SYSTEM OF LINEAR EQUATIONS IN TWO VARIABLES Solve the following systems: 1. x y 8 x y 2 by graphing by substitution by elimination by Cramer’s rule 2. 2 x 5 y 9 0 x 3y 1 0 by graphing by substitution by elimination by Cramer’s rule 3. 4 x 5 y 7 0 2 x 3 y 11 0 by graphing by substitution by elimination by Cramer’s rule CASE 1: intersecting lines independent & consistent m1m2 CASE 2: parallel lines
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Modelling 2 Week 3: Discrete Random Variables Stephen Bush Department of Mathematical Sciences MM2: Statistics - Week 3 - 1 Random Variables • Reference: Devore § 3.1 – 3.5 • Definitions: • An experiment is any process of obtaining one outcome where the outcome is uncertain. • A random variable is a numerical variable whose value can change from one replicate of the experiment to another. • Sample means and sample standard deviations are random variables • They are different from sample
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3/16 Chem 322 Friday Partition Coefficient (Extraction) Lab for Benzoic Acid Reaction Mechanism: Purpose: The purpose of this particular lab was to demonstrate the difference in separation of Benzoic acid in water and Dichloromethane. Also the difference in separation of Benzoic acid in bicarbonate and Dichloromethane. By calculating the partition coefficient for each of these separations‚ it became clear the differences in the separation of the aqueous and organic layers. Observations
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Tak Nga Secondary School 2010-2011 Mid-year Exam Form 4 Mathematics (Paper I) Time allowed: 1 hour 15 minutes Class：________ Name：__________________( ) Marks: ________/ 60 Instructions: 1. Write your name‚ class and class number in the spaces provided on this cover. 2. This paper consists of THREE sections‚ A(1)‚ A(2) and B. Each section carries 20 marks. 3. Attempt ALL questions in this paper. Write your answers in the spaces provided. Supplementary answer sheets will be supplied on request.
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Parameters of Ethical Decision Making Ethical decision making is an essential aspect in understanding and demonstrating the values of an organization. The intense pressures of business may not always allow time for reflection‚ and the high stakes may tempt us to compromise our ideals. Many of us already have well-developed ethical outlooks but by considering various approaches to ethical decision making‚ we are better equipped to make the right choices when the need arises. Joseph Weiss (2009) identifies
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In hopes of acquiring deserved freedom‚ slaves had the right to kill their masters. But while justified‚ violence was futile‚ leading to execution rather than freedom. Constant victims of injustice‚ slaves were dehumanized and dominated by their master. They were unable to conduct their own actions without the permission‚ incapable of traveling without slave passes‚ and often separated from their family. Slaves were treated as livestock and traded at their master’s will. Masters regarded their slaves
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VARIABLES THAT INFLUENCE WOMEN IN PARLIAMENT Abstract: Women are consistently underrepresented in political systems around the world. In this research‚ I examine factors such as the gender equality scale‚ education‚ ratio of female to male income and cultural diversity and their impact on the percentage of women in government. My findings reinforce my hypotheses; all four independent variables have statistically significant effects on women in parliament‚ with the ratio of female to male income
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Systems of linear equations‚ or a set of equations with two or more variables‚ are an essential part of finding solutions with only limited information‚ which happens to be exactly what algebra is. As a required part of any algebra student’s life‚ it is best to understand how they work‚ not only so an acceptable grade is received‚ but also so one day the systems can be used to actually find desired information with ease. There are three main methods of defining a system of linear equations. One way is
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De Vos Malan High School‚ Kingwilliamstown‚ Eastern Cape Learner: Lwandolwethu Ntlube Grade 11 Educator: Mrs Weweje Learning Area: PHYSICAL SCIENCE SCIENTIFIC REPORT Title: INVESTIGATION OF DIFFERENT STATIC AND FRICTIONAL COEFFICIENT FORCES Part One Hypothesis 1. Wood- 25 degrees 2. Plastic- 10 degrees 3. Aluminium- 19 degrees 4. Glass- 23 degrees 5. Fine Sandpaper- 41 degrees 6. Coarse Sandpaper- 30 degrees Results |Column
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Cost management | Wilkerson Company Case | | 1. What is the competitive situation faced by Wilkerson? The competitive situation faced by Wilkerson is quite severe. Price cutting in its main product has led to a huge drop in profit. While price increase in another product line partially made up the loss. We will discuss the detailed situation line by line. (1) Valves It was the first product line developed by Wilkerson and its high quality brought it a loyal customer base. Even
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