In a university examination, 65% of the candidates passed in English, 90% passed in the second language and 60% passed in the optional subjects. Find how many at least should have passed the whole examination.

Q: An appropriations bill passes the U.S. House of Representatives with 59 more members voting in favor…

A:

Q: the state department of transportation decides to change the plates to have three letters followed…

A: Given query is to find how many plates are possible if three latters followed by two digits.

Q: Suppose that a collection of 100 coins (consisting of fifty cent pieces, dimes, and pennies) is…

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

Q: MK Family Orchard has 120 apple trees and 90 pear trees. If each fruit tree produces an average of…

A: Given : The MK Family Orchard has 120 apple trees and 90 pear trees.   each fruit tree produces an…

Q: How many students passed all three exams?

A: here from given information define events and draw venn diagram  student fail in math(algebra) = M…

Q: At a football game, 43% of people attending were supporting the home team, while 57% were supporting…

A: Given query is to find the number of people supporting the home team.

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A:

Q: in a physiology class, a student must dissect three different specimens. The student can select one…

A: This question can be solved using the concept of combination.

Q: s owned at least two. The U.S. Census Bureau tells us that there were 117 million households in…

A:

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 25 pieces. How many different…

A: Solution is given below:

Q: There are 374 students who are enrolled in an introductory geology course. If there are five boys to…

A:

Q: A pianist plans to play 4 pieces at a recital from her repertoire of 27 pieces. How many different…

A: Given problem is from selection method of combination where order doesn't matter .  It's formula is…

Q: As a result of a modernization programme, a firm is able to reduce the size of its workforce by 24%.…

A:

Q: In a school with 300 students, 110 live with their Biological father and 250 live with their…

A:

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 22 pieces. How many different…

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

Q: A recent survey found that 79% of Americans use the Internet. If a city has a population of 76,000,…

A: Population of city, p=76,000 Percentage of population that uses internet is 79%.

Q: How many matches will be required to determine the champion in a single elimination tennis…

A: In single elimination tournament, each match eliminates one player. If all up there are x players,…

Q: An appropriations bill passes the U.S. House of Representatives with 101 more members voting in…

A:

Q: At a competitive examination at which 600 graduates appeared, boys outnumbered girls by 96.

A: It is asked to find the number of boys who qualified for the interview. Let's assume,  N = Total…

Q: If the labour force participation rate is 45%, how many are in the labour force?

A: Labour Force= 40 million * (45/100) =18 million

Q: In the Americas, automobile license plates contain two letters, followed by four digits. How many…

A: Given,no.of letters=26no.of digits(0 to 9)=10

Q: A European food importer, Mateski Products, imports 25% of its vinegars from France, 40% from Italy,…

A: The base amount is the value on which percentage depends. Rate is the percentage rate which has to…

Q: At the beginning of 2002, an ice cream shop claimed to have "nearly 1,050 different ice cream…

A:

Q: Suppose that College A has four-fifths the enrollment of College B. (i) If College B has 2000…

A:

Q: During a week in September 2009, the Nielsen ratings for Family Guy were 8.1/12 which means 8.1 out…

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

Q: A hospital discharged 2,895 patients in January. If 3% developed a hospital-based infection, how…

A: Given, No of patients discharged in January=2895 3% developed a hospital-based infection No of…

Q: The U.S. House of Representatives has 435 members. If an appropriations bill passes the House with…

A: Member in favor =51 more than the member in against, Total members = 435

Q: In a league of nine football teams, each team plays every other team in the league exactly once. How…

A: Given football league consisting of 9 teams, each team play each other team exactly once

Q: A company buys 9 computers, and it plans to connect each pair of computers by a cable (one cable per…

A: Given that there are total 9 computers. They will connect each pair of computers. That means we have…

Q: A pianist plans to play 4 pieces at a recital from her repertoire of 25 pieces. How many different…

A: Given : No. of repertoire pieces = 25 A pianist plans to play 4 pieces i.e n = 4

Q: A survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to the…

A: Given a survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to…

Q: If a basketball player is a 74% free throw shooter, then, on average, how many free throws will he…

A: Necessary conditions for binomial experiment: For each trial, there are only two possible outcomes,…

Q: Total spending in the US on lotteries in 2017 was about $75 billion. Given a US Population of 325…

A: Total spending in the US on lotteries in 2017 was about $75 billion. US Population of 325 million of…

Q: A recent survey reports that 22% of students take the bus to campus. If 660 students commute to…

A:

Q: A librarian noticed that 60% of seventh graders checked out fantasy books. About how many of 240…

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

Q: There are 377 students who are enrolled in an introductory geology course. If there are eight boys…

A:

Q: In a round-robin tennis tournament, every player meets every other player exactly once. How many…

A: let x = number of players Each player plays x-1 matches BUT a vs b is the same as b vs a So the…

Q: Of the shareholders in a service corporation, 56% are women. If 72,820 shareholders are men, how…

A:

Q: As a result of a modernisation programme, a firm can reduce the size of its workforce by 24%. If it…

A: Given: Reduce in work force =24% Number of employee presently =570

Q: A preschool field trip required 7 buses. Thirteen children rode in cars with their parents and the…

A: Given the query is to find the number of students on each bus.

Q: At the beginning of 2002, an ice cream shop claimed to have "nearly 911 different ice cream…

A: Solution

Q: In order to develop a more appealing​ cheeseburger, a franchise uses taste tests with 9 different​…

A: GivenTotal types of buns = 9Total types of Cheeses = 4Total types of Lettuces = 3Total types of…

Q: In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak…

A:

Q: In a recent year, the number of graduate students at the University of Texas at Austin was…

A: At the university of Texas at Austin Given that Number of graduate students = (Number of…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 18 pieces. How many different…

A: Given :  A pianist plans to play 5 pieces at a recital from her repertoire of 18 pieces.  Use…

Q: On a certain test, the average passing score is 72 while the average failing score is 50. If the…

A: Lets say there are 'm' number of students a1, a2,.........am passed the test and 'n' number of…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 20 pieces. How many different…

A:

Q: Twenty percent of anthropology majors were offered a starting salary greater than .

A: Given that  Mean = M = 39269 Standard deviation = SD =2550 X ~ Normal ( M = 39269 , SD = 2550 )

Q: A pianist plans to play 6 pieces at a recital from her repertoire of 26 pieces. How many different…

A: In this case arrangement matters.  So we will use the permutation method.  He has to pick 6 pieces…

Q: On a test, 95% of the questions are answered correctly.  If 57 questions are correct, how many…

A: The aim is to find the number of questions on the test.Here, the number of question answered…

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.