(10) One clerk can issue all advance mail-order tickets for an event in 30 days. An addition clerk is hired. Together they complete the job in 20 days. In how many days could the second clerk have done the job alone?

Q: In a cohort of 46 graduating students, there are 5 different prizes to be awarded. If no student can…

A: A Permutation is the choice of r things from a set of n things without replacement and where the…

Q: Three married couples are to be seated in a row having six seats in a cinema hall. If spouses are to…

A: Three married couples are to be seated in a row having six seats in a cinema hall. We have three…

Q: On a game show, a secret 4-digit number is formed using the digits 1, 2, 3 and 4, with repetition…

A:

Q: If I have 3,493 points, right now, and I get 320 points every day, and I want to get 27,650 points,…

A: We have to find number of months to achieve 27650 points.

Q: A student needs 6 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for the number of n combinations taken r at a time is given by Crn=n!r!n-r!.

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: If a person is dealt 13 cards from an ordinary deck of 52 playing cards several times, how many…

A: Given : n = 13 p = 0.25 q = 0.75

Q: 3. Suppose an amount of money is invested at 8% per year. An additional amount of money equal to…

A:

Q: In your school, 40% of students watch TV at night. You randomly ask 5 students every day if they…

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Q: A car insurance company claims that 92% of its customers are happy with their service. You randomly…

A: Given,   The sample proportion is,

Q: A person is 4 years old and his sister is half his age, so if this person is a hundred years old,…

A: Given: Age of the person = 4 years Age of the sister = 2 years (half of that of person's age)…

Q: 3. A box contains 60 yellow marbles, 110 blue marbles and 90 green marbles. If you pick one marble…

A:

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: If you receive, on the average, 5 email messages per day, in how many days out of a 365-day year…

A: Poisson density function is given by :  Pn=μnn!·e-μ                              (1) The average is…

Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: one family has comfortable children, with four daughters and two sons from a village of 1000 houses,…

A: As per given by the question, one family has comfortable children's with four daughter and two son…

Q: The average age of a group of students is 12 years old. There are only 11-year- olds and 14-year…

A:

Q: A man has time to play roulette 5 times. He wins or loses $ 1000 in every game. The man starts with…

A: Given information: Wins or loses per game = $1000

Q: library has an average of 510 visitors on Sunday and 240 on other days. The average number of…

A:

Q: A small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits 0 to 9 How many…

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Q: Lets suppose that for the month of December, company A's stock decreased from $42 to $37 per share…

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Q: Only 30% of teams beat The Great Escape Challenge. If 15 teams beat the challenge, how many teams…

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Q: mr smith waters one of his plants every 10 days and another plant every 14 days. if he waters both…

A: Given, Mr. Smith waters one of his plants every 10 days and another plant ever 14 days. he waters…

Q: If a person is dealt 13 cards from an ordinary deck of 52 playing cards several times, how many…

A:

Q: According to​ statistics, a person will devote 30 years to sleeping and watching TV. The number of…

A:

Q: miner finally struck gold, taking 1 oz. of gold the first week, 2 oz. the second week, and 4 the…

A: Given query is to find the amount of gold taken out in 10th week.

Q: 1. In a class experiment, Miguel rolls one ordinary 6-sided die repeatedly. Keeping track of each…

A: Given,  *Six sided die is rolled repeatedly. *He decides to stop rolling as soon as one number{i.e…

Q: A small combination lock on a suitcase has 3​wheels, each labeled with the 10 digits 0 to 9. How…

A:

Q: Suppose that there are 8000 students in a college and 400 students had contracted the flu at the…

A: 1st we have to make a differential equation for number of students get  contracted and the have to…

Q: Suppose an ant hill in your backyard currently houses 2,564 ants. a) If the next week the ant…

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

Q: After being convited of a crime you are sentenced to 300 consecutive days in Cleveland. If you begin…

A: solution of the problem is given below...

Q: Suppose you take a new job, and the boss offers you a choice between: A) $4000 for your first year…

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Q: If a boy saved 25 on the 1st day, 27 on the 2nd day, 29 on the third day, and so on, how many days…

A: It is given that saving on the first day 25 on second day 27 and on the third day 29. it means…

Q: Three married couples have purchased tickets for a play. Spouses are to be seated next to each…

A: Given :  Three married couples purchased tickets.                 To find  :  How…

Q: An electronic games manufacturer producing a new product estimates the annual sales to be 8000…

A: An electronic games manufacturer producing a new product estimates the annual sales to be 8000…

Q: 2. In a basketball league consisting of 10 teams, each team plays each of the other teams exactly…

A:

Q: A traveling agent has to visit four cities, each of them five times. In how many different ways can…

A: There are 205! 5! 5! 5!ways to visit 4 cities, each of them 5 times.

Q: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

A:

Q: Two persons are to run a race, but one can run 11 meters per second, whereas the other can run 6…

A: Topic:- algebra

Q: A team of 24 workers was on a job that will finished in 70 days. 10 more workers were hired on the…

A: Given that a team of 24 workers will finish a job in 70 days. so 1 worker in 1 day will finish…

Q: In a population of 200,000 people, 40,000 are infected with a virus. After a person becomes infected…

A: The matrix of transition probability is Let the state vector be

Q: A contractor has a job which should be completed in 100 days. At present, he has 80 men on the job…

A: The amount of work done can be calculated by adding all work. Calculate the work done per day by…

Q: A customer has paid a net amount of P21, 375 on all items he purchased in a store. If he was given a…

A: The objective is to find the selling price of the items he bought.

Q: 2. In a basketball league consisting of 10 teams, each team play each of the other teams exactly…

A: Given information: Total teams=10 Each team of the other teams exactly three times.

Q: 20) Show that the sum of two consecutive integers is always odd.

A: Let x be any integer. Then its consecutive integer can be written as x+1.

Q: A student needs eight more classes to graduate. If she has met the prerequisites for all the…

A: Given ,A student needs 8 more classes to graduate.

Q: In a group of 10 workers, the wage of the lowest paid worker is Dollar 25 less than the average wage…

A: From the given information, There is a group of 10 workers. That is, n=10 The wage of the lowest…

Q: A sales person has a goal of averaging $2000 worth of sales per day.  During the first four days of…

A:

Q: A student is to answer 10 out of 13 questions on an exam. (i) How many if he must answer exactly 3…

A: It is an important part of statistics . It is widely used .

Statements and Logic

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