All seats in the bus were occupied and four persons are standing.At the next stop, 12 persons got off and three persons got in. How many seats are vacant after has seated?

Q: A student downloaded 4 music files to a portable music player. in how many different orders can the…

A: If you like the solution then please give it a thumbs up.. The Answer is:       Different Orders =…

Q: A stadium has 250 people in it at noon. If 35 people per minute enter the stadium, how many are in…

A: Number of people at noon, or in terms of  slope intercept form, y intercept=250 Rate at which people…

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

A:

Q: How many license plates consisting of three letters followed by three digits contain no letter or…

A: Here we have to find  out the combination of licence plate where repetition  of  letters and digits…

Q: There are 90 people consisting of 45 married couples, assuming that no husband or wife shakes the…

A: Given, 45 married couple=90 people Number of handshakes if no  husband or wife shakes the others…

Q: Motors Inc. manufactured 325 cars with automatic transmissions, 216 with power steering, and 89with…

A: We have given,

Q: A school staff meeting had 25 teachers in attendance, 84% of whom were first-year teachers. How many…

A: Solution: Given information: n= 25  total number of  teachers in the meeting. p=84100= 0.84…

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: The University of Montana ski team has fifteen entrants in a men's downhill ski event. The coach…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: A survey was done on a college campus to determine how many students owned a cell phone. Of the 140…

A: Given information: It is given that the total number of students surveyed is 140. Calculation: The…

Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a…

A:

Q: In the UTAS-Ibri with 1000 students, 392 students are taking a course in Mathematics, 498 are taking…

A: Given - In the UTAS-lbri with 1000 students , 392 students are taking a course in Mathematics, 498…

Q: 1) Laura found 32 plates that each had % of a pie. If Laura put all the pieces of pie into whole…

A: I supposed to do first question as our company guideline. Please repost other question as next…

Q: Ms. Goodman has 18 students in her first-grade class. In how many ways can 4 students be picked to…

A: We will use combination metod for solving this question.

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: Nine runners are entered in a 100 meter dash for which a gold, silver , and bronze medal will be…

A: Given that the number of runners in the 100 meter dash is 9. The runner finishing in the first place…

Q: If 15 people all shake hands with each other, how many handshakes are there?

A: Number of handshakes = 15C2

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: The number of ways to arrange r objects selected from n distinct objects is given by permutation.…

Q: There are 384 students who are enrolled in an introductory biology course. If there are nine boys to…

A: It is given that total number of students are 384.

Q: At an appliance store’s grand-opening sale, 152 customers bought a washer or a dryer. Looking at the…

A: Here we have to find the number of customers who bought only washer. The solution is following .

Q: 60% of Ms. Howard's class ordered a hot lunch from the cafeteria. If 15 students ordered a hot…

A: Que Ans: Given          60% of Ms. Howards class ordered hot lunch,         15 students ordered hot…

Q: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

A: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

Q: For a particular event, 673 tickets were sold for a total of $5103. If students paid $6 per ticket…

A:

Q: Of 100 employees of a store located in downtown Boston, 36 people take the subway to work, 24 take…

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: The Student Council at a certain school has 11 members. Out of those members, a committee consisting…

A: Given information: The student council at a certain school has 11 members. From the 11 members, a…

Q: A teacher must pick 3 high school students from a class of 30 to prepare and serve food at the…

A: Suppose , we have n items. Then, the number of ways we can choose r number of items from n items…

Q: The public library has volunteers shelve books after they have been returned. When Lisa arrives to…

A: We are given that there are 5 non-fiction books for every 9 fiction books. Now, we are asked the…

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: a card store received a shipment of 12 cartoons of sports cards . Each cartoon contains 20…

A:

Q: or a particular event, 697 tickets were sold for a total of $5250. If students paid $6 per ticket…

A:

Q: Out of 300 people who entered a bicycle race, 90% of them carried a water bottle with them during…

A:

Q: A school staff meeting had 25 teachers in attendance, 84% of whom were first-year teachers. How many…

A: Given,no.of teachers in the meeting=25and 84% of whom were first year teachers.

Q: Erin invited three couples to watch a theater musical sponsored by my husband. If the 6 VIP seats…

A: There are total three couples.

Q: If 120 more people showed up to Shakespeare in the Park than are here now, there would be 9 times as…

A:

Q: out of forty students in a class, 14 are taking english and 29 are taking chemistry. five students…

A: The answer is given as follows :

Q: Nine athletes from a co-ed track team stop for lunch. The men eat four pieces of pizza each, the…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: attend

A: Suppose, 100x students attend the college. So, 56% students are from in-state implies, the number of…

Q: There are 364 first grade student in park elementary school if there are 26 girls than boys, how…

A:

Q: There are 80 seats in the theatre. If 20% of the seats are occupied, how many seats remain…

A: To find number of seats remain unoccupied in the theatre

Q: There are 94 people in a​ room, half of whom​ don't speak to the other half. Assume that if they​…

A: Given: Number of people in a room = 94

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

A: Simple calculation

Q: Of the 600 people at a music festival, 420 had attended the previous year. How many people out of…

A: Assume x = no. out of 100 Given that 420 people out of 600 attended festival last year

Q: he BMCC web-design club has 40 members. a. In how many different ways can it select a group of 4…

A: Given Data: The number of members in the web-design club is: n=40 The number of members to be…

Q: A movie rental store gives free popcorn to every 40th customer and a free movie rental to every…

A: Free popcorn to 40th customer and free movie rental to 45th customer. We have to find which customer…

Q: In a group of 65 ice cream lovers, 45 like Cherry Garcia, 34 like Chocolate Therapy and 18 like…

A:

Q: Out of 100 Californian children that had a dental exam, 75 had cavities. Of the 80 Northern…

A:

Q: A contractor has three styles of homes, each with three styles of garages, two styles of decks, and…

A: Answer: First we need to list all the possible selections and the number of choices that each…

Q: In a birthday party, each person shakes hand with every other person. If there was a total of 36…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.