Draw a vent Diagram representing this situation.

Q: A survey was given to a group of 10,000 students to determine whether they wanted an outdoor…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: Ms. Teller surveyed the 38 students in her class about their families. 28 students have a brother or…

A: solution of the given problem is below...

Q: A company conducted a marketing survey of its clientele and found that 160 own an iPhone and 89 own…

A: Given that, A company conducted a marketing survey of its clientele and found that 160 own an iPhone…

Q: A group of 15 boys and 12 girls are planning to have a beach party. How many different committees of…

A: In how many different committees of 3 boys and 2 girls can be formed from this group of students if…

Q: Kara did a survey to determine to study the types of pets that students in her school had. She…

A:

Q: The following day 5 drinks samples are add and customers are told that they can take 3 cake samples…

A: In these types of questions, the basic formula is of combinations. The required result, total…

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: Ms. Jones has four skirts, seven blouses, and threesweaters. In how many ways can she choose two of…

A: From the given information in total there are: 4 skirts, 7 blouses, and 3 sweaters. Number of ways…

Q: Of the eighth graders at Praxton School, 15 played basketball, 9 played volleyball, 10 played…

A:

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Determine the number of different committees formed with three females and 2 males.   The number of…

Q: Draw a two-way table 9. Or the 210 people surveyed, 147 said they owned a car, S59 answered they…

A: We want to make two way table.

Q: Two boxes, A and B, contain 2 balls and 6 white, and B contains 2 red and white. If one of the boxes…

A:

Q: In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student…

A: Let us denote: Cricket = C and Football= F Given that, n(C)= 24 , n(F)= 16 , n(C or F)=35  We have…

Q: Before doing the ordering for a company barbecue, the manager took a poll to find out how many…

A: Given people who eat corn = 39 people who eat ribs = 57 people who eat hamburgers = 65 people who…

Q: How many different routes can a saleswoman have if she must visit eight different companies in a…

A:

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: Your school principal wants to select a group of six students from your class of 15 students to…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: The organizer of a conference is selecting workshops to include. She will select from 9 workshops…

A: Here we have to use concept of combinations.

Q: If 11 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many…

A:

Q: The Croods, Half Brothers, All My Life, The War with Grandpa, and Let Him Go are playing tonight at…

A: Suppose we have n different positions and n different object to place then we can numbered position…

Q: Renae, Nexael, Braden, Lovely, and Vanessa are attending a play and want to sit together in a row.…

A:

Q: Kaitlyn, a fifth-grader, asked five of her friends in class which book is their favorite. All of…

A: Here the sample is five friends of Kaitlyn and the population is all the children of Kaitlyn's…

Q: Of the trains that recently arrived at Hampton Station, 4 were on time and 2 were late. Considering…

A: It is an important part of statistics. It is widely used.

Q: As a television executive, you have been given 24 shows to choose from to run during your prime time…

A:

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble…

A: Given,  n = 16 H0: p = 0.50 Ha: P>0.50 (right tailed test)

Q: Suppose Fred has 2 pairs of pants (blue and black) and 3 shirts (red, blue, and black). Which of the…

A: blue-red, blue-blue, blue-black, black-red, black-blue, black-black.

Q: Of the eighth graders at the Paxton school, 12 played basketball, 9 played volleyball, 10 played…

A: Please make a Venn diagram to understand what's going on here:

Q: A woman has two skirts and six blouses. Assuming that they all match, how many different skirt and…

A: As we know, nCx=n!(x)!  *  (n-x)! ; where n!=1*2*3*.....(n-1)*n

Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

A:

Q: The intention is to form a committee consisting of 5 persons from BIM, a group of engineers and…

A: There are 10 engineers and 4 technicians. Thus, total number of individuals in the population is, n…

Q: A TOTAL of 63 students preferred chocolate ice cream. Out of the 100 student responses, 43 were…

A: The contingency table is a two way table which is used to enter the data of two categorical…

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: \item How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his…

A: Note: As per our Honor code policy, we are authorized to answer only three sub parts at a time. So,…

Q: At a liberal arts school, a survey of 100 students indicates that 68 enjoy their English class while…

A: Let,Number of students who enjoys English subject = n(E)Number of students who enjoys Mathematics…

Q: If a guy has 4 apples and he gives away the 3 how many apples will he have ?

A:

Q: A local radio station took a poll of 90 of its listeners to find out whether they like to watch…

A: let M be the listeners who like mariners games SE be the listeners who like seahawks games, SO be…

Q: In a group of 200 students, the following facts are known: 75 are taking French, 80 are taking…

A: The given information is shown in the Venn Diagram

Q: A company conducted a marketing survey of its clientele and found that 215 own an iPhone and 106 own…

A: It is given that 215 of the clients own an iPhone and 106 own an iPad. If 19 clients own both an…

Q: You are making a string of coloured balloons as a decoration for the formal. If you have five green,…

A: Solution: From the given information, there are five green, six gold and four white balloons. Total…

Q: Out of a group of 20 children, 10 drink tea, 9 drink coffee and 7 drink milo. 4 drink tea and coffee…

A: Given Number of children drink tea = n(T) = 10 number of children drink coffee = n(C) = 9 number of…

Q: Anna surveyed 48 students to see which devices are available at home used for their online learning,…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Find the number of different ways a grade A, B, C or D can be assigned to three students of a class…

A: Suppose we have three students x , y and z Now  x has 4 grade options y has 3( As one is already…

Q: Suppose Fred has 2 pairs of pants (blue and black) and 3 shirts (red, blue, and black).  Which of…

A:

Q: A veterinarian surveys 28 of his patrons.  He discovers that 12 have dogs, 10 have cats, and 6 have…

A:

Q: are buying 10 t-shirts and have as many of each type

A: Given, You are buying 10 t-shirts and there are 8 different colors to choose from.

Q: A philanthropist, on his free day, seeks to visit an orphanage from the seven orphanages he supports…

A: Given information No of orphanages = 7 No of elementary school = 10 No of care homes = 8

Q: In a company, you need to pick from your employees to be the manager, the supervisor, the…

A:

Q: in a mall survey, 200 consumers were asked where they did their gift shopping; Macy’s, JC Penny’s,…

A: Total consumer = 200 consumers Total number of people who shopped at least at two different stores =…