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Discrete Math

Sub Algorithms Base Values

? Write a sub-algorithm (subroutine) that given a number N in base 10 and a base value Base between 2 and 10 (inclusive), returns the representation of the decimal value N in the desired Base. For example, given N = 25, and Base = 2, it should return 11001. Algorithm: Base_10_to_Any_Base 1.0 Given: 1.1 an inte

Economic analysis

See attached Ken Chang, a production analyst for SharpEase Company, has prepared the following information for the production of a new electric pencil sharpener. Prepare an assembly chart for the product. Component List for Model D-41 Sharpener Component Description Component Code Predecessor Component Code (

Relations Partial Ordering

Qu1) Is it true that ρ(AUB)= ρ(A) U ρ(B)? justify your answer. Qu2) Consider the function f:A→A defined by f(x)=x+1 and justify your answers. a) For A=ν (integers) is f onto? b) For A=R(real number) is f injective? c) For A=Q (rationals) is f onto? d) For A=Z(all integers) is f a bijection? Q3) a) Let f : R→R

Finite Math

Show all work and any explanations so that I will understand how to work the problems. See attached... Math 212 Finite Mathematics Show all work and any explanations: 1) An unprepared student takes a three-question, true/false quiz in which he guesses the answers to all three questions, so each answer is equal

Prove that every ideal of F[x], where F is any field, is principal

An ideal I of a commutative ring R is said to be principal if it is generated by a single element, that is, if I is of the form {ra|r element of R} for some fixed a element of R. Notice that Corollary 6.6 (below) shows that ideals of F[x] of the form I_F,a are principal. Now prove that every ideal of F[x], where F is any fi

Venn Diagram and Region Explanations

Here is the information. There are A, B and C circles . Going from left to right , Cicle A , then B and C at the bottom. They all are intersecting . Roman numeral I is in circle A , Roman Numeral III is in circle B, and Roman numeral VII is in circle c. Roman numeral IV, V, VI are also a part of C, B, AND A. Roman numeral I

Venn Diagram for College Courses

Please use a truth table for this one q arrow to p p arrow to r ________________ . . . r arrow to q Use a Venn diagram for this one. A survey of 118 college students was due to find out what electives courses they were taking. Let A= set of those taking art, B = set of those taking basketweaving, and C = t

DeMorgan Law and converse statements

Write the negation of the conditional statement. 1. If I am in Seoul, then I am in Korea. 2. Write the nonequivalent converse and inverse of the statement. If you are getting a haircut , then you are not studying 3. Use the De Morgan law that states : ~( p ^ q) is equivalent to ~p v ~q 4. to write an eq

Mathematics - Binomial and Poisson probabilities

Objective: Calculate binomial and Poisson probabilities. 1) Chapter 5: Problem 5.5 (binomial) Solve the following problems by using the binomial formula. a. If n = 4 and p = .10 , find P(x = 3) . b. If n = 7 and p = .80 , find P(x = 4) . c. If n = 10 and p = .60 , find P(x ≥ 7) . d. If n = 12 and p = .45

Venn Diagram

Solve this problem using a Venn diagram. please submit the diagram Thanks. In a survey of 280 people , a travel company asked people about places they plan to visit in the next five years . The results were as follows: 48 plan to visit Europe 58 plan to visit Latin America 34 plan to visit Asia 14 plan to visi

Logic Problem: Tents to Trees

Please see the attached file. The grid below represents a campground where a number of people are camping. Every tree has exactly one tent tied to it in a horizontally or vertically adjacent cell. The numbers along the edges of the grid indicate the number of tents located in that row or column. In addition, no tent is adjac

Convert Compound Statement

Convert the symbolic compound statement into words. 1. p represents the statement "Her name is Lisa." q represents the statement "She lives in Chicago." Translate the following compound statement into words: ~p 2. p represents the statement" Her name is Lisa" q represents the statement " She lives in Chicag

Sets and Venn diagrams..

Let U = { all soda pops}, Let A ={ all diet soda pops} B={ all cola soda pops}, C= { all soda cola pops in cans}, D = all caffeine -free soda pops}. Describe the sets in words. a.(A intersect B) intersect C' b. (A u D) intersect C' c.(A' intersect B')u C d. (A-D) intersect B e. (B intersect C') u (C intersect B

Sets and Venn Diagrams: Example Problems

For the given set, construct a Venn diagram and place the proper element in the proper region. 1. U ={a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p} A={a, e, i, o,} B={b, c, d, f, g, h, j, k, l, m} C= {a,b, c, d, e, f,g} 2. Please answer all question in words. Let U = { all soda pops}, A= { all diet soda

1. Mrs Bollo's second grade class of thirty student conducted a pet ownership survey . Results of the survey indicate that eight students own a cat, 15 students own a dog, and 5 students ...

1. Mrs Bollo's second grade class of thirty student conducted a pet ownership survey . Results of the survey indicate that eight students own a cat, 15 students own a dog, and 5 students own both a cat and a dog, How many of the students surveyed own only a cat? 2. Please use a venn diagram to answer the questions? At east

Critical thinking logic problem

Consider the following six" postulates" Art, Bev, Cheryl , Dot and Ed all attend the same college where one is a freshman, one is a sophomore, one is a junior, one is a senior and one is a graduate student. - Art, Bev, and Cheryl have not yet completed . - Bev is one year ahead of Ed - Ed is not a freshman - Art is in a hi

Finite proof

Let R ba a partial order on S, and suppose that x is a unique minimal element in S. a) prove that S is finite, then xRy for all s in S b) show that the conclusion in (a) need not be true if S is infinite

Sturm-Liouville Proof Equation

Could you please do the problem attached? Thank you. The equation...is a Sturm-Liouville equation in which the operator L...

Mathematical Logic of Affirmative Policies

Translate the following argument in symbolic form and determine whether it's logically correct by constructing a truth table. If affirmative action policies are adopted, then minorities will be hired. If minorities get hired, then discrimination will be addressed. Therefore, if affirmative action policies are adopted, then d

Finite Math

Attached is a study guide for my final exam in Finite Math. I need help with these questions. Thanks, Perform the indicated operations. Give the answer in lowest terms. 1) x/x^2 -16 - 6/x^2+5x+4 A )x^2-5x+24/(x-4)(x+4) B) x^2-5x+24/(x-4)(x+4)(x+1) C) x^2+5x+24/(x-4)(x+4)(x+1) D) x^2-5/(x-4)(x+4)(x+1) Perfor

Big-O Big-Theta

Given the algorithm below, suppose the number of times the "beep" instruction is executed is f(n). Choose all true statements below, and no false ones... for i := 1 to n for j : = 1 to i for k := 1 to 18 BEEP next k next j next i a. f(n) is big-Theta (n^2) b. f(

Game Theory: Perspective and Transformational Matrices

See attached. 1. in the diagram below, an arrow object is located at point C; P is an arbitrary point in space. a) How would you generate a transformation matrix that would point the arrow object at point P? The arrow object is defined in a Left Handed System with the following

Word Problemson basic statistics and finite math

1. A large aquarium at an exhibit is 20 ft long, 10 ft wide, and 6 ft high. What is its volume of the aquarium? 2. Evaluate the following : 33 lb/ft x 6.5 ft 3. One side of an equilateral triangle is 5/8 in. What is the perimeter of the triangle? 4. What is the perimeter of a semi-circle (half of a circle) wit

A Family of Sets and the Empty Set

Let A be a family of sets, and suppose the empty set is an element of A. Prove that a = the empty set if a is an element of the family of A. See the attached file.

Logic - Truth Tables, DeMorgan's Laws.

1) Construct a truth table and determine the truth value of the statement ~ q = { ~r ^ ( p v q) }, when p is false, q is true and r is true. 2) Use De Morgan's Laws to determine whether the two statements are equivalent. ~( p ^ q), ~(q v ~p) 3) Determine which, if any of the three statements are equivalent.