Seven out of every ten monkeys in a zoo are smarter than the zookeepers. If there are 40 monkeys in total, and six of the less intelligent monkeys are transferred to a different zoo, how many out of remaining monkeys are not as smart as the zookeepers?

Q: A fleet of nine taxis is to be dispatched to three airports in such a way that two go to airport A,…

A: Given, A fleet of 9 taxis is to dispatch to the three airports A, B, and C also, 2 go to A, 6 go to…

Q: In a certain class there are a total of 45 majors in mathematics, 15 majors in philosophy, and 5…

A: Topic = Set theory

Q: Let 100 out of the 120 students of mathematics at a college take at least one of the languages…

A: Let numbers of students taking mathematics = M Hindi = H English = E German = G

Q: During intramurals the sports coordinator finds that, of its 175 students, 96 plays basketball, 86…

A: We want to find number of student that did not play any of the given three games.

Q: Assume that she has 4 possible destinations: Utah, New England, Oregon, and Colorado. There are 4…

A: The objective of the problem is identified below: From the given information, there are 4 possible…

Q: A survey of 500 farmers showed that of the​ farmers, 121 grew only​ wheat, 110 grew only​ corn,…

A: Let the Venn diagram below represents the given situation- Given, g=110 ... (1) b=121... (2)…

Q: A survey of 500 farmers showed that of the​ farmers, 123 grew only​ wheat, 114 grew only​ corn,…

A: Given: Total number of farmers, N = 500             Number of farmers who grew only wheat, n(W) =…

Q: A twenty-something single person is planning a ski vacation. Assume that he has 3 possible…

A: Here, the objective of the problem is to find the number of possible plans. A trip plan involves the…

Q: Gina runs every 4 days, cycles every 16 days, and jogs every 12 days. If she did all three…

A:

Q: A survey of 500 farmers showed that 0f the farmers 129 grew only wheat, 108 grew only corn and 90…

A: Given: 129 farmers grew only wheat 108 farmers grew only corn 90 farmers grew only oats 210 farmers…

Q: The public library has volunteers re-shelve books after they’ve been returned. When Lisa arrives to…

A: If there are a number of items in type 1 corresponding to that there are b number of items in type…

Q: A survey of 500 farmers showed that of the​ farmers, 127 grew only​ wheat, 112 grew only​ corn,…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: A class of 50 students opens two vacant positions for the potential president and a treasurer. How…

A: The question is based on permutation. We will use the following formula for solving the problem.…

Q: selected from a group of 11 Republicans and for Democrats. Find the number of ways of obtaining a…

A: Given that   Committee consists of members (r) = 7 Committee need to be selected from group of 11…

Q: you had a box of five different kinds of fruit and you could choose 2, you might get an apple and an…

A: Given that  Number of types of fruits (n) = 5 Number of fruits we could choose = 2   We know that…

Q: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door…

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: A survey of 500 farmers showed that of the​ farmers, 122 grew only​ wheat, 113 grew only​ corn,…

A:

Q: A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second day, he…

A:

Q: In a certain get together, there was a basket of fruits for every three guests, a basket of cookies…

A: Let the number of fruit baskets be x, the number of cookies baskets  be y and the number of chips…

Q: Mr.Hamilton waters one of his plants every 10 days and another plant every 14 days. If he waters…

A: The objective is to fine the number of days till the next time both plants are watered on same day,…

Q: Suppose that you have a combination lock that uses letters instead of numbers for its combination,…

A: Solution: The total number of letters is 26 and the lock will be opened with four letters and…

Q: In a village out of 200 people it was found that 55 people are infected from Malaria, 72 people are…

A: Solution: From the given information, 55 people are infected from Malaria, 72 people are infected…

Q: A survey of 500 farmers showed that of the​ farmers, 122 grew only​ wheat, 106 grew only​ corn,…

A: Let W represents Wheat C denotes Corn  O denotes Oats

Q: How many students are taking at least one of the three classes?

A: Concept:   The number of ways of achieving success that is the total number of possible outcomes is…

Q: A group of 10 people consists of 2 boys, 3 girls and 5 adults. In how many ways can a team of 4 be…

A: i) According to the combination rule, if r distinct items are to be chosen from n items without…

Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that there…

A:

Q: A 125-page document is being printed by five printers. Each page will be printed exactly once. (a)…

A: Consider the provided question, (a) There are 5 printers A, B, C, D and E. Each printer can print…

Q: Suppose that in a particular class of 135 students, 45 of them are majoring in math, 60 of them are…

A: Let, A be the students who are major in math, B be the students who are major in communications.…

Q: A Former gets 23.6 milk from each of his cows per day. He milks all four cows and pours the milk…

A:

Q: A survey of 500 foreign exchange students has determined that: 72 read French 40 read German 41 read…

A:

Q: A department store wants to send codes for  $15  off a  $75  purchase to the subscribers of its…

A: The coupon code have three letters followed by one digit and followed by one  letter. i.e. we have…

Q: Assume that in a university with 1000 students, 200 students are taking a course in mathematics, 300…

A:

Q: here are  14  European cities that Keiko would eventually like to visit. On her next vacation,…

A: Given data There are 14 European cities that Keiko would eventually like to visit. on her next…

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

A: There are totally 10 digits, the first digit has 9(Because first digit is nonzero) choices. Since…

Q: f any arrangement of letters is considered a word, and there are 21 consonants and 5 vowels to…

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: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: There are 2504 computer science students at a school. Of these, 1876 have taken a course in Java,…

A: We suppose that the set of students who have taken a course in Java be J, the set of students who…

Q: Suppose in a small town named Oshiland there are three places to eat, a Chinese restaurant, a…

A: Chinese Mexican Home Pizza  Chinese 30% 20% 20% 30% Mexican 25% 40% 25% 10% Home 20% 25% 25%…

Q: In how many ways can Coy drive from Caroline's city to Karl's city and return, going through Janry's…

A: Consider the following diagram to visualize the situation, As Coy begins the journey from…

Q: A student taking an examination is required to answer exactly 10 out of 15 questions. in how many…

A:

Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of…

A:

Q: A 125-page document is being printed by five printers. Each page will be printed exactly once. (a)…

A: (a). The number of ways for the 125 pages to assign to the 5 printers: The total number of pages in…

Q: How many different 4​-person teams​ (order does not​ matter) can be put together from a group of 27…

A: We have to choose 4 people from 27 persons and the order does not matter. So we will use the…

Q: A group of 250 people, if it is known that their average weekly wage is 324.48 dinars. Of them, 7…

A: Solution: Given There are a total of 250 people and the average weekly wage of these 250 people is…

Q: pose that twenty-five students signed up for classes during an orientation session. If exactly…

A: GivenL: n = 25 n (C) = 20 n(E) =16

Q: A survey of 500 farmers showed that of the​ farmers, 124 grew only​ wheat, 112 grew only​ corn,…

A: Given, 500 - farmers showed that of the​ farmers, 124 - grew only​ wheat, 112 - grew only​ corn, 89…

Q: number in Z+is written on the back of each of three cards. The numbers are not necessarily different…

A: This is a puzzle and we will solve using the concept of  basic maths

Q: Suppose that a group of 150 students have joined at least one of the chat rooms: one on auto racing,…

A: We want to find n(A⋂B)= ?

Q: A certain sample of E. Coli has 2.5 times the population every hour. If the sample began with 50…

A: Given, A certain sample of E. Coli has 2.5 times the population every hour If the sample began with…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.