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A bag contains 20 marbles. These marbles are identical, except they are labeled with the

Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman ISBN: 9780840049421 447

Solution for problem 30.9 Chapter 30

Mathematics: A Discrete Introduction | 3rd Edition

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Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman

Mathematics: A Discrete Introduction | 3rd Edition

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Problem 30.9

A bag contains 20 marbles. These marbles are identical, except they are labeled with the integers 1 through 20. Five marbles are drawn at random from the bag. There are a few ways to think about this. a. Marbles are drawn one at a time without replacement. Once a marble is drawn, it is not replaced in the bag. We consider all the lists of marbles we might create. (In this case, picking marbles 1; 2; 3; 4; 5 in that order is different from picking marbles 5; 4; 3; 2; 1.) b. Marbles are drawn all at once without replacement. Five marbles are snatched up at once. (In this case, picking marbles 1; 2; 3; 4; 5 and picking marbles 5; 4; 3; 2; 1 are considered the same outcome.) c. Marbles are drawn one at a time with replacement. Once a marble is drawn, it is tossed back into the bag (where it is hopelessly mixed up with the marbles still in the bag). Then the next marble is drawn, tossed back in, and so on. (In this case, picking 1; 1; 2; 3; 5 and picking 1; 2; 1; 3; 5 are different outcomes.) For each of these interpretations, describe the sample space that models these experiments

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Graphical transformations: y=− f (x)reflectsy= f (x)about x−axis y= f (−x)reflectsy= f (x)aboutthe y−axis y= f (x)+cshiftsy= f (x)¿theupcunits y= f (x)−cshifts y= f (x)¿thedowncunits y= f x+c )shfits y= (x)¿the¿units y= f x−c shfits y= fx ¿the¿cunits y=cf (x)stretches y= f (x)verticallybyc y= ( f (x))compresses y= f (x)verticallybyc c y= f cx compresses y= f (x)horizontally byc 1 y= f ( ) stretchesy= f (x)horizontallybyc c Combinations of functions:  ( f ±g¿ (x)= f (x)±g(x)  (fg)x)= f x g x ) f f(x)  () (x)= provided g(x)≠0 g g( ) f  For (f ±g)(x),(fg)x),∧ (g x , the domain is the intersection of f and g, but for f (x) , make g(x) cannot equal 0. (g  Composite of f & g: (f ∘g)x = f (g(x) o In general, f ∘g≠g∘ f  But f ∘g=g∘ f when  f =g f ∧gundoeachother

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Chapter 30, Problem 30.9 is Solved
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Textbook: Mathematics: A Discrete Introduction
Edition: 3
Author: Edward A. Scheinerman
ISBN: 9780840049421

The full step-by-step solution to problem: 30.9 from chapter: 30 was answered by , our top Math solution expert on 03/15/18, 06:06PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 69 chapters, and 1110 solutions. Since the solution to 30.9 from 30 chapter was answered, more than 244 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Mathematics: A Discrete Introduction, edition: 3. Mathematics: A Discrete Introduction was written by and is associated to the ISBN: 9780840049421. The answer to “A bag contains 20 marbles. These marbles are identical, except they are labeled with the integers 1 through 20. Five marbles are drawn at random from the bag. There are a few ways to think about this. a. Marbles are drawn one at a time without replacement. Once a marble is drawn, it is not replaced in the bag. We consider all the lists of marbles we might create. (In this case, picking marbles 1; 2; 3; 4; 5 in that order is different from picking marbles 5; 4; 3; 2; 1.) b. Marbles are drawn all at once without replacement. Five marbles are snatched up at once. (In this case, picking marbles 1; 2; 3; 4; 5 and picking marbles 5; 4; 3; 2; 1 are considered the same outcome.) c. Marbles are drawn one at a time with replacement. Once a marble is drawn, it is tossed back into the bag (where it is hopelessly mixed up with the marbles still in the bag). Then the next marble is drawn, tossed back in, and so on. (In this case, picking 1; 1; 2; 3; 5 and picking 1; 2; 1; 3; 5 are different outcomes.) For each of these interpretations, describe the sample space that models these experiments” is broken down into a number of easy to follow steps, and 210 words.

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