A survey of magazine subscribers placed 61 celebrities in 3 categories. 36 were on the most powerful list. 30 were on the most liked list. 22 were on the most intelligent list. 5 were on all three lists. 16 were on the most powerful and most liked lists. 12 were on the most powerful and most intelligent lists. 9 were on the most liked and most intelligent lists. How many were only on the most intelligent list? How many were on none of the lists? were only on the most intelligent list. were on none of the lists.
A survey of magazine subscribers placed 61 celebrities in 3 categories. 36 were on the most powerful list. 30 were on the most liked list. 22 were on the most intelligent list. 5 were on all three lists. 16 were on the most powerful and most liked lists. 12 were on the most powerful and most intelligent lists. 9 were on the most liked and most intelligent lists. How many were only on the most intelligent list? How many were on none of the lists? were only on the most intelligent list. were on none of the lists.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Survey Analysis of Celebrity Lists**
A survey of magazine subscribers categorized 61 celebrities into three distinct lists based on attributes:
- **Most Powerful List**: 36 celebrities
- **Most Liked List**: 30 celebrities
- **Most Intelligent List**: 22 celebrities
Additional information from the survey includes:
- 5 celebrities appeared on all three lists.
- 16 celebrities were featured on both the Most Powerful and Most Liked lists.
- 12 celebrities were included in both the Most Powerful and Most Intelligent lists.
- 9 celebrities appeared on both the Most Liked and Most Intelligent lists.
**Questions:**
1. How many celebrities were only on the Most Intelligent list?
2. How many celebrities were on none of the lists?
**Interactive Answer Options:**
- [ ] were only on the most intelligent list.
- [ ] were on none of the lists.
**Explanation:**
To solve the questions, we will use the principles of set theory, considering overlaps and individual category inclusions to find the exclusive and excluded numbers from the provided data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4726056b-a0d8-4167-a534-8f03670a441a%2Ff22d583c-0e9a-4a8d-8499-dfa8a0c25174%2Fwsyljzn_processed.png&w=3840&q=75)
Transcribed Image Text:**Survey Analysis of Celebrity Lists**
A survey of magazine subscribers categorized 61 celebrities into three distinct lists based on attributes:
- **Most Powerful List**: 36 celebrities
- **Most Liked List**: 30 celebrities
- **Most Intelligent List**: 22 celebrities
Additional information from the survey includes:
- 5 celebrities appeared on all three lists.
- 16 celebrities were featured on both the Most Powerful and Most Liked lists.
- 12 celebrities were included in both the Most Powerful and Most Intelligent lists.
- 9 celebrities appeared on both the Most Liked and Most Intelligent lists.
**Questions:**
1. How many celebrities were only on the Most Intelligent list?
2. How many celebrities were on none of the lists?
**Interactive Answer Options:**
- [ ] were only on the most intelligent list.
- [ ] were on none of the lists.
**Explanation:**
To solve the questions, we will use the principles of set theory, considering overlaps and individual category inclusions to find the exclusive and excluded numbers from the provided data.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
