Completing the Square: Quadratic Examples & Deriving the Quadratic Formula (page 2 of 2) Solve x2 + 6x + 10 = 0. Apply the same procedure as on the previous page: This is the original equation. x2 + 6x + 10 = 0 Move the loose number over to the other side. x2 + 6x = – 10 Take half of the coefficient on the x-term (that is‚ divide it by two‚ and keeping the sign)‚ and square it. Add this squares value to both sides of the equation. x^2 + 6x + 9 = –10 + 9 Convert the left-hand side to
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PROBABILITY DISTRIBUTION In the world of statistics‚ we are introduced to the concept of probability. On page 146 of our text‚ it defines probability as "a value between zero and one‚ inclusive‚ describing the relative possibility (chance or likelihood) an event will occur" (Lind‚ 2012). When we think about how much this concept pops up within our daily lives‚ we might be shocked to find the results. Oftentimes‚ we do not think in these terms‚ but imagine what the probability of us getting behind
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Completing the Audit Concepts: Nature of a balance sheet approach to the audit & implications for auditing the income statement * Obtain sufficient‚ competent‚ evidential matter for all balance sheet accounts * Note that if all balances are fairly stated‚ and the balance sheet balances‚ then Retained Earnings must be correct * If Retained Earnings is correct‚ then the Income Statement’s net income cannot be materially in error * Therefore‚ less work is done auditing the income
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QMT200 CHAPTER 3: PROBABILITY DISTRIBUTION 3.1 RANDOM VARIABLES AND PROBABILITY DISTRIBUTION Random variables is a quantity resulting from an experiment that‚ by chance‚ can assume different values. Examples of random variables are the number of defective light bulbs produced during the week and the heights of the students is a class. Two types of random variables are discrete random variables and continuous random variable. 3.2 DISCRETE RANDOM VARIABLE A random variable is called
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Probability 2 Theory Probability theory is the branch of mathematics concerned with probability‚ the analysis of random phenomena. (Feller‚ 1966) One object of probability theory is random variables. An individual coin toss would be considered to be a random variable. I predict if the coin is tossed repeatedly many times the sequence of it landing on either heads or tails will be about even. Experiment The Experiment we conducted was for ten students to flip a coin one hundred times
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Jennifer Smith G.G. Toys: Case study #2 G.G. Toys was a toy manufacturer facing problems with productivity and profitability. The company found a profitable product in their Geoffrey doll and Specialty branded doll #106. Retailers could customize to the specifications and buying habits of their customer base. On average‚ the Geoffrey Doll cost $19.19 to produce‚ and the #106 doll $23.74. To access in a study of their overhead cost for both of their plants‚ research showed that: 1. A setup
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Introduction Objectives PROBABILITY 2.2 Some Elementary Theorems 2.3 General Addition Rule 2.4 Conditional Probability and Independence 2.4.1 Conditional Probability 2.4.2 Independent Events and MultiplicationRule 2.4.3 Theorem of Total Probability and Bayes Theorem 2.5 Summary 2.1 INTRODUCTION You have already learnt about probability axioms and ways to evaluate probability of events in some simple cases. In this unit‚ we discuss ways to evaluate the probability of combination of events
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1) Describe the best holiday trip you made. During the semester holiday‚ me and my family had scheduled that we should go and spent our family vacation at the most spectacular place that is in Penang. This trip has been planned a month ahead by my mom. By looking at the agenda‚ we are rest assured that this will be the greatest vacation ever. Our first choice of place is the Penang Hill situated at Air Itam. Penang Hill is one of the oldest colonial hill station established by the British
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Introduction The word Probability derives from probity‚ a measure of the authority of a witness in a legal case in Europe‚ and often correlated with the witness ’s nobility. In a sense‚ this differs much from the modern meaning of probability‚ which‚ in contrast‚ is used as a measure of the weight of empirical evidence‚ and is arrived at from inductive reasoning and statistical inference. A short history of Probability Theory............ The branch of mathematics known as probability theory was inspired
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Holiday 1) a time of rest from work‚ school etc [= vacation American English] 2) a period of time when you travel to another place for pleasure [= vacation American English] 3) a day fixed by law on which people do not have to go to work or school. E.g.The 4th of July is a national holiday in the US. 4) the holiday season‚ the holidays a) American English-the period between Thanksgiving and New Year b) British English-the period in the summer when most people take a holiday
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