2. A curious diner was observing her fellow customers. She noticed that, of the 27 customersshe was watching, 14 people ordered a dish containing potatoes, 13 people ordered a dishcontaining tomatoes, 6 people did not order water with their meal, 12 people orderedpotatoes and water, 3 people ordered tomatoes and no water, 6 people ordered potatoesand tomatoes, and 25 people ordered potatoes or tomatoes or water.(a) Draw, and fully label, a Venn diagram representing the given information.(b) How many people ordered potatoes and tomatoes and water?(c) How many people ordered potatoes and water but not tomatoes?

Answered: Image /qna-images/answer/7f93c9ff-5a10-4c53-b4c3-f2949bb21ab9.jpg

Answered: 2. A curious diner was observing her…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. In the graph below, determine whether the following walks are trails, paths, closed walks, circuits, simple circuits, or just walks. b. vzvzV4V5 V2 c. VaVzV3 V4 V5 V2V4 e. VgUsU2V3 V4 V2U1 eg es
Indicate which of the following variables are discrete. 1)Number of persons in a family. 2) Monthly TV cable bills. 3)Lottery revenues of states. 4)Number of wheels of a car. 5) Monthly spendings of a family.
You'd like to study social networks. Consider the following 26 people {A,B,C,...,X,Y,Z} in a social network graph. (These people can be thought of as "nodes" or points drawn on a piece of paper.) Here, we'd like to model "followers." How many different ways can we draw arrows between two people from these 26? Here, "A-->B" (A is a follower of B) is not the same as "B-->A" (B is a follower of A). Order matters here.
3. The following example involves selecting a marble (yellow, and red) from one jar, and a cube from another jar (yellow, red, green, or blue). Draw a tree diagram using the information. Yellow (Y), red (R), Green (G) and blue (B). a. Find P(YR) b. Find P(at least one yellow) c. Find P(both being the same color)
Construct a Venn diagram to answer the question. Doctor X and Doctor Y have 24 patients. 12 patients have fever, 6 patients have colds, 15 patients have headache. 1 patient has all three sicknesses. 2 patients have fever and colds, but no headache. 2 patients have colds and headache, but no fever. If all the patients of Doctor X and Doctor Y have at least one of the mentioned sickness, how many patients have fever and headache, but no colds?
5) A survey was conducted to see what genre of movies students enjoy watching. 56% watched comedies 55% watched action movies 38% watched dramas 30% watched comedies & action movies 19% watched comedies & dramas 18% watched action movies & dramas 16% watched all three movie genres a) Create a Venn Diagram to represent the genres students enjoy watching. b) What percentage of students only enjoyed watching action movies? b) If 1500 students were surveyed, how many said that they did not enjoy watching any of the three genres?
Problem 3. A graph is a way of representing the relationships between elements in a set: an edge between the vertices x and y tells us that x is related to y (which we can write as x~y). Not all sorts of relationships can be represented by a graph though. For each relationship described below, either draw the graph or explain why the relationship cannot be represented by a graph. a. The set V={1,2,...,9) and the relationship x~y when x-y is a non-zero multiple of 3. b. The set V=(1,2,...,9) and the relationship x~y when y is a multiple of x. c. The set V={1,2,...,9) and the relationship x~y when 0<|x-y|<3.
Let G=(V,E) with V={a,b,c,d}. For which sets E is G a graph as per definition of the lecture? O E={(a,b),(b,a),(a,c)} O E={a,b} O E={{b,d}} E={{a,a},{b,c},{d,c}}

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