triangle then the resulting value will be equal. That is to say if triangle A sides are found to be o, p, q, and triangle B sides are x, y, z then o + p + q = x + y + z Proof: Suppose triangle A has sides o, p, q and triangle B has sides x, y, z and one of the sides for each triangle passes through the centre of the circles then that those two sides for each triangle will be equal. A line passing... ? Math...

Controller Suggestions for ABC Company

5 pages (1250 words)

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...problems, which the company is already grappling with, especially if debt capital is used to finance the project because the financiers will still claim interest regardless of whether the company is making profits or not. As the controller and management accountant, I will be charged with the responsibility of planning, whereby I will estimate whether a certain project is worth investing in or not. I will achieve this by conducting different models to estimate the future cash flows of the project based on the present and future conditions. I would recommend the CEO to desist from investing in any project that the controller preserves as unviable because this will put the...

Algebra Math Problem

6 pages (1500 words)
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...problems in which itemsof various types or grades are sold at distinct values. This is particularly useful for starting entrepreneurs who consider establishing business on a small-scale with simple calculations carried out. Application: Matthew would like to put up a small coffee-bean store selling two special varieties of coffee – Arabica(M) and Robusta(H). He estimates obtaining profit from each kg of Arabica(M) worth $10.50 and from each kg of Robusta(H) costing $9.25. If he desires to have 2500 kgs of bean-mixture sold for $9.74 per kg, how much of each kind must be present in the mixture? Solution: Let x = the quantity... Final Project The system of linear equations may be applied to mixture...

Activity Based Cost accounting system

4 pages (1000 words)

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...health care service doctors. Activity based costing uses... TEST I Activity Based Costing encourages managers to watch activities or functions that are value added . These are operational acts that help identify the activities or functions that get customers. Management should study cost drivers in decision making. In this case study, the supporting excel computations show that overhead using the traditional cost accounting procedure resulted only P137,994.00 for Lever, P22,079.04 for Spring, and finally P 16,559.28 for pump products. Total manufacturing cost also under the traditional or old fashioned cost accounting procedure resulted to the usual Direct Materials cost of the products P...

Calculus for Business Economics

4 pages (1000 words)

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...Problems Chapter 2. As given, the Price of a particular model of calculator is given by (Dollars), after x months from now,so
(a) to get the price after 5 months from now, just substitute x = 5.
(b) The change in the price in the 5th month will be
Price after 5 months - Price after 4 months, or.
(c) Let the price will be $43 after x months. So P(x) = 43. Or . Solve this equation for x.
(d) To know what happens to the price when x becomes very large, we consider the. It follows that after a long period of time the price will become $40.
4.
(a) Given. If we rename x as y, we have. Now we can substitute.
(b) and (c) Similar to part (a).
6. The average daily level of smog... to Review Problems Chapter...

Multiple criteria decision analysis

7 pages (1750 words)
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...problem.
Contents
Contents 3
1.0 Introduction 4
2.0 Aim 4
3.0 Objectives 4
4.0 Background of MCDA 5
5.0 Methodology 5
6.0 Main assumption 5
7.0 Results 6
7.1 Interest rate analysis 6
8.0 Discussion and Sensitivity of results 6
8.1 Multi – Criteria Decission Analysis 6
8.1.1Legal... Bernard’s Bank Selection using MCDA This project is about Bernard who would does not know the best bank to take a mortgage with. Therefore, he decides to use MCDA to help him select the best bank. He therefore lists the important factor to consider when selecting the bank as: - 1) interest rate 2) Flexibility in payments 3) duration 4) Guarantees. In connection to this the main aim of this project is to use MCDA to solve the...

Assignment

4 pages (1000 words)

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...problems facing populations. Use a specific example to illustrate your answer. The Correlation and regression analysis helps in hypothesis testing. These analyses are run on the large number of sample. In the correlation the relation between two variables are quantified. The sums of squares of each variable are calculated and sum of cross production is calculated in order to identify the correlation coefficient. The correlation strength of the data is also studied with the help of scatter diagram. In the correlation analysis scatter plot can be created for positive or negative correlation. The Pearson correlation usually... ?Assignment Question In your opinion, which of the inferential statistical...

HW

4 pages (1000 words)

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...Health HW#2 Question one a What is the estimated unadjusted mean difference in hourly wages for females as compared to males? Females earn 2.1 dollars less than males per hour when other variable s are not taken into account. 2. Report a 95% confidence interval for this difference. The 95% CI for this difference ranges from -2.98 to -1.22 3. Write a sentence interpreting both the unadjusted mean difference and the corresponding confidence interval. When not considering other variables, women in 1985 earned approximately 2.1 dollars less than the men did; and 95% of the times, the actual values for this estimate would fall between 2.98 dollars to 1.22 dollars less... ? Statistical Reasoning in Public...

Theorem of Pythagoras in Mathematics

12 pages (3000 words)

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...problem of finding integers a, b, c that can represent the legs and hypotenuse of a right triangle.A triple of numbers... Running Head: Theorem of Pythagoras in Mathematics The importance of the theorem of Pythagoras in the Historical development of Mathematics
By
_________________________
The importance of the theorem of Pythagoras in the historical development of Mathematics
The Theorem that changed the fortune of Mathematics and Geometry, the Pythagoras Theorem states:
"The square described upon the hypotenuse of a right-angled triangle is equal to the sum of
the squares described upon the other two sides". (1)
The philosophy of mathematics begins with Pythagoras, who later developed Pythagor...

Cost Benefit Analysis

12 pages (3000 words)
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...Problem Set Two Questions Question a. Use a diagram to illustrate the deadweight loss that, in the absence of government intervention results from information asymmetry. Solution: A deadweight loss refers to specific forms of benefits that consumers or producers lose due to inefficiency within market operations. In most cases such inefficiencies are caused by monopoly pricing or taxation (Brent 89). In other words, a deadweight loss can be termed as the total surplus resulting from market distortion especially from the side of government regulations on prices and in most cases the levied taxes. Asymmetric information can lead to disappearance of markets or rather inefficient allocation... Econ 361 DE –...

Statistical computation of maximum likelihood estimates using R

10 pages (2500 words)

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...problems
3. Atmospheric Effect Model
Rainfall is affected by changes in the atmospheric "mode".
Model used in Part 2 is modified
Suppose that the atmosphere has two dominant modes, 0 and 1.
Zik = 1 if the atmosphere is in mode k in year i, and set Zik = 0 otherwise.
Behavior of the atmosphere is assumed to be independent across years
0 + 1 = 1.
P(Zik = 1) = k for each i.
p and do not depend on the atmospheric mode.
However, due to lack of understanding about how the atmospheric modes arise, the variables Zik are hidden, and so it is suggested that the MLEs... Statistical calculations of maximum likelihood estimations using the statistical software R. Each question answered directly not in report...

Responsibility Accounting and Transfer Pricing

4 pages (1000 words)
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...Problem 5-15 "U.S Pump Systems" US Pumps is a multidivisional firm that manufactures and installs chemical piping and pump systems. Its valve division makes a single standardized valve. The valve division and installation division currently are involved in a transfer-pricing dispute. Last year, half of the valve division's output was sold to the installation... ?P5-6 "Metal Press" Your firm uses return on assets (ROA) to evaluate investment centers and is considering changing the valuation basis of assets from historical cost to current value. When the historical cost of the asset is updated, a price index is used to approximate replacement value. For example, a metal fabrication press, which bends and...

Corporate Finance Math Problem

8 pages (2000 words)

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...Health Care... CORPORATE FINANCE TABLE OF CONTENT PAGES Mini-Case 03 Free Cash Flow 05 Uses of FCF 05 Mini Case II 11
Mini Case 3 16
Mini Case 4 25
Mini Case 5 39
Mini Case 1:
Ans 1): After comparing the financial records of both years, we observe that the expansion didn't come up with a positive result because the company envisaged a big loss after it enjoyed profit a year before.
SALES IMPACT
2006
2007
Sales $
3432000
5834400
Difference = (Sales 2007-Sales 2006)
2402400
Percentage Increase/Decrease = (Difference/Sales 2006)
70
However, as far as the sale is concerned, then we can see from the financial statement that the sales are surged by $2.4 million or 70...

Structures, Fluid Mechanics, Materials, and Soil Mechanics

11 pages (2500 words)

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...problems with retaining the reliability of the anchor/dead end.
This concept uses long precast concrete beams between supports and usually chorded sections say 6m are used to approximate curved geometry. Diaphragms are provided at angle... Structures, Fluid Mechanics, Materials, and Soil Mechanics
QUESTION 1
First determine whether the structure is statically determinate or indeterminate using 2n= m + r, where n= joints, m= members, r=reactions
In this case, n=11, m=19, r=3 thus 2x11=22=19+3 therefore the structure is statically determinate
Let the length of each of the 5 bays be x,
Determine the reactions at the supports = (1+1+1+1+1)/2 = 2.5 units, simply because the truss is symmetrical about the apex...

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