6.1 and 6.2 ### Venn Diagram Analysis for Student Activities #### Task C**Instruction:** Draw a Venn Diagram showing the number of students in each of the eight sections of the Venn Diagram.**Diagram Description:**The Venn Diagram consists of three overlapping circles:- Circle R- Circle S- Circle BThe circles are contained within a rectangular frame denoted as U.#### Task D**Questions & Answers:**1. **Number of Students Enjoying Only Biking:** - Answer: ___________________________________2. **Number of Students Enjoying Biking or Swimming, but Not Running:** - Answer: ___________________________________ - Show your work: (Provide a detailed calculation similar to the example: 15 + 10 - 5 = 20)3. **Number of Students Enjoying Biking and Swimming, but Not Running:** - Answer: ___________________________________When creating your answers, ensure to carefully consider the individual and overlapping segments of the Venn Diagram. ### Problem Solving and Sets in MathA survey of 220 college students reveals the following preferences regarding physical activities:- 100 students enjoy running,- 70 students enjoy biking, and- 100 students enjoy swimming.Additionally:- 25 students enjoy both running and biking,- 50 students enjoy both running and swimming,- 30 students enjoy both biking and swimming, and- 45 students do not enjoy any of these exercises.Let the variables represent the following sets of students:- $ R $ be the set of students that enjoy running.- $ S $ be the set of students that enjoy swimming.- $ B $ be the set of students that enjoy biking.The inclusion-exclusion principle gives us the formula for the union of three sets:\[ n(A \cup B \cup C) = n(A) + n(B) + n(C) - n(A \cap B) - n(A \cap C) - n(B \cap C) + n(A \cap B \cap C) \]#### Part A: Provide the following values:1. Total number of students surveyed: \[ n(U) = 220 \]2. Number of students not enjoying any activity: \[ n((R \cup B \cup S)^c) = 45 \] 3. Number of students enjoying only running: \[ n(R) = 100 \]4. Number of students enjoying only biking: \[ n(B) = 70 \]5. Number of students enjoying only swimming: \[ n(S) = 100 \]6. Number of students enjoying both running and swimming: \[ n(R \cap S) = 50 \]7. Number of students enjoying both running and biking: \[ n(R \cap B) = 25 \]8. Number of students enjoying both swimming and biking: \[ n(S \cap B) = 30 \]#### Part B: Further analysis##### 1. How many students enjoy at least one of the three activities?Using the inclusion-exclusion principle:\[ n(R \cup S \cup B) = n(R) + n(S) + n(B) - n(R \cap S) - n(R \cap B) - n(S \cap B) + n(R \cap S \cap B) \]\[ n(R \cup

Note: as per guidelines we support only three subparts of the questions.kindly repost next question…

Answered: C. Draw a Venn Diagram showing the…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

A statistics professor for STAT 250 wants to investigate how long it takes students to complete Exam 1. The times that it took all 715 STAT 250 students in Spring 2022 were recorded in the data set “Time to Complete Exam 1” found in StatCrunch. The time is recorded in minutes. A student who completed the exam in 50:30 (50 minutes and 30 seconds) would be recorded as 50.5 minutes Column Mean Std. dev. Sample 26 (Time) 43.93 7.14 1) Does the mean calculated come from a sampling distribution that is approximately Normal? Check all three conditions of the Central Limit Theorem using one complete sentence for each condition to answer this question 2) Calculate the probability that, in a random sample of 26 students, the mean time to complete Exam 1 is 50 minutes or more. Complete this part by standardizing and using the Standard Normal Table to obtain this probability. Show all work and type all calculations.
What does am/n mean ?
) 3 2010 06 36% Progress Camila and Evelyn work at a dry cleaners ironing shirts. Camila can iron 40 shirts per hour, and Evelyn can iron 20 shirts per hour. How many total shirts would be ironed between the two workers if Camila worked 6 hours and Evelyn worked 9 hours on a given day? How many total shirts would be ironed between the two workers if Camila worked a hours and Evelyn worked y hours on a given day? Camila works 6 hours and Evelyn works 9 hours: I ACaila works a hours and Evelyn works y hours: Submit Answer attempt i out of 2 Privacy Policy Terms of Service Copyright 2021 DeltaMath.com. All Rights Reserved DELL 女 23 2$ & 2 4. 5 6 7 8. b. W e y i a S f k
The table shows the leading causes of death in a certain country in a recent year. The population of the country was 311311 million. If you lived in a typical city of 500,000, how many people would you expect to die of cancercancer each year? Cause Deaths Cause Deaths Heart disease 596 comma 700596,700 Alzheimer's disease 84 comma 90084,900 Cancer 575 comma 300575,300 Diabetes 73 comma 40073,400 Chronic respiratory diseases 143 comma 100143,100 Pneumonia/Influenza 53 comma 40053,400 Stroke 128 comma 600128,600 Kidney disease 45 comma 30045,300 Accidents 122 comma 500122,500 Suicide 38 comma 60038,600 About people would be expected to die of cancer each year. (Type a whole number. Round to the nearest person as needed.)
A person with tuberculosis is given a chest x-ray. Four tuberculosis x-ray specialists examine each x-ray independently. If each specialist can detect tuberculosis 83% of the time when it is present, what is the probabilty that at least 1 of the specialists will detect a person positive.
A psychologist believed that as children get older, they engage in more “inactive activities” such as playing computer games, watching TV and surfing the internet. She collected data from 10 children. She recorded the age of each child and the amount of activity (in hours) the child engaged in per week. Age Activity 7 4.3 9 3.2 10 1 13 1.5 12 1.2 15 0.8 9 3 12 4 15 1.5 14 1.9 Using excel, obtain a scatterplot of the data. Discuss the relationship between age and activity based on the scatterplot. Using excel, obtain the simple linear regression linear regression line predicting activity from age. Interpret the intercept and slope of the regression line. By hand, predict the amount of activity for age = 14. By hand, calculate the residual for age = 14 Using excel output, test the null hypothesis that the slope coefficient is zero using the p-value approach. Write one sentence interpreting the meaning of this result. Make sure to report the test statistic…

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra And Trigonometry (11th Edition)

Algebra

ISBN:

9780135163078

Author:

Michael Sullivan

Publisher:

PEARSON

Introduction to Linear Algebra, Fifth Edition

Algebra

ISBN:

9780980232776

Author:

Gilbert Strang

Publisher:

Wellesley-Cambridge Press

College Algebra (Collegiate Math)

Algebra

ISBN:

9780077836344

Author:

Julie Miller, Donna Gerken

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS

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