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2. Write the first four terms of the sequence an = 3 an-1+1 for n ≥2, where a1=5 (Points : 3) | 5, 15, 45, 135 5, 16, 49, 148 5, 16, 46, 136 5, 14, 41, 122 |

3. Write a formula for the general term (the nth term) of the arithmetic sequence 13, 6, -1, -8, . . .. Then find the 20th term. (Points : 3) | an = -7n+20; a20 = -120 an = -6n+20; a20 = -100 an = -7n+20; a20 = -140 an = -6n+20; a20 = -100 |

4. Construct a series using the following notation:

(Points : 3) | 6 + 10 + 14 + 18 -3 + 0 + 3 + 6 1 + 5 + 9 + 13 9 + 13 + 17 + 21 |

5. Evaluate the sum:

(Points : 3) | 7 16 23 40 |

6. Find the 16th term of the arithmetic sequence 4, 8, 12, .... (Points : 3) | -48 56 60 64 |

7. Identify the expression for the following summation:(Points : 3) | 6 3 k 4k - 3 |

8. A man earned $2500 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 10th year? (Points : 3) | $7900 $7300 $8500 $6700 |

9. Find the common ratio for the geometric sequence.: 8, 4, 2, 1, 1/2 (Points : 3) | -2 1/2 2 -1/2 |

10. What name do we give a sequence with an unlimited number of terms? (Points : 3) | Finite series Infinite series Infinite sequence Finite sequence…...

...Course Design Guide MTH/221 Version 1 1 Course Design Guide College of Information Systems & Technology MTH/221 Version 1 Discrete Math for Information Technology Copyright © 2010 by University of Phoenix. All rights reserved. Course Description Discrete (as opposed to continuous) mathematics is of direct importance to the fields of Computer Science and Information Technology. This branch of mathematics includes studying areas such as set theory, logic, relations, graph theory, and analysis of algorithms. This course is intended to provide students with an understanding of these areas and their use in the field of Information Technology. Policies Faculty and students/learners will be held responsible for understanding and adhering to all policies contained within the following two documents: University policies: You must be logged into the student website to view this document. Instructor policies: This document is posted in the Course Materials forum. University policies are subject to change. Be sure to read the policies at the beginning of each class. Policies may be slightly different depending on the modality in which you attend class. If you have recently changed modalities, read the policies governing your current class modality. Course Materials Grimaldi, R. P. (2004). Discrete and combinatorial mathematics: An applied introduction. (5th ed.). Boston, MA: Pearson Addison Wesley. Article References Albert, I. Thakar, J., Li, S., Zhang, R., & Albert, R...

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...expensive fossil fuel to actually obtain * Coal-powered generation scales well, making it economically possible to build a wide variety of sizes of generation plants. * A fossil-fuelled power station can be built almost anywhere, so long as you can get large quantities of fuel to it. Most coal fired power stations have dedicated rail links to supply the coal. However, the important issue as of now is whether there are more advantages than disadvantages of fossil fuels like coal! Some disadvantages of coal are that - * it is Non-renewable and fast depleting; * Coal has the lowest energy density of any fossil fuel - that is, it produces the least energy per ton of fuel * It also has the lowest energy density per unit volume, meaning that the amount of energy generated per cubic meter is lower than any other fossil fuel * high coal transportation costs due to the bulk of coal (as a result of the preceding two low energy density problems), especially for countries with no coal resources and hence will require special harbours for coal import and storage. * Coal dust is an extreme explosion hazzard, so transportation and storage must take special precautions to mitigate this danger * Coal storage cost is high especially if required to have enough stock for few years to assure power production availability. * burning fossil fuels releases carbon dioxide, a powerful greenhouse gas, that had been stored in the earth for millions of years,......

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...Hence, this is an exclusive, rather than an inclusive, or. Sometimes, we use or in an exclusive sense. When the exclusive or is used to connect the propositions p and q, the proposition “p or q (but not both)” is obtained. Let p and q be propositions. The exclusive or of p and q, denoted by , is the proposition that is true when exactly one of p and q is true and is false otherwise. Table 4. The truth table for the exclusive or of two propositions | p | Q | | TTFF | TFTF | FTTF | Let p and q be propositions. The implication is the proposition that is false when p is true and q is false and true otherwise. In this implication p is called the hypothesis (or antecedent or premise) and q is called the conclusion (or consequence). Table 5. The truth table for the implication | p | Q | | TTFF | TFTF | TFTT | Because implications arise in many places in mathematical reasoning, a wide variety of terminology is used to express . Some of the more common ways of expressing this implication are: “if p, then q”, “p implies q”, “if p, q”, “p only if q”, “p is sufficient for q”, “q if p”, “q whenever p”, “q is necessary for p”. We can build up compound propositions using the negation operator and the different connectives defined so far. Parentheses are used to specify the order in which the various logical operators in a compound proposition are applied. In particular, the logical operators in the innermost parentheses are applied first. For instance, is the conjunction of ......

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...scope of employment include all but which of the following? Student Answer: The act is similar to the one the principal authorized. The act is not seriously criminal. The act took place during hours that the servant is generally employed. All of the answer choices are factors in determining if an act is “within the scope of employment.” Points Received: 0 of 1 Comments: 4. Question : A whistleblower is: Student Answer: always protected by the law. never protected by the law. always protected when filing suit under the False Claims Act. always protected if she is an employee of the federal government. Points Received: 1 of 1 Comments: 5. Question : Donny fired Willie. If Willie is an at-will employee, what is true? Student Answer: Willie has no legal recourse, unless Donny committed a criminal act. Willie has no legal recourse because he is an employee at-will. Willie has no legal recourse, unless Donny violated public policy. Donny is immune from lawsuit because there is no contract. Points Received: 1 of 1 Comments: 6. Question : Which of the following employers has violated VII? Student Answer: Carlos promoted the most qualified employee. Hans promoted five white males because they were the most senior. Luke refused to hire a Buddhist to work on a Christian Science newspaper. Max......

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...budgeting application (where xj = 1, if project j is selected, xj = 0, otherwise) the constraint x1 - x2 ≤ 0 implies that if project 2 is selected, project 1 can not be selected. Answer Selected Answer: False Correct Answer: False Question 2 2 out of 2 points If we are solving a 0-1 integer programming problem, the constraint x1 ≤ x2 is a conditional constraint. Answer Selected Answer: True Correct Answer: True Question 3 2 out of 2 points If exactly 3 projects are to be selected from a set of 5 projects, this would be written as 3 separate constraints in an integer program. Answer Selected Answer: False Correct Answer: False Question 4 2 out of 2 points A conditional constraint specifies the conditions under which variables are integers or real variables. Answer Selected Answer: False Correct Answer: False Question 5 2 out of 2 points If we are solving a 0-1 integer programming problem with three decision variables, the constraint x1 + x2 + x3 ≤ 3 is a mutually exclusive constraint. Answer Selected Answer: False Correct Answer: False Question 6 0 out of 2 points The solution to the LP relaxation of a maximization integer linear program provides an upper bound for the value of the objective function. Answer Selected Answer: False Correct Answer: True Question 7 2 out of 2 points If......

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...L1.1 Lecture Notes: Logic Justification: Precise and structured reasoning is needed in all sciences including computer science. Logic is the basis of all reasoning. Computer programs are similar to logical proofs. Just as positive whole numbers are the fundamental units for arithmetic, propsitions are the fundamental units of logic. Proposition: A statement that is either true or false. E.g. Today is Monday Today is Tuesday The square root of 4 is 2 The square root of 4 is 1 2 is even, and the square of two is even, and 3 is odd and the square of 3 is odd. The Panthers can clinch a playoff berth with a win, plus a loss by the Rams, a loss or tie by the Saints and Bears, a win by the Seahawks and a tie between the Redskins and Cowboys. (Copied verbatim from the sports page 12/26/2004.) Propositions may be true or false and no preference is given one way or the other. This is sometimes difficult to grasp as we have a “natural” preference for true statements. But “snow is chartreuse” and “snow is white” are both propositions of equal standing though one is true and the other false. Non-propositions: What is today? Is today Monday? Questions are not propositions. You can’t judge whether the question itself is true or false, even though the answer to the question may be true or false. Show me some ID! Similarly, imperative statements lack a truth value. 2x=4 x=y Statements with undetermined variables do not have......

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...DeVry MATH 221 Quiz Week 5 - Latest IF You Want To Purcahse A+ Work then Click The Link Below For Instant Down Load http://www.acehomework.net/wp-admin/post.php?post=3365&action=edit IF You Face Any Problem Then E Mail Us At JOHNMATE1122@GMAIL.COM MATH 221 Quiz Week 5 DeVry 1. Sixty percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and (c) at most five. 2. Find the probability that the number that say they would feel secure is exactly five. P(5) = 0.279 (Round to three decimal places as needed) 1. Find the probability that the number that say they would feel secure is more than five. P(x>5) = 0.315 (Round to three decimal places as needed) 1. Find the probability that the number that say they would feel secure is at most five. P(x≤5) = 0.685 (Round to three decimal places as needed) Hint: Let X be the number of households say they would feel secure if they had $50,000 in savings. Clearly X is binomial with n = 8 and p = 0.60. The probability mass function binomial variable is given by .The probability for different values of x are given below. X P(X) P(=X) 0 0.00065536 0.00065536 0 0.99934464 1 1 0.00786432 0.00851968 0.00065536 0.99148032 0.99934464 2 0.04128768 0.04980736 0.00851968 0.95019264 0.99148032 ...

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...DeVry MATH 221 Quiz Week 5 - Latest IF You Want To Purcahse A+ Work then Click The Link Below For Instant Down Load http://www.acehomework.net/wp-admin/post.php?post=3365&action=edit IF You Face Any Problem Then E Mail Us At JOHNMATE1122@GMAIL.COM MATH 221 Quiz Week 5 DeVry 1. Sixty percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and (c) at most five. 2. Find the probability that the number that say they would feel secure is exactly five. P(5) = 0.279 (Round to three decimal places as needed) 1. Find the probability that the number that say they would feel secure is more than five. P(x>5) = 0.315 (Round to three decimal places as needed) 1. Find the probability that the number that say they would feel secure is at most five. P(x≤5) = 0.685 (Round to three decimal places as needed) Hint: Let X be the number of households say they would feel secure if they had $50,000 in savings. Clearly X is binomial with n = 8 and p = 0.60. The probability mass function binomial variable is given by .The probability for different values of x are given below. X P(X) P(=X) 0 0.00065536 0.00065536 0 0.99934464 1 1 0.00786432 0.00851968 0.00065536 0.99148032 0.99934464 2 0.04128768 0.04980736 0.00851968 0.95019264 0.99148032 ...

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...DeVry MATH 221 Quiz Week 5 - Latest IF You Want To Purcahse A+ Work then Click The Link Below For Instant Down Load http://www.acehomework.net/wp-admin/post.php?post=3365&action=edit IF You Face Any Problem Then E Mail Us At JOHNMATE1122@GMAIL.COM MATH 221 Quiz Week 5 DeVry 1. Sixty percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and (c) at most five. 2. Find the probability that the number that say they would feel secure is exactly five. P(5) = 0.279 (Round to three decimal places as needed) 1. Find the probability that the number that say they would feel secure is more than five. P(x>5) = 0.315 (Round to three decimal places as needed) 1. Find the probability that the number that say they would feel secure is at most five. P(x≤5) = 0.685 (Round to three decimal places as needed) Hint: Let X be the number of households say they would feel secure if they had $50,000 in savings. Clearly X is binomial with n = 8 and p = 0.60. The probability mass function binomial variable is given by .The probability for different values of x are given below. X P(X) P(=X) 0 0.00065536 0.00065536 0 0.99934464 1 1 0.00786432 0.00851968 0.00065536 0.99148032 0.99934464 2 0.04128768 0.04980736 0.00851968 0.95019264 0.99148032 ...

Words: 3221 - Pages: 13

Words: 3221 - Pages: 13

Words: 3221 - Pages: 13

...red, so the probability that the second ball is red is 4/7 (and the probability that it is yellow is 3/7). On the other hand, if the ﬁrst ball is yellow, then ﬁve out of the remaining seven balls are red, so the probability that the second ball is red is 5/7 (and the probability that it is yellow is 2/7). The probabilities of each of the four outcomes can be computed by multiplying the probabilities along the branches leading to the outcomes. First ball R 5 8 3 8 Second ball 4 7 3 7 Y 5 7 2 7 R Y R Y Outcome Probability RR 5 8 × 4 7 = 5 14 RY 5 8 × 3 7 = 15 56 YR 3 8 × 5 7 = 15 56 YY 3 8 × 2 7 = 3 28 (b) Before the ﬁrst draw, ﬁve out of the eight balls in the urn are red. Each ball is equally likely to be drawn. So the probability that the ﬁrst ball drawn is red is 5/8. (c) The event that at least one of the two balls is red contains three outcomes: RR, RY, and YR. Since we know the probabilities of all of these outcomes, we can ﬁnd the probability of this event by adding the probabilities of the individual outcomes. So the probability that at least one of the two balls is red is 5/14 + 15/56 + 15/56 = 25/28. Alternatively, we can observe that the event that at least one of the two balls is red is the complement of the event that both balls are yellow. The probability that both balls are yellow is 3/28, so the probability that it......

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...Math 540 Quiz 5 week 10 Question 1 2 out of 2 points If exactly 3 projects are to be selected from a set of 5 projects, this would be written as 3 separate constraints in an integer program. Selected Answer: Correct False Correct Answer: Correct False Question 2 2 out of 2 points The solution to the LP relaxation of a maximization integer linear program provides an upper bound for the value of the objective function. Selected Answer: Correct True Correct Answer: Correct True Question 3 0 out of 2 points In a problem involving capital budgeting applications, the 0-1 variables designate the acceptance or rejection of the different projects. Selected Answer: Incorrect False Correct Answer: Correct True Question 4 2 out of 2 points In a mixed integer model, some solution values for decision variables are integer and others are only 0 or 1. Selected Answer: Correct False Correct Answer: Correct False Question 5 2 out of 2 points Rounding non-integer solution values up to the nearest integer value will result in an infeasible solution to an integer linear programming problem. Selected Answer: Correct False Correct Answer: Correct False Question 6 2 out of 2 points If we are solving a 0-1 integer programming problem with three decision variables, the constraint x1 + x2 + x3 ≤ 3 is a mutually exclusive constraint. Selected Answer: Correct False Correct Answer: Correct False Question 7 0 out......

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...DeVry MATH 221 Quiz Week 5 - Latest IF You Want To Purcahse A+ Work then Click The Link Below For Instant Down Load http://www.acehomework.net/?download=devry-math-221-quiz-week-5-latest IF You Face Any Problem Then E Mail Us At JOHNMATE1122@GMAIL.COM MATH 221 Quiz Week 5 DeVry 1. Sixty percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and (c) at most five. 2. Find the probability that the number that say they would feel secure is exactly five. P(5) = 0.279 (Round to three decimal places as needed) 1. Find the probability that the number that say they would feel secure is more than five. P(x>5) = 0.315 (Round to three decimal places as needed) 1. Find the probability that the number that say they would feel secure is at most five. P(x≤5) = 0.685 (Round to three decimal places as needed) Hint: Let X be the number of households say they would feel secure if they had $50,000 in savings. Clearly X is binomial with n = 8 and p = 0.60. The probability mass function binomial variable is given by .The probability for different values of x are given......

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...DeVry MATH 221 Quiz Week 5 - Latest IF You Want To Purcahse A+ Work then Click The Link Below For Instant Down Load http://www.acehomework.net/?download=devry-math-221-quiz-week-5-latest IF You Face Any Problem Then E Mail Us At JOHNMATE1122@GMAIL.COM MATH 221 Quiz Week 5 DeVry 1. Sixty percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and (c) at most five. 2. Find the probability that the number that say they would feel secure is exactly five. P(5) = 0.279 (Round to three decimal places as needed) 1. Find the probability that the number that say they would feel secure is more than five. P(x>5) = 0.315 (Round to three decimal places as needed) 1. Find the probability that the number that say they would feel secure is at most five. P(x≤5) = 0.685 (Round to three decimal places as needed) Hint: Let X be the number of households say they would feel secure if they had $50,000 in savings. Clearly X is binomial with n = 8 and p = 0.60. The probability mass function binomial variable is given by .The probability for different values of x are given......

Words: 3221 - Pages: 13