In a survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103 owned a cat but not a dog, and 120 owned neither a dog or a cat. (a) How many owned both a cat and a dog? (b) How many owned a dog?

Q: In a survey, students were askedabout their favorite subjects. The results as follows: 132 students…

A: Let M, S and E represent the set of students who like Math, Science and English, respectively.…

Q: A recent study of 230 people in a small downtown neighborhood found that 66 had medical insurance…

A:

Q: There are 8 persons inside a room. If each will dance cha-cha with the other 7, how many dances are…

A: Given, There are 8 persons inside a room and each will dance with the other 7 To find the number of…

Q: Mr. Rettie orders a pizza with 5 toppings,chosen from 15 available toppings. In how many ways could…

A:

Q: In how many ways can 3 students from a class of 15 be chosen for a field trip?

A: Total number of students in a class = 15  Number of students chosen for a field trip = 3 The formula…

Q: A survey of 202 persons was conducted at TCC, and it was found that 83 persons carried a cell phone,…

A: It is given that, A survey was conducted over 202 people out of which No. of person who carried a…

Q: In how many different ways can the director of a research laboratory choose two chemical engineers…

A:

Q: n a survey of 42 people, 16 liked country music, five people liked country and rap, 17 people liked…

A: Given that there are total 42 people, in which people who liked country music is 16, total number of…

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: In a survey of 400 investors, it was reported that 283 had invested in stocks, 226 had invested in…

A:

Q: n a group of 37 children, 28 had a dog, 21 had a cat, and 17 had both a dog and a cat. How many…

A:

Q: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

A: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

Q: A survey of 800 households revealed that 300 had only a TV, 200 had only a computer, and 100 had…

A: Given that, A survey of 800 household revealed that, 300 had only a computer and 100 had neither a…

Q: Out of the 12 people applying for a scholarship, a) how many ways can we select a group of five to…

A: N : number of students = 12 a) To select 5 people. = (12),(11),(10),(9),(8)  are the choices for…

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: How many ways are there to choose 3 applicants from 8 job-seekers for high-paying positions in an…

A: Given information- We have given that in an engineering company 3 positions are there and 8…

Q: In a deck of 52 playing cards, how many 4-card hands are there that are made up of only red cards?

A:

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: A survey of 93 persons was conducted at TCC, and it was found that 53 persons carried a cell phone,…

A: Given, 1. people carried a cell phone or a tablet is

Q: Out of 32 students in a class 5 said they ride their bike to school. Based on these results how many…

A: Unitary method : It is a method by  first determine the value of single unit and then determine the…

Q: Ten jokes are listed in a magazine.   If the fourth joke from the magazine is​ excluded, in how…

A: There are 10 jokes listed in a magazine.Here 4th joke is excluded than find the number of ways…

Q: In how many ways can a student choose to do 5 questions out of 11 on a test?

A: The question is based on permutation. We need to find the number of ways a student can choose 5…

Q: How many 5-card poker hands selected from an ordinary 52-card deck contain four cards of the same…

A: A standard deck of cards contains 52 cards, of which 26 are red, and 26 are black, 13 of which are:…

Q: 100 athletes were asked about which sports they played in high school. 50 said that they played…

A:

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: In how many different ways can the director of a research laboratory choose two chemists from among…

A: Solution: Given information: Chemists applicants = 11  Physicists applicants = 7   To choose 2…

Q: In a survey of 260 students, it is found that 78 like broccoli, 103 like cauliflower, and 56 like…

A: We will solve it by Venn diagram Let A be the set who like broccoli and B be the set who like…

Q: The All-County Goat Show will award the blue ribbon for 1st place, red ribbon for 2nd place, and…

A: Using permutations and combination

Q: In how many ways can you arrange 4 people to be seated in a round table?

A:

Q: In a class of 18 girls and 15 boys, in how many ways can a girl get the highest grade, a boy second,…

A: Consider the given information.The number of the boys is 15 and the number of the girls is 18 girls.

Q: (a) If a student must answer 8 of 12 questions on an examination, how many different selections of…

A: Given:  A student must answer 8 of 12 questions on an examination  To find:a) The different…

Q: 4. The Recycling Club collected 196 cans on Monday, 248 on Tuesday, 205 on Wednesday and , 256 on…

A:

Q: In a survey of 124 pet owners, 28 said they own a dog, and 78 said they own a cat. 26 said they own…

A:

Q: In a survey of 83 pet owners, 56 said they own a dog, and 43 said they own a cat. 41 said they own…

A: Given,         In a survey of 83 pet owners, 56 said they own a dog, and 43 said they own a cat.…

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: In a survey of 185 pet owners, 76 said they own a dog, and 79 said they own a cat. 11 said they own…

A: 185 total people's are surveyed, 76 said they own a dog and 79 said they own a cat. 11 said they own…

Q: How many ways can seven people be seated at a roundtable relative to the door of a room?

A: Number of people are = 7 The number of permutation of n elements in a circle is: P=n-1!

Q: A photographer is asked to submit seven photographs from a collection of 14 for an exhibit. In how…

A:

Q: What are all the ways in which the top 4 racers in a 20 person race can finish?

A: Introduction:In the given situation, the number of persons participated in the race is 20. The…

Q: had a number of colored marbles in a bag. - of the marbles were red, of the remaining marbles were…

A: Simple calculation

Q: A college survey was taken to determine where students study. Of 140 students s cafeteria, 76…

A:

Q: In how many ways can seven students be seated in a round table?

A: We need to arrange 7 students around a circular table.  We have no point on a circular table for…

Q: A city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

Q: In a group of 500 students during vacation, 23% likes to go shopping only, 74% loves to stay at…

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

Q: In a class of 25 students, 17 lived with both parents, 21 lived with their mothers, and 20 lived…

A: Here we have to solve the following problems using Polya's problem-solving steps.

Q: In how many ways can a student select 7 out of 10 questions to work on an exam?

A: Given that, The total number of question to work on an exam is, n=10 The student select number of…

Q: In how many ways can six medical technology students be seated in a round table if two of the six…

A: The number of ways n people can arrange in a seating order is (n!).

Q: A speech class teacher is going to rank five different speeches from 12 available speeches. In how…

A: Given that  A class teacher is going to rank five different speeches from12 available speeches. We…

Q: In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice…

A: Mrs. Smith give a chocolate bar , a bag of potato chips and can of cane juice to 3 of the 21…

Q: A survey of 154 persons was conducted at TCC, and it was found that 47 persons carried a cell phone,…

A: Given, number of persons carried cell phone = 47 number of persons carried tablet computer =96…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.