Explanation Given information: Courses, 10% students taking mathematics and history course both, 20% were taking neither mathematics and nor history. 160 students had not a history course, but were taking mathematics, And 120 students had not a mathematics course, but were taking a history course. Calculation: Let, a be the total number of students, n ( U ) = a . Let, M = { Students who taking mathematics } , H = { Students who taking history } , Consider the provided data, 10% were taking both types of courses, ( M ∩ H ) = 10 % . So, 10% of total students a is, ( M ∩ H ) = 10 ⋅ a 100 = 0.1 a 20% were taking neither type of courses, n ( ( M ∩ H ) ′ ) = 20 % . So, 20% of total students a is, n ( ( M ∩ H ) ′ ) = 20 ⋅ a 100 = 0

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134437767

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

See similar textbooks

Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Videos

Question

Chapter 5.3, Problem 72E

To determine

To calculate: The total number of students, who were taking a mathematics course, if students were asked to each other about their enrollment in mathematics and history courses, and they are living in a certain dormitory.

10% students taking mathematics and history course both, 20% were taking neither mathematics and nor history.

160 students had not a history course, but were taking mathematics, and 120 students had not a mathematics course, but were taking a history course.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.3, Problem 71E

Chapter 5.4, Problem 1CYU

Students have asked these similar questions

12:25 AM Sun Dec 22 uestion 6- Week 8: QuX Assume that a company X + → C ezto.mheducation.com Week 8: Quiz i Saved 6 4 points Help Save & Exit Submit Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The machine will lower operating costs by $17,000 per year. The company's required rate of return is 15%. The net present value of this investment is closest to: Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided. 00:33:45 Multiple Choice О $6,984. $11,859. $22,919. ○ $9,469, Mc Graw Hill 2 100-

No chatgpt pls will upvote

7. [10 marks] Let G = (V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a cycle in G on which x, y, and z all lie. (a) First prove that there are two internally disjoint xy-paths Po and P₁. (b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that there are three paths Qo, Q1, and Q2 such that: ⚫each Qi starts at z; • each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are distinct; the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex 2) and are disjoint from the paths Po and P₁ (except at the end vertices wo, W1, and w₂). (c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and z all lie. (To do this, notice that two of the w; must be on the same Pj.)

Chapter 5 Solutions

Finite Mathematics & Its Applications (12th Edition)

Ch. 5.1 - Solutions can be found following the section...Ch. 5.1 - Solutions can be found following the section...Ch. 5.1 - Solutions can be found following the section...Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

Solution Summary: The author calculates the total number of students, who were taking a mathematics course, if students were asked to each other about their enrollment in mathematics and history courses.

Concept explainers

Videos

Want to see the full answer?

Chapter 5 Solutions