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C. Draw a Venn Diagram showing the number of students in each of the eight sections of the Venn Diagram? R D. How many students enjoy: B S כן

C. Draw a Venn Diagram showing the number of students in each of the eight sections of the Venn Diagram? R D. How many students enjoy: B S כן

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 2CC
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6.1 and 6.2
C. Draw a Venn Diagram showing the number of students in each of the eight sections of the Venn Diagram? R D. How many students enjoy: 1. Only biking? B 2. Biking or swimming, but not running? Show me how you determined your answer. For example: 15 + 10-5 = 20 3. Biking and swimming, but not running? S U
Transcribed Image Text:C. Draw a Venn Diagram showing the number of students in each of the eight sections of the Venn Diagram? R D. How many students enjoy: 1. Only biking? B 2. Biking or swimming, but not running? Show me how you determined your answer. For example: 15 + 10-5 = 20 3. Biking and swimming, but not running? S U
A survey of 220 college students reveals that 100 students enjoy running, 70 students enjoy biking and 100 students enjoy swimming. Twenty-five students enjoy both running and biking, 50 students enjoy both running and swimming, and 30 students enjoy both biking and swimming. Forty-five students do not enjoy any of these exercises. Let R be the set of students that enjoy running. Let S be the set of students that enjoy swimming. Let B be the set of students that enjoy biking. n(AU BUC) = n(A) + n(B) + n(C) - n(AB) - n(AC) - n(BC) + n(ABC) A. Provide the following. n(U) = ; n(RUBUS) = ; n(R) = ; n(S): n(B) = _;n(RS) = ; n(RB) = __; n(SB) = B. The following requires some works; for example, provide the formula, such as the one provided above, although you need to modify it to reflect the sets you are using (R, S, B): 1. How many students enjoy at least one of the three activities? What notation represents this statement (e.g., n(R~ B))? ¸ 2. How many students enjoy all three activities? What notation represents this statement (e.g., n(RB))?
Transcribed Image Text:A survey of 220 college students reveals that 100 students enjoy running, 70 students enjoy biking and 100 students enjoy swimming. Twenty-five students enjoy both running and biking, 50 students enjoy both running and swimming, and 30 students enjoy both biking and swimming. Forty-five students do not enjoy any of these exercises. Let R be the set of students that enjoy running. Let S be the set of students that enjoy swimming. Let B be the set of students that enjoy biking. n(AU BUC) = n(A) + n(B) + n(C) - n(AB) - n(AC) - n(BC) + n(ABC) A. Provide the following. n(U) = ; n(RUBUS) = ; n(R) = ; n(S): n(B) = _;n(RS) = ; n(RB) = __; n(SB) = B. The following requires some works; for example, provide the formula, such as the one provided above, although you need to modify it to reflect the sets you are using (R, S, B): 1. How many students enjoy at least one of the three activities? What notation represents this statement (e.g., n(R~ B))? ¸ 2. How many students enjoy all three activities? What notation represents this statement (e.g., n(RB))?
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