Question

At a school, 69% of Math Club members are also in the Physics Club, and 79%...

At a school, 69% of Math Club members are also in the Physics Club, and 79% of Math Club members are also on the Quiz Team. Consider the percentage, P, of Math Club members who are both in the Physics Club and also on the Quiz Team. Based on the given data alone, we can find a percentage M and a percentage N that will guarantee that M ≤ P ≤ N. What is the sum of the largest possible value for M and the smallest possible value for N?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The total is 100% of Math Club members. P is the percentage of Math Club members who are both in Physics Club and the Quiz team.

So . This is because we know where A is the set of Physics Club members and B is the set of Quiz team members.

So we get Also P cannot exceed the physics club members so  .

This implies and is the best bound. M=48,N=69 their sum is   

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A student has the following assignment grades: 85, 92, 72, 69, 74, 96, 83, 76, 72,...
A student has the following assignment grades: 85, 92, 72, 69, 74, 96, 83, 76, 72, 97. Find the mean, mode, and the five-number summary. Round to one decimal Find the mean and the standard deviation of the following quiz scores: 21, 20, 23, 15, 16. Round to one decimal. 15,000 students take a national test. The results are normally distributed with a mean of 400 and a standard deviation of 120. Approximately how many students scored between 400 and...
Problem 1: Relations among Useful Discrete Probability Distributions. A Bernoulli experiment consists of only one trial...
Problem 1: Relations among Useful Discrete Probability Distributions. A Bernoulli experiment consists of only one trial with two outcomes (success/failure) with probability of success p. The Bernoulli distribution is P (X = k) = pkq1-k, k=0,1 The sum of n independent Bernoulli trials forms a binomial experiment with parameters n and p. The binomial probability distribution provides a simple, easy-to-compute approximation with reasonable accuracy to hypergeometric distribution with parameters N, M and n when n/N is less than or equal...
Discussion Topic: Use “Euro-Disney Stumbles” (p. 130) from the textbook. (Adams & Galanes) The third dimension...
Discussion Topic: Use “Euro-Disney Stumbles” (p. 130) from the textbook. (Adams & Galanes) The third dimension is that of context. In a low-context culture, such as that of the United States and New Zealand, the verbal part of the message carries the meaning—what you say is exactly what you mean. If you say that you like my proposal, I can trust the fact that you really do like it. In a high-context culture, such as most Asian and Native American...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme values in the data set is the a. range b. median c. mode d. mean 2. If two events are independent, then a. they must be mutually exclusive b. the sum of their probabilities must be equal to one c. their intersection must be zero d. None of these alternatives is correct. any value between 0 to 1 3. Two events, A and B,...
Java question, Please answer everything. Thank you Answer the following questions as briefly (but completely) as...
Java question, Please answer everything. Thank you Answer the following questions as briefly (but completely) as possible: What is a checked exception, and what is an unchecked exception? What is NullPointerException? Which of the following statements (if any) will throw an exception? If no exception is thrown, what is the output? 1: System.out.println( 1 / 0 ); 2: System.out.println( 1.0 / 0 ); Point out the problem in the following code. Does the code throw any exceptions? 1: long value...
1.The sample mean is an unbiased estimator for the population mean. This means: The sample mean...
1.The sample mean is an unbiased estimator for the population mean. This means: The sample mean always equals the population mean. The average sample mean, over all possible samples, equals the population mean. The sample mean will only vary a little from the population mean. The sample mean has a normal distribution. 2.Which of the following statements is CORRECTabout the sampling distribution of the sample mean: The standard error of the sample mean will decrease as the sample size increases....
Using the model proposed by Lafley and Charan, analyze how Apigee was able to drive innovation....
Using the model proposed by Lafley and Charan, analyze how Apigee was able to drive innovation. case:    W17400 APIGEE: PEOPLE MANAGEMENT PRACTICES AND THE CHALLENGE OF GROWTH Ranjeet Nambudiri, S. Ramnarayan, and Catherine Xavier wrote this case solely to provide material for class discussion. The authors do not intend to illustrate either effective or ineffective handling of a managerial situation. The authors may have disguised certain names and other identifying information to protect confidentiality. This publication may not be...
Plagiarism Certification Tests for Undergraduate College Students and Advanced High School Students These tests are intended...
Plagiarism Certification Tests for Undergraduate College Students and Advanced High School Students These tests are intended for undergraduate students in college or those under 18 years of age. Read these directions carefully! The below test includes 10 questions, randomly selected from a large inventory. Most questions will be different each time you take the test, You must answer at least 9 out of 10 questions correctly to receive your Certificate. You have 40 minutes to complete each test, and you...
The assignment summary sheets will be submitted week 14 with Test 3. You are to personally...
The assignment summary sheets will be submitted week 14 with Test 3. You are to personally experience the power and satisfaction of developing these skills firsthand and to reflect and write about this experience. Over the years, many students have shared amazingly rewarding experiences as they worked on these skills. The assignment will be evaluated and be weighted as 5% of your final mark (together, they are worth 20% of your mark for Test 3, which is worth 25% of...
The Business Case for Agility “The battle is not always to the strongest, nor the race...
The Business Case for Agility “The battle is not always to the strongest, nor the race to the swiftest, but that’s the way to bet ’em!”  —C. Morgan Cofer In This Chapter This chapter discusses the business case for Agility, presenting six benefits for teams and the enterprise. It also describes a financial model that shows why incremental development works. Takeaways Agility is not just about the team. There are product-management, project-management, and technical issues beyond the team’s control. Lean-Agile provides...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT