The 65 students in a classical music lecture class were polled, with the results that 37 like Wolfgang Amadeus Mozart, 37 like Ludwig von Beethoven, 30 like Franz Joseph Haydn, 15 like Mozart andBeethoven, 21 like Mozart and Haydn, 14 like Beethoven and Haydn, and 9 like all three composers. Use a Venn diagram to complete parts (a) through (f) below.Complete the Venn diagram. Let M be the set of students that like Mozart, B be the set of students that like Beethoven, and H be the set of students that like Haydn.US=IIU=V=W =X=y=Z=SMWtVyHBXuZ

Given: The total number of students in a classical music lecture that were polled is 65. Number of…

Answered: The 65 students in a classical music…

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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In a survey of 230 professional athletes, it was found that 117 of them owned a convertible, 105 of them owned a giant screen TV, and 88 owned a sporting goods store. 17 owned a convertible and a store, 34 owned a TV and a store, and 56 owned a covertible and a TV. 8 owned all three items. You must create the Venn Diagram, save it as a pdf and attach your work. How many athletes did not own any of the three items? How many owned a covertible and a TV, but not a store? How many athletes owned a convertible or a TV? How many athletes owned exactly one type of item in the survey? How many athletes owned at least one type of item in the survey? How many owned a TV or a store, but not a convertible?
A sample of forty people was asked what type of fruit they had eaten the previous day. Four people answered apples only, fifteen people answered oranges and twelve people answered strawberries. Six people ate strawberries only. Eight people answered apples and oranges only. Three people answered oranges and strawberries. Two people ate all three types of fruit. Use a Venn Diagram to answer these questions after reading. a. How many people ate apples? _________ b. How many people ate at least two of these fruits that day? _________
A large bakery has many different products for sale. Suppose that 200 come in between 6am and 10am. Of the 200 customers 140 order donuts, 100 order cinnamon rolls, and 80 order both. Make a Venn Diagram to model the situation.
How many of these students like Haydn and exactly one of the other two?
In a survey of 200 1st year students of UP, 9 liked classical music, rock music, and light opera; 27 liked classical music and rock music; 33 liked rock music and light opera; 30 liked classical music and light opera; 72 liked classical music; 80 liked rock music; 93 liked light opera.a. Construct a Venn diagram Representation to organize the given data.b. How many liked rock music only? c. How many liked rock and classical but not light opera?d. How many liked classical and light opera but not rock music?e. How many liked rock or light opera?f. How many liked at least one type of music?g. How many liked at least two types of music
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?
A survey of 300 adults found that during the last year, 82 purchased apples but not strawberries, 91 purchased oranges but not apples, 50 purchased strawberries but not apples or oranges, 32 purchased strawberries and oranges, 22 purchased all three, and 178 purchased strawberries or apples. Fill out a Venn diagram and determine how many of the adults surveyed did not purchase any of the three fruits.

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