A team of 145 tourists planned to visit East Africa. Among them, 71 visited Kenya, 63 visited Uganda, 62 visited Tanzania, 21 visited Kenya and Uganda, 36 visited Kenya and Tanzania, 18 visited Tanzania and Uganda, while 16 visited all the three countries. Draw a Venn diagram to represent this information. Hence, determine the number of tourists who: (a) didn’t manage to visit East Africa. (b) visited Tanzania only. (c) visited Kenya but not Uganda. (d) visited at least two countr

Q: (a) By drawing a suitable Venn diagram, carefully explain why AUB= ANB %3D

A:

Q: A survey of 300 parks showed the following: 15 had only camping, 20 had only hiking trails, 35 had…

A: A denotes only camping = 15C denotes only hiking = 20G denotes only picnicking = 35A+B+D+E denotes…

Q: A cellphone company has 1000 employees, 615 are male, 682 are single, and 505 are union members. 475…

A:

Q: 6. In a veterinary waiting room, there were a total of 12 individuals, 8 of whom brought dogs, 5…

A: Given: Total individuals = 12 Number of individuals that brought dogs = 8 Number of individuals that…

Q: A shop collected the following information regarding 33 of its employees. Of these employees , 9…

A: As per policy I have solved first three sub parts.for remaining reload next question Given 33…

Q: In a survey carry out in a school snack shop, the following result were obtained; of 100 boys…

A:

Q: A survey of 145 computer science students reveals that 80 own desktop computers, 95 own laptops, 30…

A: Assume number of students who has  desktop = d number of students who has laptops= l number of…

Q: Draw a Venn diagram showing the members of Congress of the United States, the members of the House…

A: Congress of the United States consists of 100 senators, 435 representatives, and 6 non-voting…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: When the members of a family discussed where their annual reunion should take place, they found that…

Q: In a survey of 1,293 college students, 687 used Spotify to listen to music and 389 used iTunes to…

A: Solution: From the given information, in a 1293 college students 687 used Spotify to listen to…

Q: Of the 420 studdents at Middletwon High School, 126 study French and 275 study music. Twenty percent…

A: Given, Total number of students = 420 Students who study french = 126 Students who study music =…

Q: In a group of people we have 7 football player 5 baseball player 1 who is both football player…

A: Venn diagram is diagrammatic representation of similarities and differences between two concepts .…

Q: Fifty people were surveyed and only 20 people said that they regularly eat Healthy Foods like Fruit…

A: Given data: Fifty people were surveyed and only 20 people said that they regularly eat Healthy Foods…

Q: Draw a Venn diagram to represent the information

A: TREE DIAGRAM P(A/B)=P(A∩B)P(B)⇒P(A∩B)=P(B)*P(A/B)

Q: In a survey of 60 people, it was found out that 25 read Manila Bulletin, 26 read Philippine Daily…

A: Given information : Total number of people = 60 Number of people who read Manila Bulletin = 25…

Q: 2. A company surveyed grocery shoppers to learn more about the consumers at a par- ticular store.…

A: Given information: The total number of people shopping at a grocery store, U = 200. Number of people…

Q: Of 21 typists in an office, 5 use all manual typewriters (M), electronic typewriters (E) and word…

A: A Venn diagram is an illustration that uses circles to show the relationships among things or finite…

Q: Make a venn Diagram: In our classroom of 39 students, 11 students have a blue pen, 14 students have…

A: Total number of students = 39 No. of Students having only blue pen = 11 No. of Students having only…

Q: In a survey of 285 professional athletes, it was found that 146 of them owned a convertible, 133 of…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: In a survey of 4584 people, 3290 had a car, 2222 had a pet, 3540 had a television set, 3047 had a tv…

A:

Q: When a group of colleagues discussed where their annual retreat should take place, they found that…

A: Let A represent the colleagues who would not go to a park. Let B represent the colleagues who would…

Q: Create a Venn diagram on first impressions at school, at work, and at both school and work. What do…

A: Create a Venn diagram on first impression at school, at work, and at both school and work. What do…

Q: Suppose that in a particular class of 200 students, 31 of them plan on majoring in math, 27 plan on…

A:

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: Member would not go to park be n(P)=12 Member would not go to beach be n(B)=10 Member would not go…

Q: The 61 students in a classical music lecture class were polled, with the results that 35 like…

A:

Q: 1. Out of 120 people, it was found that 50 like pasta, 42 like pizza, 39 like burger , 21 like pasta…

A:

Q: 4. Among 170 visitors to Disneyland, 74 stayed for at least 3 hours, 86 spent at least $20, 64 went…

A: 4. There are totally 170 visitor visited Disneyland. The data is given under three categories that…

Q: A survey of 101 college students found that 18 take only algebra, 21 take only statistics, 25 take…

A: The Venn diagram for the given information is,

Q: Draw the Venn Diagram for A - B

A: We need to draw the Venn Diagram for A-B¯. We know the following. A¯=U−A and A-B = A - (A∩B). Ley U…

Q: A survey of 200 students yielded the following information: 94 students marked due dates for…

A: Let us denote:  A=students marked due dates for assignments on their calendar B=printed the course…

Q: Draw the Venn diagram and answer the following questions: 1. 2. 3. In a class of 30 students, 19 are…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: In a school of 450 students, 120 students are in DECA, 270 students are on sports teams, and 75…

A:

Q: 3. A cellphone company has 1000 employees, 615 are male, 682 are single, and 345 are union members…

A: Given: A cellphone company has 1000 employees, 615 are male, 682 are single, and 345 are union…

Q: 4. You survey college-bound seniors and find that 85% plan to live on campus, 35% plan to have a car…

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: one course only by using Venn diagram.

A:

Q: When the members of a family discussed where their annual reunion should take​ place, they found…

A: Given: Shorthand representation NP= Not go to the park NB= Not go to the beach NC= Not go to the…

Q: In CNU, 55 students enrolled in Science, 45 in Math, 30 in English, 18 in Science and Math,13 in…

A:

Q: survey of 50 musicians showed that: 30 play the piano, 20 play the guitar, 20 play the violin, 12…

A:

Q: 9, In a ceremony, out of 800 participants, 20 drank milk, 350 drank tea and 50 did not 520 drink any…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: How many different flag signals, each consisting of 7 flags hung vertically, can be made when there…

A: Given: Total number of flags = 7 Number of red flags = 3 Number of blue flags = 2 Number of white…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: We can solve it using Venn diagram

Q: Among 120 visitors to Disneyland, 74 stayed for at least 3 hours, 86 spent at least $20, 64 went on…

A:

Q: In a group of movies lovers, 12 of them like SF movies, 9 of them like Action movies, 7 of them like…

A:

Q: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

A: Given data: The total numbers of objects are n=15. The numbers of objects choose is r=5. (a) Write…

Q: Blood types are classified on the basis of the presence of three antigens, A, B, and Rh. If you were…

A:

Q: In a survey of 60 people it was found that 25 read Nation news paper, 26 read Kenya Times and 26…

A:

Q: A store located in downtown Boston has 80 employees. Through an informal survey of the employees, it…

A:

Q: 12 patients have fever, 6 patients have colds, 15 patients have headache.  1 patient has all three…

A:

Q: n a survey of 120 people, it was found that: 65 read Newsweek magazine, 20 read both Newsweek and…

A: Given that:                     Total number of people = 120Number of people reading Newsweek…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.