
Discrete Mathematics With Applications
5th Edition
ISBN: 9781337694193
Author: EPP, Susanna S.
Publisher: Cengage Learning,
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Chapter 4.10, Problem 8TY
To determine
The gcd(a, b)
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For a binary asymmetric channel with Py|X(0|1) = 0.1 and Py|X(1|0) = 0.2; PX(0) = 0.4 isthe probability of a bit of “0” being transmitted. X is the transmitted digit, and Y is the received digit.a. Find the values of Py(0) and Py(1).b. What is the probability that only 0s will be received for a sequence of 10 digits transmitted?c. What is the probability that 8 1s and 2 0s will be received for the same sequence of 10 digits?d. What is the probability that at least 5 0s will be received for the same sequence of 10 digits?
V2
360
Step down
+
I₁ =
I2
10KVA
120V
10KVA
1₂ = 360-120
or 2nd Ratio's V₂
m
120
Ratio=
360
√2
H
I2
I, + I2
120
Q2. [20 points] An amplitude X of a Gaussian signal x(t) has a mean value of 2 and an RMS value of
√(10), i.e. square root of 10. Determine the PDF of x(t).
Chapter 4 Solutions
Discrete Mathematics With Applications
Ch. 4.1 - An integer is even if, and only if,_______.Ch. 4.1 - An integer is odd if, and only if,____Ch. 4.1 - An integer n is prime if, and only if,_______Ch. 4.1 - The most common way to disprove a universal...Ch. 4.1 - Prob. 5TYCh. 4.1 - To use the method of direct proof to prove a...Ch. 4.1 - In 1-4 justify your answer by using the...Ch. 4.1 - In 1-4 justify your answer by using by the...Ch. 4.1 - In 1-4 justify your answers by using the...Ch. 4.1 - In 1-4 justify your answers by using the...
Ch. 4.1 - Prove the statements in 5-11. There are integers m...Ch. 4.1 - Prove the statements in 5-11. There are distinct...Ch. 4.1 - Prove the statements in 5—11. 7. There are real...Ch. 4.1 - Prob. 8ESCh. 4.1 - Prove the statements in 5-11. There is a real...Ch. 4.1 - Prob. 10ESCh. 4.1 - Prove the statements in 5-11. There is an integer...Ch. 4.1 - In 12-13, (a) write a negation for the given...Ch. 4.1 - In 12-13, (a) write a negation for the given...Ch. 4.1 - Prob. 14ESCh. 4.1 - Disprove each of the statements in 14-16 by giving...Ch. 4.1 - Disprove each of the statements in 14-16 by giving...Ch. 4.1 - In 17-20, determine whether the property is true...Ch. 4.1 - In 17-20, determine whether the property is true...Ch. 4.1 - In 17-20, determine whether the property is true...Ch. 4.1 - In 17-20, determine whether the property is true...Ch. 4.1 - Prob. 21ESCh. 4.1 - Prove the statement is 21 and 22 by the method of...Ch. 4.1 - Prob. 23ESCh. 4.1 - Each of the statements in 23—26 is true. For each....Ch. 4.1 - Prob. 25ESCh. 4.1 - Prob. 26ESCh. 4.1 - Fill in the blanks in the following proof....Ch. 4.1 - In each of 28-31: a. Rewrite the theorem in three...Ch. 4.1 - In each of 28-31: a. Rewrite the theorem in three...Ch. 4.1 - In each of 28-31: a. Rewrite the theorem in three...Ch. 4.1 - Theorem 4,1-2: The sum of any even integer and...Ch. 4.2 - The meaning of every variable used in a proof...Ch. 4.2 - Proofs should be written in sentences that are...Ch. 4.2 - Every assertion in a proof should be supported by...Ch. 4.2 - Prob. 4TYCh. 4.2 - A new thought or fact that does not follow as an...Ch. 4.2 - Prob. 6TYCh. 4.2 - Displaying equations and inequalities increases...Ch. 4.2 - Some proof-writing mistakes are...Ch. 4.2 - Prove the statements in 1-11. In each case use...Ch. 4.2 - Prove the statements in 1-11. In each case use...Ch. 4.2 - Prove the statements in 1-11. In each case use...Ch. 4.2 - Prob. 4ESCh. 4.2 - Prove the statements in 1-11. In each case use...Ch. 4.2 - Prove the statements in 1-11. In each case use...Ch. 4.2 - Prob. 7ESCh. 4.2 - Prove the statements in 1-11. In each case use...Ch. 4.2 - Prove the statements in 1-11. In each case use...Ch. 4.2 - Prob. 10ESCh. 4.2 - Prove the statements in 1-11. In each case use...Ch. 4.2 - Prove that the statements in 12—14 are false....Ch. 4.2 - Prove that the statements in 12—14 are false....Ch. 4.2 - Prove that the statements in 12-14 are false....Ch. 4.2 - Find the mistakes in the “proofs” shown in 15-19....Ch. 4.2 - Prob. 16ESCh. 4.2 - Prob. 17ESCh. 4.2 - Find the mistakes in the “proofs” show in 15-19....Ch. 4.2 - Find the mistakes in the “proofs” shown in 15-19....Ch. 4.2 - In 20-38 determine whether the statement is true...Ch. 4.2 - In 20-38 determine whether the statement is true...Ch. 4.2 - In 20-38 determine whether the statement is true...Ch. 4.2 - Prob. 23ESCh. 4.2 - Prob. 24ESCh. 4.2 - In 20-38 determine whether the statement is true...Ch. 4.2 - In 20-38 determine whether the statement is true...Ch. 4.2 - In 20-38 determine whether the statement is true...Ch. 4.2 - Prob. 28ESCh. 4.2 - Prob. 29ESCh. 4.2 - In 20-38 determine whether the statement is true...Ch. 4.2 - In 20-38 determine whether the statement is true...Ch. 4.2 - Prob. 32ESCh. 4.2 - Prob. 33ESCh. 4.2 - In 20-38 determine whether the statement is true...Ch. 4.2 - Prob. 35ESCh. 4.2 - Prob. 36ESCh. 4.2 - Prob. 37ESCh. 4.2 - Prob. 38ESCh. 4.2 - Suppose that integers m and n are perfect squares....Ch. 4.2 - Prob. 40ESCh. 4.2 - Prob. 41ESCh. 4.3 - To show that a real number is rational, we must...Ch. 4.3 - Prob. 2TYCh. 4.3 - Prob. 3TYCh. 4.3 - The numbers in 1—7 are all rational. Write each...Ch. 4.3 - The numbers in 1—7 are all rational. Write each...Ch. 4.3 - Prob. 3ESCh. 4.3 - The numbers in 1—7 are all rational. Write each...Ch. 4.3 - The numbers in 1—7 are all rational. Write each...Ch. 4.3 - The numbers in 1—7 are all rational. Write each...Ch. 4.3 - The numbers in 1—7 are all rational. Write each...Ch. 4.3 - The zero product property, says that if a product...Ch. 4.3 - Assume that a and b are both integers and that a0...Ch. 4.3 - Assume that m and n are both integers and that n0...Ch. 4.3 - Prove that every integer is a rational number.Ch. 4.3 - Prob. 12ESCh. 4.3 - Prob. 13ESCh. 4.3 - Consider the statement: The cube of any rational...Ch. 4.3 - Prob. 15ESCh. 4.3 - Determine which of the statements in 15—19 are...Ch. 4.3 - Prob. 17ESCh. 4.3 - Determine which of the statements in 15—19 are...Ch. 4.3 - Determine which of the statements in 15—19 are...Ch. 4.3 - Use the results of exercises 18 and 19 to prove...Ch. 4.3 - Prob. 21ESCh. 4.3 - Use the properties of even and odd integers that...Ch. 4.3 - Use the properties of even and odd integers that...Ch. 4.3 - Prob. 24ESCh. 4.3 - Derive the statements in 24-26 as corollaries of...Ch. 4.3 - Derive the statements in 24-26 as corollaries of...Ch. 4.3 - It is a fact that if n is any nonnegative integer,...Ch. 4.3 - Suppose a, b, c, and d are integers and ac ....Ch. 4.3 - Suppose a,b, and c are integers and x,y and z are...Ch. 4.3 - Prove that one solution for a quadratic equation...Ch. 4.3 - Prob. 31ESCh. 4.3 - Prove that for every real number c, if c is a root...Ch. 4.3 - Use the properties of even and odd integers that...Ch. 4.3 - Prob. 34ESCh. 4.3 - Prob. 35ESCh. 4.3 - In 35-39 find the mistakes in the “proofs” that...Ch. 4.3 - Prob. 37ESCh. 4.3 - In 35-39 find the mistakes in the "proofs” that...Ch. 4.3 - In 35-39 find the mistakes in the “proofs” that...Ch. 4.4 - TO show that a nonzero integer d divides an...Ch. 4.4 - To say that d divides n means the same as saying...Ch. 4.4 - Prob. 3TYCh. 4.4 - Prob. 4TYCh. 4.4 - Prob. 5TYCh. 4.4 - The transitivity of divisibility theorem says that...Ch. 4.4 - Prob. 7TYCh. 4.4 - Prob. 8TYCh. 4.4 - Prob. 1ESCh. 4.4 - Give a reason for your answer in each of 1-13,...Ch. 4.4 - Prob. 3ESCh. 4.4 - Give a reason for your answer in each of 1-13,...Ch. 4.4 - Give a reason for your answer in each of 1-13,...Ch. 4.4 - Prob. 6ESCh. 4.4 - Prob. 7ESCh. 4.4 - Prob. 8ESCh. 4.4 - Give a reason for your answer in each of 1-13,...Ch. 4.4 - Prob. 10ESCh. 4.4 - Prob. 11ESCh. 4.4 - Prob. 12ESCh. 4.4 - Give a reason for your answer in each of 1—13....Ch. 4.4 - Fill in the blanks in the following proof that for...Ch. 4.4 - Prove statements 15 and 16 directly from the the...Ch. 4.4 - Prob. 16ESCh. 4.4 - Prob. 17ESCh. 4.4 - Consider the following statement: The negative of...Ch. 4.4 - Show that the following statement is false: For...Ch. 4.4 - Prob. 20ESCh. 4.4 - For each statement in 20-32, determine whether the...Ch. 4.4 - Prob. 22ESCh. 4.4 - For each statement in 20-32, determine whether the...Ch. 4.4 - Prob. 24ESCh. 4.4 - For each statement in 20-32, determine whether the...Ch. 4.4 - Prob. 26ESCh. 4.4 - For each statement in 20-32, determine whether the...Ch. 4.4 - For each statement in 20-32, determine whether the...Ch. 4.4 - For each statements in 20-32, determine whether...Ch. 4.4 - For each statement in 20-32, determine whether the...Ch. 4.4 - For each statement in 20-32, determine whether the...Ch. 4.4 - For each statement in 20—32, determine whether the...Ch. 4.4 - Prob. 33ESCh. 4.4 - Consider a string consisting of a’s, b’s, and c’s...Ch. 4.4 - Two athletes run a circular track at a steady pace...Ch. 4.4 - It can be shown (see exercises 44-48) that an...Ch. 4.4 - Use the unique factorization theorem to write the...Ch. 4.4 - Let n=8,424. Write the prime factorization for n....Ch. 4.4 - Prob. 39ESCh. 4.4 - Prob. 40ESCh. 4.4 - How many zeros are at the end of 458.885 ? Explain...Ch. 4.4 - Prob. 42ESCh. 4.4 - At a certain university 2/3 of the mathematics...Ch. 4.4 - Prove that if n is any nonnegative integer whose...Ch. 4.4 - Prove that if n is any nonnegative nonnegative...Ch. 4.4 - Prob. 46ESCh. 4.4 - Prob. 47ESCh. 4.4 - Prove that for any nonnegative integer n, if the...Ch. 4.4 - Prob. 49ESCh. 4.4 - The integer 123,123 has the form abc, abc, where...Ch. 4.5 - The quotient-remainder theorem says that for all...Ch. 4.5 - Prob. 2TYCh. 4.5 - Prob. 3TYCh. 4.5 - Prob. 4TYCh. 4.5 - Prob. 5TYCh. 4.5 - Prob. 6TYCh. 4.5 - For each of the values of n and d given in 1-6,...Ch. 4.5 - For each of the values of n and d given in 1-6,...Ch. 4.5 - For each of the values of n and d given in 1-6,...Ch. 4.5 - For each of the values of n and d given in 1-6,...Ch. 4.5 - Prob. 5ESCh. 4.5 - For each of the values of n and d given in 1-6,...Ch. 4.5 - Evalute the expressions in 7-10 43div9 43mod9Ch. 4.5 - Evalute the expressions in7-10 50div7 50mod7Ch. 4.5 - Evalute the expressions in7-10 28div5 28mod5Ch. 4.5 - Prob. 10ESCh. 4.5 - Check the correctness of formula (4.5.1) given in...Ch. 4.5 - Justify formula (4.5.1) for general values of DayT...Ch. 4.5 - On a Monday a friend says he will meet you again...Ch. 4.5 - If today isTuesday, what day of the week will it...Ch. 4.5 - January 1,2000, was a Saturday, and 2000 was a...Ch. 4.5 - Prob. 16ESCh. 4.5 - Prove directky from the definitions that for every...Ch. 4.5 - Prove that the product of any two consecutive...Ch. 4.5 - Prove directly from the definitions that for all...Ch. 4.5 - Prob. 20ESCh. 4.5 - Suppose b is any integer. If bmod12=5 , what is...Ch. 4.5 - Suppose c is any integer. If c mod 15=3 , what is...Ch. 4.5 - Prove that for every integer n, if mod 5=3 then...Ch. 4.5 - Prove that for all integers m and n, if m mod 5=2...Ch. 4.5 - Prove that for all integrs a and b, if a mod 7=5...Ch. 4.5 - Prove that a necessary and sufficient and...Ch. 4.5 - Use the quotient-remainder theorem with divisor...Ch. 4.5 - Prove: Given any set of three consecutive...Ch. 4.5 - Use the quotient-remainder theorem with divisor...Ch. 4.5 - Use the quotient-remainder theorem with divisor...Ch. 4.5 - In 31-33, you may use the properties listed in...Ch. 4.5 - In 31-33, yoy may use the properties listed in...Ch. 4.5 - In 31-33, you may use the properties listed in...Ch. 4.5 - Given any integer n, if n3 , could n, n+2 , and...Ch. 4.5 - Prob. 35ESCh. 4.5 - Prove each of the statements in 35-43. The product...Ch. 4.5 - Prove each of the statements in 35-43. For any...Ch. 4.5 - Prove of the statements in 35-43. For every...Ch. 4.5 - Prove each of the statement in 35-43. Every prime...Ch. 4.5 - Prob. 40ESCh. 4.5 - Prob. 41ESCh. 4.5 - Prove each of the statements if 35-43. For all...Ch. 4.5 - Prob. 43ESCh. 4.5 - A matrix M has 3 rows and 4 columns. [ a 11 a 12 a...Ch. 4.5 - Prob. 45ESCh. 4.5 - Prob. 46ESCh. 4.5 - If m, n, and d are integers, d0 , and d(mn) , what...Ch. 4.5 - Prob. 48ESCh. 4.5 - Prob. 49ESCh. 4.5 - Prob. 50ESCh. 4.6 - Given any real number x, the floor of x is the...Ch. 4.6 - Prob. 2TYCh. 4.6 - Prob. 1ESCh. 4.6 - Compute x and x for each of the values of x in...Ch. 4.6 - Prob. 3ESCh. 4.6 - Compute x and x for each of the values of x in...Ch. 4.6 - Use the floor notation to express 259 div 11 and...Ch. 4.6 - If k is an integer, what is [k]? Why?Ch. 4.6 - If k is an integer, what is [k+12] ? Why?Ch. 4.6 - Prob. 8ESCh. 4.6 - Prob. 9ESCh. 4.6 - Prob. 10ESCh. 4.6 - Prob. 11ESCh. 4.6 - Prob. 12ESCh. 4.6 - Prob. 13ESCh. 4.6 - Prob. 14ESCh. 4.6 - Prob. 15ESCh. 4.6 - Some of the statements in 15-22 are true and some...Ch. 4.6 - Prob. 17ESCh. 4.6 - Prob. 18ESCh. 4.6 - Some of the statements is 15-22 are ture and some...Ch. 4.6 - Prob. 20ESCh. 4.6 - Prob. 21ESCh. 4.6 - Prob. 22ESCh. 4.6 - Prob. 23ESCh. 4.6 - Prob. 24ESCh. 4.6 - Prob. 25ESCh. 4.6 - Prob. 26ESCh. 4.6 - Prob. 27ESCh. 4.6 - Prob. 28ESCh. 4.6 - Prove each of the statements in 23-33. 29. For any...Ch. 4.6 - Prob. 30ESCh. 4.6 - Prob. 31ESCh. 4.6 - Prob. 32ESCh. 4.6 - Prob. 33ESCh. 4.7 - To prove a statement by contradiction, you suppose...Ch. 4.7 - Prob. 2TYCh. 4.7 - Prob. 3TYCh. 4.7 - Fill in the blanks in the following proof by...Ch. 4.7 - Is 10 an irrational numbre? Explain.Ch. 4.7 - Prob. 3ESCh. 4.7 - Use proof by contradiction to show that for every...Ch. 4.7 - Prob. 5ESCh. 4.7 - Prob. 6ESCh. 4.7 - Carefully formulate the negations of each of the...Ch. 4.7 - Fill in the blanks for the following proof that...Ch. 4.7 - a. When asked to prove that the difference of any...Ch. 4.7 - Let S be the statement: For all positive real...Ch. 4.7 - Let T be the statement: The sum of any two...Ch. 4.7 - Let R be the statement: The square root of any...Ch. 4.7 - Let S be the statement: The product of any...Ch. 4.7 - Let T be the statements: For every integer a, if...Ch. 4.7 - Do there exist integers a,b, and c such that a,b,...Ch. 4.7 - Prove each staement in 16-19 by contradiction. For...Ch. 4.7 - Prob. 17ESCh. 4.7 - Prove each statemtent in 16-19 by contradiction....Ch. 4.7 - Prove each statemet in 16-19 by contradiction. For...Ch. 4.7 - Fill in the blanks in the following proof by...Ch. 4.7 - Consider the statement “For everyinteger n, if n2...Ch. 4.7 - Consider the statement “For every real number r,...Ch. 4.7 - Prob. 23ESCh. 4.7 - Prove each of the statement in 23-24 in two ways:...Ch. 4.7 - Prob. 25ESCh. 4.7 - Use any method to prove the statements in 26-29....Ch. 4.7 - Use any method to prove the statements in 26-29....Ch. 4.7 - Use any method to prove the statements in 26-29....Ch. 4.7 - Prob. 29ESCh. 4.7 - Let n=53. Find an approximate value for n and...Ch. 4.7 - a. Prove by contraposition: For all positive...Ch. 4.7 - Prob. 32ESCh. 4.7 - The sieve of Eratosthenes, name after its...Ch. 4.7 - Prob. 34ESCh. 4.7 - Use proof by contradiction to show that every...Ch. 4.7 - Prob. 36ESCh. 4.8 - The ancient Greeks discovered that in a right...Ch. 4.8 - One way to prove that 2 is an irrational number is...Ch. 4.8 - One way to prove that there are infinitely many...Ch. 4.8 - Prob. 1ESCh. 4.8 - Prob. 2ESCh. 4.8 - Prob. 3ESCh. 4.8 - Prob. 4ESCh. 4.8 - Let S be the statement: The cube root of every...Ch. 4.8 - Prob. 6ESCh. 4.8 - Prob. 7ESCh. 4.8 - Prob. 8ESCh. 4.8 - Determine which statements in 6-16 are true and...Ch. 4.8 - Prob. 10ESCh. 4.8 - Determine which statements in 6-16 are true and...Ch. 4.8 - Determine which statements in 6-16 are true and...Ch. 4.8 - Determine which statements in 6-16 are true and...Ch. 4.8 - Prob. 14ESCh. 4.8 - Determine which statements in 6-16 are true and...Ch. 4.8 - Prob. 16ESCh. 4.8 - Prob. 17ESCh. 4.8 - a. Prove that for every integer a, if a3 is even...Ch. 4.8 - Use proof by contradiction to show that for any...Ch. 4.8 - Prob. 20ESCh. 4.8 - Prob. 21ESCh. 4.8 - Prove that 5 is irrational.Ch. 4.8 - Prob. 23ESCh. 4.8 - Prob. 24ESCh. 4.8 - Use the proof technique illustrated in exercise 24...Ch. 4.8 - Prob. 26ESCh. 4.8 - Prob. 27ESCh. 4.8 - Prob. 28ESCh. 4.8 - Suppose a is an integer and p is a prime number...Ch. 4.8 - Let p1,p2,p3,... be a list of all prime numbers in...Ch. 4.8 - Prob. 31ESCh. 4.8 - Prob. 32ESCh. 4.8 - Prove that if p1,p2...., and pn are distinct prime...Ch. 4.8 - Prob. 34ESCh. 4.8 - Prob. 35ESCh. 4.8 - Prob. 36ESCh. 4.8 - Prob. 37ESCh. 4.8 - Prob. 38ESCh. 4.9 - The toatl degree of a graph is defined as_____Ch. 4.9 - Prob. 2TYCh. 4.9 - In any graph the number of vertices of odd degree...Ch. 4.9 - Prob. 4TYCh. 4.9 - Prob. 5TYCh. 4.9 - Prob. 6TYCh. 4.9 - Prob. 1ESCh. 4.9 - Prob. 2ESCh. 4.9 - A graph has vertices of degrees 0,2,2,3, and 9....Ch. 4.9 - A graph has vertices of degrees ,1,1,4,4, and 6....Ch. 4.9 - In each of 5-13 either draw a graph with the...Ch. 4.9 - In each of 5-13 either draw a graph with the...Ch. 4.9 - In each of 5-13 either draw a graph with the...Ch. 4.9 - In each of 5-13 either draw a graph with the...Ch. 4.9 - In each of 5-13 either draw a graph with the...Ch. 4.9 - In each of 5-13 either draw a graph with the...Ch. 4.9 - In each of 5—13 either draw a graph with the...Ch. 4.9 - Prob. 12ESCh. 4.9 - Prob. 13ESCh. 4.9 - Prob. 14ESCh. 4.9 - A small social network contains three people who...Ch. 4.9 - a. In a group of 15 people, is it possible for...Ch. 4.9 - In a group of 25 people, is it possible for each...Ch. 4.9 - Is there a simple graph, each of whose vertices...Ch. 4.9 - Prob. 19ESCh. 4.9 - Draw K6, a complete graph on six vertices. Use the...Ch. 4.9 - In a simple graph, must every vertex have degree...Ch. 4.9 - Prob. 22ESCh. 4.9 - Recall that Km,n denotes a complete bipartite...Ch. 4.9 - A (general) bipartite graph G is a simple graph...Ch. 4.9 - Prob. 25ESCh. 4.10 - When an algorithm statement of the form x:=e is...Ch. 4.10 - Consider an algorithm statement of the following...Ch. 4.10 - Prob. 3TYCh. 4.10 - Prob. 4TYCh. 4.10 - Given a nonnegative integer a and a positive...Ch. 4.10 - Prob. 6TYCh. 4.10 - If r is a positive integer, then gcd (r,0)=_____Ch. 4.10 - Prob. 8TYCh. 4.10 - Prob. 9TYCh. 4.10 - Find the value of z when each of the algorithm...Ch. 4.10 - Prob. 2ESCh. 4.10 - Consider the following algorithm segment:...Ch. 4.10 - Prob. 4ESCh. 4.10 - Prob. 5ESCh. 4.10 - Prob. 6ESCh. 4.10 - Make a trace table to trace the action of...Ch. 4.10 - Prob. 8ESCh. 4.10 - Prob. 9ESCh. 4.10 - Prob. 10ESCh. 4.10 - Prob. 11ESCh. 4.10 - Prob. 12ESCh. 4.10 - Prob. 13ESCh. 4.10 - Use the Euclidean algorithm to hand-calculate the...Ch. 4.10 - Use the Euclidean algorithm to hand-calculate the...Ch. 4.10 - Use the Euclidean algorithm to hand-calculate the...Ch. 4.10 - Make a trace table to trace the action of...Ch. 4.10 - Make a trace table to trace the action of...Ch. 4.10 - Make a trace table to trace the action of...Ch. 4.10 - Prob. 20ESCh. 4.10 - Prob. 21ESCh. 4.10 - Prove that for all positive integers a and b, a|b...Ch. 4.10 - Prove that if a and b are integers, not both zero,...Ch. 4.10 - Prob. 24ESCh. 4.10 - Prob. 25ESCh. 4.10 - Prob. 26ESCh. 4.10 - An alternative to the Euclidean algorithm uses...Ch. 4.10 - Prob. 28ESCh. 4.10 - Prob. 29ESCh. 4.10 - Prob. 30ESCh. 4.10 - Exercises 28—32 refer to the following definition....Ch. 4.10 - Prob. 32ES
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- A linear programming computer package is needed. Hanson Inn is a 96-room hotel located near the airport and convention center in Louisville, Kentucky. When a convention or a special event is in town, Hanson increases its normal room rates and takes reservations based on a revenue management system. A large professional organization has scheduled its annual convention in Louisville for the first weekend in June. Hanson Inn agreed to make at least 50% of its rooms available for convention attendees at a special convention rate in order to be listed as a recommended hotel for the convention. Although the majority of attendees at the annual meeting typically request a Friday and Saturday two-night package, some attendees may select a Friday night only or a Saturday night only reservation. Customers not attending the convention may also request a Friday and Saturday two-night package, or make a Friday night only or Saturday night only reservation. Thus, six types of reservations are…arrow_forwardexam review please help!arrow_forwardIn a network with 12 links, one of the links has failed. The failed link is randomlylocated. An electrical engineer tests the links one by one until the failed link is found.a. What is the probability that the engineer will find the failed link in the first test?b. What is the probability that the engineer will find the failed link in five tests?Note: You should assume that for Part b, the five tests are done consecutively.arrow_forward
- A linear programming computer package is needed. Epsilon Airlines services predominately the eastern and southeastern United States. A vast majority of Epsilon's customers make reservations through Epsilon's website, but a small percentage of customers make reservations via phone. Epsilon employs call-center personnel to handle these reservations along with any problems with the website reservation system and for the rebooking of flights for customers if their plans change or their travel is disrupted. Staffing the call center appropriately is a challenge for Epsilon's management team. Having too many employees on hand is a waste of money, but having too few results in very poor customer service and the potential loss of customers. Epsilon analysts have estimated the minimum number of call-center employees needed by day of week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are given in the following table. Day Minimum Number of…arrow_forwardind Original: 100-200 = 20,000 200400=20,000 80 602=3600 694761 =4 4x1.3225-6.29 4761/3600 = 1-3225 5.29-1058msy 6). The dose to the body was 200 mSv. Find the dose to the lung in mrem? W 200ms 20 2.15 and 8) A technique of 20 mAs, 40 kV produces a f4 Sy Find the dose to the Thyroid inarrow_forwardoriginal ssD 400x (100) 2 400 x (14)=100 34 10or (2)² = 100 × (0-85) = 100 x = 72.25 100x 40 72.25 =36.13 500 36.13 13.84 O. 7225 12x13.84≈ 166.08mAs 10) The dose of a radiograph was 100 mSv with a technique of: 10 mAs, 180 kV at 200 cm and tabletop. If the technique is changed to: 20 mAs, 153 kV at 100 cm using a 5:1 grid then find the new dose in rem to the Lungs. 11) A radiographic technique produces an exposure index of EI= 300 and TEI=600 at a source- to-image receptor distance (SID) of 200 cm, 100 kV, 5:1 grid using 10 mAs. If the technique is changed to 100 cm and 85 kV and 5 mAs with table top find the new exposure index? What is the value of DI? 10arrow_forward
- exam review please help!arrow_forward0. 75 and 34 KV arved fromise to 75 halfed NAME Genesis Ward 0 mAs is 40 #2). A technique involves 150 mAs, 40 kV and produces an intensity of 2 R. are gone down KV C15%! In = 200% Find the new intensity in mGya, using 300 mAs and 46 kV? =100 206a 150mAS 40KV 2R kv 150 is so divide 00 mA, 200 alue of 100. Boomts 46KY 4). A technique is taken with 100 mA, 200 ms, 60 kV and produces 200 mSv.arrow_forwardFi is 2 O 2 ms, #3). A technique is taken with 100 mA, 200 60 kV and produces an EI value of 100. Find the EI value when this technique is changed to 200 mA, 100 ms, 69 kV? 4) m 2arrow_forward
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