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Discrete Math

Truth tables and logic

1. Construct a truth table for p → ~q 2. Construct a truth table for (~p V q) ↔ q 3. Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols. It is not the case that Jim does not play football or Michael does not play bask

Logic and truth values

1. p: Tanisha owns a convertible q: Joan owns a Volvo Translate each statement into symbols. Then construct a truth table for each and indicate under what conditions the compound statement is true. Tanisha does not own a convertible but Joan owns a Volvo. 2. Determine whether the argument is valid or invalid. You may

I am having trouble with Venn Diagrams

I need help figuring out this concept of math: 1. Construct a Venn Diagram and answer the following questions. In a survey of four year college students and universities it was found that 356 offered a liberal arts degree. 293 offered a computer engineering degree. 285 offered a nursing degree. 193 offered a liberal arts

The Wildlife Federation Survey with Venn Diagrams

Construct a Venn diagram and answer the following questions: i. How many had only a zoo membership? ii. How many had only an aquarium membership? iii. How many belonged to either one or the other or both? iv. How many belonged to neither?

Coordinates of Image Point Origins

1. For the point (2, 0), find the coordinates of the image point under a half-turn about the origin. 2. The midterm test scores for the seventh-period typing class are shown below on a line plot. [Please refer to the attachment for the line-plot]. What is the largest gap in scores, not including gaps between outliers? 3. C

Cryptography: Deciphering Code Example

p = 10223 q = 13397 N = 136957531 e =7 How I can decipher this code: (clue is a song title) and how I can crack the code? 66943511 51866884 134861932 107542473 109249650 28068953 134861932 113699335 109249650

BCD format

Show all your work . 1) Perform the following operation using the BCD format. a. 45 * 28 2) Perform the following operations using the two's complementary representation using 8 bit numbers. a. 14 - 65 b. 125 + 13 3) Perform the following operations using the 8-digit, excess-50 floating-point notation. Use 0 to repre

Sunburn logic

If you are fair-skinned, you will sunburn. If you sunburn, you will not go to the dance. If you do not go to the dance, your parents will want to know why you didn't go to the dance. Your parents do not want to know why you didn't go to the dance. Therefore, you are not fair-skinned.

Newton's method of finding roots

I need code to the Newton's method of finding roots of equation F(x)=x^2 -3. Please. See the attached file. Please provide only minimal script with all the inputs hard-coded and all the outputs to Command Window.

Finite Mathematics Present Value

5 Mathematics of Finance 10. Find the amount of interst earned by each deposit $3954 at 8% compounded annually for 12 years. 20. Find the present value of each amount. Write the first four terms of the geometric sequence with a= 4 and r =1/2 28. Find the future value of each annuity. $500 depoisited at the end of e

Finite Math

Chapter 8 Counting Principles; Further Probability Topics 14. a basket contains 4 black, 2 blue and 5 green balls. A sample of 3 balls is drawn. Find the probabilities taht the sample contains the following: 2 black balls and 1 green ball 18. Suppose a family plans 6 children and the probability that a particular chil

Basic amortization/present value

Find the payment necessary to amortize a 8% loan of $2400 compounded quarterly, with 12 quarterly payments. Find the present value of an ordinary annuity which has payments of $1800 per year for 14 years at 8% compounded annually.

Finite Mathematics: Interes, Foture values, Sinking Funds and Amortization.

20 MC Questions on mathematics of Finance. Example: 1. Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent. $18,350 for 119 days; money earns 3.3% A) $195.32 B) $18,156.30 C) $17,763.79 D) $18,154.68 2. Find the sum of the first five terms of the geometric sequence. a

Independent events probability

Please answer the attached questions. Assuming that boy and girl babies are equally likely,fill in the remaining probabilities on the tree diagram and use the following information to find the probability that a family with three children has all girls, given the following. The diagram is attached.

Applications & Venn Diagrams

Please answer the following questions and show all work in steps. Use the union rule to answer the following questions Suppose n(A ∩ B)= 5, n(A ∩ B ) = 35 n(A) =13 What is n(B)? Union rule for sets n(A ∩ B) = n(A) + n(B) - n(A ∩ B)

Finite math problems

Please show your work in steps. Thank you! 32. Is it possible for two nonempty sets to have the same intersection and union? If so, give an example Let U = {2,3,4,5,7,9}; X= {2,3,4,5}; Y={3,5,7,9}; and Z= {2,5,4,7,9}. List the members of each set using set brackets. 42. a. In Example 6, what set do you get when you

Ordinal Subtraction Defined by Recursion

Please see the attached problem. I have attached some notes in case these are needed. ----------------------------------------------------------------------------- Proposition 2.7.9: For any pair of ordinals alpha and beta such that alpha <= beta, there is a unique ordinal gamma such that alpha + gamma = beta, so we can wr

Logic Problems Statements

1. Write the statement in symbolic form and construct a truth table. The zoo is open, but it is not a nice day. 2. Use DeMorgan's laws to determine whether the two statements are equivalent. ? (p V ?q), ?p ^ q 3. Determine the truth value of a statement. 15-7=22 or 4+8=13, and 9-8=1

Set Theory: Union and Complement

Given U = {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}, A = {16, 18, 20, 22}, and B = {17, 19, 20, 23, 24}. Find A&#8242; B&#8242;. Do not skip to the answer. Show your work, finding A', then B' then find their union.

Logic Math Solutions

Please help me find the solutions for each of the problems below and attached. Logic: Using a truth table to prove that A*(B+C) =A*B + A*C Consider the * operator to be the equivalent of _____ and the + operator to be equivalent to ___. State the number of distinct variables____ State the number of operations_____

Help with understanding the concept of sets

Example of Sets in applicable areas such as (market research, politics, medicine, etc.). For example, a college student may be in a particular category in a set depending on degree program: Degree = {Associate, Bachelor, Master, Ph.D.} and then a second related set might be the listing of the majors: Major = {Accounting, English

Finite Math and Sets

1.For the given sets, answer the following questions A={1, 2, 3, 4} B={1, 2, 5, 7} C={3, 4, 5, 7} A.B U C B.A' C.A U C(wasn't able to upside down the U) D.A U(rotate the U) A' e.A U (rotate the U) B

Math Problem on Ending Balance, Interest and Pay Out

If I have a 10,000 death benefit at work that is left on deposit for 7 years at an annual interest rate of 5%. The balance after 7 years is what? and then is going to be paid out in 120 equal payments. During the payout period, interest is credited at an annual interest rate of 3%. Would the payouts continue to be the same? 1

Discrete Mathematics: Relationship Between Graphs and Trees

Describe the relationship between graphs and trees and then discuss why trees are a subset of graphs. How can a tree be used to outline a data type? Remember that the data type student has attributes such as first name, last name, student number, and registered courses. Would a graph be a better construct than a tree for des

Arguments: Determine whether the arguments are valid by means of Venn diagrams. Write the truth functional form of the argument. Use the truth-table method/short truth-table method to determine if the argument is valid. Using the method of deduction, determine the argument's validity.

These are the 3 questions I need help with. I do not understand this. Please show all work in detail so that I understand this thing as this will help me in understanding the concepts. ---------------------------------------------------------------- 1. Determine whether the arguments are valid by means of Venn diagrams.

Write the negation for the statement

By Day 6, complete and submit your answers to the W3: Assignment 3 Dropbox. Here are symbols you may need:      U ∩  [ ] COPY AND PASTE! 1. (2 pts) Write the negation for the statement below. Someone in the family makes bread. 2. (2 pts) Let p, q, and r be the following statements:

Finite Mathematics - MATH 205 CheckPoint Assignment

INSTRUCTIONS: This is your checkpoint assignment for week 5. Each question is worth DIFFERENT POINTS AND SHOULD ALL TOTAL 30 points. Some questions will have subparts (a, b, c, etc.), these questions will be worth more points, so you should answer all subparts correctly to receive full credit. As specified in your syllabus,

Fuzzy logic and truth values

Truth Values that are between 0 and 1 indicate varying degrees of truth. For instance, the truth value 0.8 can be assigned to the statement "Bob is happy," because Bob is happy most of the time, and the truth value 0.4 can be assigned to the statement "Max is happy, "because Max is happy slightly less than half the time. Th