A survey of 100 students at New England College showed the following:45 take English.47 take history.39 take language.13 take English and history.15 take English and language.18 take history and language.7 take all three.How many students do the following? (See Example 6.)(a) Take history but neither of the other two?X students(b) Take English and history but not language?X students(c) Take none of the three?X students(d) Take just one of the three?X students(e) Take exactly two of the three?X students(f) Do not take language?X students

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Answered: A survey of 100 students at New England…

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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If n(B) = 24, n(A ∩ B) =5, and n(A ∪ B) = 42, find n(A). 24 23 25 21
Consider a family with a mother, father, and two children. Let A1 = {mother has influenza}, A2 = {father has influenza}, A3 = {first child has influenza}, A4 = {second child has influenza}, B = {at least one child has influenza}, C = {at least one parent has influenza}, and D = {at least one person in the family has influenza}.1 What does A1 ∪ A2 mean? 2 What does A1 ∩ A2 mean? 3 Are A3 and A4 mutually exclusive? 4 What does A3 ∪ B mean? 5 What does A3 ∩ B mean? 6 Express C in terms of A1, A2, A3, and A4. 7 Express D in terms of B and C. 8 What does ?̅1 mean? 9 What does ?̅2 mean?
17, 18
A survey of 67 people in Kansas City gave the following results: 20 were fans of the Kansas City chiefs 37 were fans of the Kansas City Royals 39 were fans of the Sporting Kansas City 16 were fans of the Chiefs and Royals 8 were fans of the Chiefs and Sporting KC 21 were fans of the Royals and Sporting KC 9 were fans of none of the teams How many people were fans of the Chiefs or Royals but not Sporting KC?
A bag contains five red marbles, three green ones, one lavender one, three yellows, and two orange marbles. HINT [See Example 7.] How many sets of four marbles include none of the red ones?
A canteen offers choices of appetizers, 8 5 choices of 4 choices of main meals and desserts. A customer can choose to eat just one course or two different courses or all three different courses. Assumig all choices are available how many different possible meals does the restaurant offer? A. 160 B. 269 C. 252: D. 17. E. None of the above.
One question from a survey was "How many credit cards do you currently have?" The results of the survey are provided. Complete parts (a) through (g) below.
a. Find p (2), p (3), and p (6).Interpret your answers. b. Find p (4) – p (2). Interpret your answer. [Hint: See Quick Example 1.]

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