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Discrete Math

Finite Mathematics - 20 Review Questions

Please see the attachment. Problems 1-3 (also attached): Acme Inc. has just purchased new computers for $60,000. Suppose that in 8 years the computers will have a salvage value of $8,000. The college plans to depreciate the value of the computers linearly over the 8 years. 1. Based on the above information, value

Bijections, Denumerability, Tautologies, Sets, Logic and Proofs (7 Problems)

Consider the compound statement (P ^ Q) V (~ P ^ R) a) Find the truth table for the statement. b) IS the statement a tautology? c) In the following program code, what has to be the output for the answr to be "yes"? ... 2. Given the following sets A = {1.2,3.4}, B = {2,3,4,5}, and C= {2,4,6} a) Find .... 4. Prove that

Venn Diagram and Intersection Proof

Draw Venn diagrams for each side of the equation below, shading the appropriate region. Then give a careful proof using the element method (A-C)∩(B-C) = (A∩B) - C Please see the attached file for the fully formatted problem.

Logic and Logistics : Crossing a Desert and Supply Chain

This is a workbook example called crossing a desert. Suppose you and your truck are all set to leave the town of Ucnestahn on the edge of Ucnahara desert. you want to travel across the desert as quickly as possible. You have calculated that all the provisions you need for one day's travel (food, fuel, lager, chewing gum, 'w

Abelian groups

Let G ---> H be a group homomorphism and... Show that if... then Φ[G] is albelian. Please see attached for full question.

BUSINESS STATISTICS/FINITE MATH

*1.In a multiple regression model, the value of the coefficient of multiple determination a. has to fall between -1 and +1. b. has to fall between 0 and +1. c. has to fall between -1 and 0. d. can fall between any pair of real numbers. *2.A medical doctor is involved in a $1 million malpractice suit. He can either settl

Business Statistic and Finite Math

1.If a categorical independent variable contains 2 categories, then _________ dummy variable(s) will be needed to uniquely represent these categories. a. 1 b. 2 c. 3 d. 4 2. A dummy variable is used as an independent variable in a regression model when a. the variable involved is numerical. b. the variable involved is

Finite math/business analysis- Multiple choice questions on statistics

1.A recent survey of frozen convenience meals found a correlation of r = 0.768 between calories and fat content in the sampled meals. Which of the following is the most appropriate conclusion from this survey about the relationship between calories and fat content? a. Higher fat content in the sampled meals resulted in a h

Venn Diagram From a Table

The Wilcox fam is considering buying a dog. They have established several criteria for the family dog; It must be one of the breeds listed in the table, must not shed, must be less than 16 in tall, and must be good with children. a.) Using the information in the table, construct a Venn diagram in which the universal set is

Game Theory Problem

Rose and Cathy decide to play a matrix game. Each has two options, conveniently called W and L. If both pick W, Cathy pays Rose $4; if both pick L, Cathy pays Rose $2; if Rose chooses L and Cathy chooses W, Cathy pays $1 to Rose; and finally, if Rose chooses W and Cathy chooses L, Rose pays Cathy $1. The payoff matrix for Rose

Logic : Sets

Find A U B where A= {x | x is an even integer greater than 3} B = {x | x is an odd integer greater than 10}

Method incorporating the duality

Minimize C = 4x1 + 2x2 Subject to the constraints x1 + 2x2 >4 x1 + 4x2 >6 x1 >0, x2 >0 Use the method incorporating the duality.

Logic problem

Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value for the following: p^(~q) p^q^r p^(qVr) ~(p^q) (~p)V(~q)

Flow Augmenting Path Algorithm, Bipartite Graph and Cardinality

1. Find the maximum flow and the associated minimum capacity cut for the following network, by using flow augmenting path algorithm (in the order of "first labeled, first scannred"). *see attachment for diagram* 2. A maximum capacity flow augmenting path is an augmenting path such that we can increase the flow of the network

Translation of Math Symbols to English, Logic, Predicate Logic and Simplification

Question 1. Translate each of the following statements into the notation of logic and predicate logic and simplify the negations of all. Which statements do you think are true? (i) Some questions are easy. (ii) Any integer with an even square is even. (iii) All students cannot correctly answer some questions in this assignm

Limit Points (Continuous Map)

Let f: X --> Y be a continuous map. Let A (SYMBOL) C. Show that, if (FUNCTION1) is closed, then (FUNCTION2). *(For complete problem, including proper citation of functions and symbols, please see attachment)

Drawing a Venn Diagram

Use the information provided: U={1,5,10,15,20,25,30} A={1,10,15} B={1,10,20,25} C={5,15,30} and use a venn diagram to determine wheather (A U B') U C= (A' U B) U C' for all sets A, B, and C. Show your work.

Venn Diagram

The Action Sports Network surveyed 265 of its viewers to determine which sports they watched most often. The results of the survey showed: 140 viewers watched football 130 viewers watched baseball 120 viewers watched hockey 60 viewers watched football and baseball 55 viewers watched baseball and hockey 50 viewers watche

Principal Value Proof

Prove that if all of the powers invoved are principal values then... Please see the attached file for the fully formatted problems.

Exponential Proof

Show that z^(1/n) = exp((1/n)log z) also holds when n is a negative integer.... Please see the attached file for the fully formatted problems.

FINITE MATH

SHOW HOW TO SOLVE PROBLEM Consider the normal distributions drawn below (with different scales) AREA=.9 AREA=.9 ******--**** ******--****

Chinese Remainder Theorem : Proof and Problems

I would appreciate it if someone could provide the solutions to QB5 of the attatched exam paper. Please see the attached file for the fully formatted problems. B5. (a) (1) State and prove the Chinese Remainder Theorem. (ii) Find the 2 smallest positive integer solutions of the simultaneous set of congruence equations: 2x