Directions: Read and analyze each problem carefully, solve and answer the questions that follow. The solution is needed to earn points. 100 students were interviewed. 28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took PE and ENG, 6 took BIO and ENG, 4 took all three subjects. a) How many students took none of the three subjects? b) How many students took PE but not BIO or ENG? c) How many students took BIO and PE but not ENG?

Q: At the restaurant i 28 E n, they have 6 appetizer and 22 entree options. How many unique 2-course…

A: Total appetizer = 6 Total Entree = 22 We have to choose one appetizer and one entree for a 2-course…

Q: Your family is considering purchasing a new car. The dealer has given a list of choices that need to…

A: given data  list of choices for car: interior may be made of cloth or leather : n1 = 2 colour of…

Q: On a math exam, students must answer 5 out of 7 questions from Part A and only 2 out of 4 questions…

A: Introduction: Suppose, there are n different objects. Out of the total number of objects, r objects…

Q: The port of Lajitas has three loading docks. The distance (in meters) between the loading docks is…

A: First consider the constraints. Every tanker must be assigned to a loading dock. We have to find…

Q: Ms Liza has enough lollipops to give each learner in her class.she gives each learner 3lollipops and…

A:

Q: Please answer the following question and choose the best answer choice: Suppose six units of…

A:

Q: Solve each problem completely. 1. How many committees can be formed with 3 male and 4 female from 5…

A: The Permutation is the method that used to understand the number of possible arrangements with order…

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: Among the seniors at a small high school of 150 total students, 80 take Math, 41 take Spanish, and…

A: Total = 150  Math = 80  Spanish = 41 Physics = 54  10 = (Math and Spanish) 19 = Math and physics 12…

Q: A lie detector will show a positive reading (indicate a lie) 5% of the time when the person is…

A: Note: According to Bartleby guidelines we can solve only one question in case of multiple questions…

Q: 3.) A chef cooks 2 of a pound of pasta. She plans to serve - of a pound to each customer. How 12…

A:

Q: Mr Han bought some pens. He gave 225 pens to Class 3A and 132 pens to 1 Class 3B. He gave of the…

A: Given that Mr. Han bought some pens . He gave 225 pens to class 3A and 132 pens to class 3B.He gave…

Q: Two children are painting. The first child mixes 3 ounces of red paint with 2 ounces of yellow…

A:

Q: If i have 264 out of 283 points, how many points is that out of 100pts?

A: If i have 264 out of 283 points, how many points is that out of 100pts?

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: How many ways can Susan assign someone to buy​ beverages, someone to arrange for​ food, and someone…

A: Here Given  Susan Has 9 Friends   (Vicki, Luis,​ Maddy, Hank, Rob, Sean, Marie, Roy, and Jeanne)

Q: Out of 10 families, six families have dogs, four have cats and two have neither cats nor dogs. Find…

A: The number of elements in the set can be calculated using the set formula. The union of the sets can…

Q: Bob decides to order baseball cards from an online catalog. Each pack of cards he orders cost $3.50…

A:

Q: Marsha has three times as many one-dollar bills as she does five-dollar bills. She has a total of…

A: let  Marsha has 5 dollar bill= x Marsha has 1 dollar bills= 3x total= $32

Q: A toll collector on a highway receives $8 for trucks and $7 for cars. At the end of a 3-hour period,…

A:

Q: For this problem, assume that 13 exhibits entered the science fair, and that we want to assign 3…

A: The number of exhibits entered the science fair is 13. The number of prizes that are to be assigned…

Q: Janet wants to cross a river by jumping rocks. If the rocks are close enough to jump one, two or…

A: The scenario in which Janet wants to cross a river by jumping rocks.The rocks are close enough to…

Q: There are 95 toys to be given out to a group of children. A ball costs $2, a doll costs $3, and a…

A:

Q: A town has a total population of 50,000. Out of it 28,000 read Ittefaq and 23,000 read Inclub while…

A: Total population = 50000 Number of 'Ittefaq' readers = 28000 Number of 'Inclub' readers = 23000 4000…

Q: For a school project, Ely will get 25 points for an oral presentation, with an additional 5 points…

A: Given ,  For a school project , Ely get 25 points on oral presentation , with an additional 5 points…

Q: An examination paper consists of 12 questions divided into parts A and B. Part A contains 7…

A: Given Information: Total number of questions = 12  Questions in Part A = 7  Questions in Part B = 5

Q: 3.) Jahnyah makes 9 cups of snack mix. She puts all the snack mix in to plastic bags. She puts 15…

A:

Q: A debating team consists of 9 boys and 9 girls. Find the number of ways they can sit in a row where:…

A: The total no. of boys is .The total no. of girls is .Consider the formula for . For  considered…

Q: Me.paul drove from Drake to clay and back. From Drake he drove 312 miles took a break and then drove…

A:

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: Match each question with its answer.

A: Given, Two types of Cola : Fizzy fizz Cola and Snappy Syrup Samples given to 50 people Ratings: 1 to…