MATH 275: Calculus III Lecture Notes by Angel V. Kumchev Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Lecture 1. Lecture 2. Lecture 3. Lecture 4. Lecture 5. Lecture 6. Lecture 7. Lecture 8. Lecture 9. Lecture 10. Lecture 11. Lecture 12. Lecture 13. Lecture 14. Lecture 15. Lecture 16. Lecture 17. Lecture 18. Lecture 19. Lecture 20. Lecture 21. Lecture 22. Lecture 23. Three-Dimensional Coordinate Systems . . . . . . . . . . .
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projects A, C, G, B, for a total of $875 million. 4. This question examines expected values, standard deviations, and risk measures for MICHTEC’s products with probabilities of .2, .5, and .3 for boom, recession, and normal growth. a. Expected annual revenues = $90(.2) + $75(.5) + $85(.3) = $77.175, or as this is expressed in millions of dollars, the expected annual revenues are $77,175,000. b. Standard deviation of annual revenues = [(90 – 77.175)2(.2) + (75 – 77.175)2(.5) + (85 –
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University of Frankfurt am Main Bachelor Seminar Business Cycle: Theory and Empirical Applications Country of interest: Netherlands Teacher: Prof. Ctirad Slavik Summer Semester 2013 Yisong Dong Student ID: 3903447 June 17.2013 Contents 1. Introduction……………………………………………………………………3 2. Data Work………………………...…………………………………………...3 2.1 2.2 2.3 2.4 2.5 Data……………………………………………………………………3 Detrending the data with Hodrick-Prescott Filter………………..……4 Basic Statistics for the detrended data………………………………...7
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2. Descriptive Statistics Once the Data collection process has been completed the researcher must then try to make sense of the information collected. The data at this stage will be in its raw form and will generally not be suitable for presentation or interpretation The purpose of descriptive statistics, as the name suggests, is to describe a set of data. They are used to provide manageable summaries of data sets. They are the simplest and most widely used set of statistics and in many
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Otiz v. St. Peter's Case Study Joyce Alston Grand Canyon University: HTL-520 Legal Issues with Physicians December 3, 2014 Tafford Oltz was a nurse anesthetist who brought an antitrust action against physician anesthesiologists and the St. Peter’s Community Hospital. This case study involved the violation of antitrust laws deriving from other anesthesiologist in the hospital who not accepted having to compete with Oltz because he was said to have charged rates that were lower and the majority
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UNIT #5 DISCUSSION DQ #1: Data collection is one of the most challenging steps that prevent learners from completing their dissertation. What challenges do you foresee in collecting your data? What are some strategies you’ll deploy to overcome these challenges? a) Challenges in collecting data Reliability and validity In data collection, reliability and validity of the data are important considerations, which a researcher should pay attention to. Reliability, in this case, can be described
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MAT 300 – Assignments and Rubrics ALEKS Pie Completion Worth 400 points The primary goal of this class is for you to complete the entire pie by the end of the term. Points for pie completion will be added to your score at the end of the term. ALEKS Emphasis on Lab Work. On-ground sections of the course will be taught in a computer lab, with three (3) hours of lab time using ALEKS for every one (1) hour of traditional instruction. Thus, students in an onground section of the course will log
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P (standard) = 46/200 P (not standard) = 1- 46/200= 77/100 P (not standard) = P (DELUXE U RUGGED) = 69/200+85/200 = 77/100 2. P (A) =0.3 P(S) = 0.39 P (M) = 0.63 P (A∩S∩M) = 0.3*0.39*0.63 = 0.07371 ASSUMPTION The events are all independent of each other. 3. P(X=7) 1-(1/8)*(7/8)7= 0.95 b. P(X>7) 1- (1/8)*(7/8)7+ (1/8)2*(7/8)6 = 0.944 5 a Z = x-µ/σ Where the absolute value of z represents the distance between the raw score and the population means in units of standard deviation
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1.The advertised prices for 10 used cars were as follows: 10495, 15886, 10900, 19500, 9950, 13000, 15900,16000, 14800, 13500 a. Determine the average price The average price (Mean) =(10495+15886+10900+19500+9950+13000+15900+16000+14800+13500)/10 Mean = 139931/10 = 13993.1 The average price = 13993.1 b. Determine the median car price 9950 ,10495 , 10900 , 13000 , 13500 ,14800 ,15886 ,15900 ,16000, 19500 Median = (13500+14800) /2 =14150 2.An auctioneer sold 500 lots of restaurant equipment
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Random Variables . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.2.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.2.2 Expected Value . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2.3 Variance and Standard Deviation . . . . . . . . . . . . . . 17 3.2.4 “Shortcuts” for Binomial Random Variables . . . . . . . . 18 1 4 Probability Distributions 19 4.1 Binomial Distributions . . . . . . . . . . . . . . . . . . . . . . . . 19 4.2 Poisson Distributions
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