for all n ≥ 1 by the Principle of Mathematical Induction. Solution a) S(n): ==‚ S(1): = = =1‚ So S(1) is true. Assume S(k): = Consider S(k+1) = = +=-1+= -1. Hence‚ it follows that S(k)⇒S(k + 1) is true for all n ∈ Z+ by the Principle of Mathematical Induction. b) S( n) for n=1‚ = 2 = 2+(1-1). So S(1) is true. Inductive Step: assume S(k)is true‚ for some (particular) k ∈ Z+—that is‚ assume that =2+(k-1). For n=k+1‚ = + (k+1) = 2+ (k-1)+(k+1)= 2+ (2k)= (2=k+1)= 2+k*. So by
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Math in My Life This year in Algebra 2 class I have learn some very interesting and important topics. Throughout this past school year I have grown and learned how to use these newly learned skills and my understanding of algebra is now complete. In math class this year‚ I believe I did fairly well and received almost got all A’s. I think I passed this class is because math in general comes easy to me. I only studied in the beginning of the year‚ as the latter part of the year came much easier.
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STATISTICS HIGHER SECONDARY – FIRST YEAR Untouchability is a sin Untouchability is a crime Untouchability is inhuman TAMILNADU TEXTBOOK CORPORATION College Road ‚ Chennai- 600 006 i ©Government of Tamilnadu First Edition – 2004 Reprinit - 2005 Chairperson Dr. J. Jothikumar Reader in Statistics Presidency College Chennai – 600 005. Thiru K.Nagabushanam S.G.Lecturer in Statistics Presidency College Chennai – 600 005. Reviewers Thiru R.Ravanan S.G.Lecturer in Statistics Presidency
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Name___________________________________________________________________________________Score______________/30 Math 146HON Winter 2012 Exam II Case Study – DUE MONDAY 3/5 IN CLASS USE THIS AS A COVER SHEET! Physicians ’ Reactions to Patient Size Research conducted by: Mikki Hebl and Jingping Xu; Case study prepared by: Emily Zitek Overview Obese people face discrimination on a daily basis in employment‚ education‚ and relationship contexts. Past research has shown that even doctors‚ who are trained
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INTRODUCTION In our daily lives‚ we come across news like "prices of goods rising!" or "super discount!". This means that we have to pay a higher or a lower price for the same goods or services. Very often we use index numbers to indicate these changes. In Form 4‚ we have learnt about Index Number from Chapter 11 in Additional Mathematics. Do you know what exactly Index Number is? Well‚ an index number is an economic data figure reflecting price or quantity compared with a standard
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Scatterplots 4 Pearson’s Correlation 4 Spearman’s Rho 4 Probability 4 Binomial Distribution 4 Assumptions: 5 Subjective Probability 5 Normal Distribution 5 Standard Normal Distribution 5 Sampling Distribution 5 Standard Error of Statistic 5 Central Limit Theorem 5 Area under the Sampling Distribution of the Mean 6 Sampling Distribution‚ Difference between Independent means 6 Sampling Distribution of a Linear Combination of Means 6 Sampling Distribution of Pearson’s R 7
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1. Question : Liberalism rests in a conception of equality whereby the government Student Answer: CORRECT must not choose one person’s good over another. must ensure that we all have the same possessions. must provide everybody with healthcare. must redistribute wealth in order to achieve fairness. Instructor Explanation: The answer can be found in the section “What Does Liberalism Mean in Practice?” Points Received: 1 of 1 Comments: Question 2. Question :
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CHFD3113 Week 1 Quiz Part 1 of 1 - 22.5 Points Question 1 of 30 0.5 Points Which one of the following statements reflects what developmentalists mean by the term maturation? A.Changes related specifically to children’s physical development B.Changes related specifically to children’s emotional development C.Changes that reflect increasingly appropriate social behavior D.Developmental changes that are controlled largely by heredity Answer Key: D Question 2 of 30 0.5 Points Many developmental
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Edayan QNT/351 May 3‚ 2013 Rich Haller Statistics in Business Statistics is a way of gathering‚ analyzing‚ interpreting and presenting data so that it becomes more meaningful. It helps convert raw data into useful information. Statistics is therefore a collection of information. Statistics can be presented in graphical form to make it more appealing and easily understandable by the users. Statistics can be descriptive or inferential. Descriptive statistics have to do with methods in a data set that
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Teeya Clarke MBA 621-Financial and Managerial Accounting July 11‚ 2015 Problem 2-3 Indicate the net effect on assets‚ liabilities and owners’ equity resulting from each of the following transactions: Assets=Liabilities+owners’ Equity 1. Capital stock was issued for $100‚000 cash This will increase assets by $100‚000 and increase equity by $100‚000 2. Bonds payable of $25‚000 were refunded with capital stock. The liabilities will be decreased by 25‚000 and increase equity by 25‚000 3. Depreciation
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