100 athletes were asked about which sports they played in high school. 50 said that they played soccer, 40 played basketball, and 50 ran track. Moreover, 20 Ran track and played soccer, 16 Ran track and played basketball, 22 played soccer and basketball, and 12 did all three. How many played both basketball and soccer but did not run track?

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: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

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: For a school health project, Tim asked 128 people whether o missing from the diagram. Healthy Diet…

A: Given that:     Total number of people surveyed=128

Q: In how many ways can you choose 5 out of 11 people for a game of basketball?

A: In how many ways can you choose 5 out of 11 people for a game of basketball. Here i attached…

Q: A survey of 150 people was conducted to determine their favorite sport. 74 people like chess, 94…

A: answer is in next step

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

A:

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

A:

Q: The records of 1492 high school students were examined, and the following information was obtained:…

A: The records of 1492 high school graduates were examined, which means that the universal set, Now,…

Q: In a survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103…

A: Determine how many owned both a cat and dog. From the information, given that   Number of people…

Q: From a group of 11 Democrats and 9 Republicans, a Social Justice committee of 6 must be chosen…

A: Note: We are required to answer only first 3 subparts, unless specified. Given: Number of Democrats…

Q: The chess club has six members. ​(a) In how many ways can all 6 members line up for a​ picture? ​(b)…

A:

Q: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10. a. How many…

A: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10.   a. Number of…

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: d) How many ways to invite 10 out of 20 friends to be part of a group chat?

A:

Q: and

A:

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: In how many ways can the 40 members of a company club select a president, a vice president, and a…

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

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: 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: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

Q: 50 people were surveyed about whether they like the ice cream flavors vanilla and 20 people liked…

A: Let the people who like vanilla be denoted by V and people who like strawberry be denoted by S.…

Q: 2. If you have 7 types of candy, how many pieces of candy would you have to guarantee that you had…

A:

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

A:

Q: A theater was designed to have 24 seats in the first row, 30 seats on the second row, 36 seats on…

A:

Q: In a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors in…

A:

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: How many ways are there to select 47 cards from a standard deck of 52 cards?

A: To find: The number of ways to select 47 cards from a standard deck of 52 cards. Concept used: The…

Q: 4. In a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors…

A:

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

A:

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

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: At a restaurant 52 people were asked in a survey if they eat meat, fish, or both. Of those adults 10…

A: We can make a Venn diagram and clearly see from there.

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: 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: In a group of 24 people who like rock, country, and classical music, 14 like rock, 17 like…

A:

Q: In a standard deck of 52 cards, how many cards are either aces or hearts?

A: There is a standard deck of 52 cards. To determine how many cards are either aces or hearts.

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

Q: how many hands of 33 cards can be made, where all cards are of the same suit?

A:

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 survey of 150 people was conducted to determine their favorite sport. 74 people like chess, 94…

A: We want to find number of people that not like any of the three sports.

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: Mr. Ocampo buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93 boxes,…

A: According to the question, we have to find the number of boxes left over after putting 93 boxes into…

Q: n a sample of 600 college students, 87.2% said they graduated from high school. How many of the…

A: Given, In a sample of 600 college students 87.2% said they graduated from high school Number of…

Q: 43% of the students in a school are boys. If there are 399 girls in the school, what is the entire…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: Of the members of three athletic teams at a certain school, 21 are on the basketball team, 26 on the…

A: Where A are the members of basketball team B are the members of baseball team C are the members of…

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.