Four typists take 15, 10, 6 and 5 minutes respectively to type a letter. Determine the average time required to type a letter if (i) Four letters are to be typed by each typist (ii) Each typist works for two hours.

Q: A business with 150 workers pays 113 employees P45.50 per hour and 37 employees P51.25 per hour.…

A: Given  n=113, X1=45.5, n=37, X2=51.25  We want to calculate average.

Q: In the freshmen class, 62% of the students take Math, 49% take Science, and 38% take both Science…

A: It is given that, P(Math) =62%=0.62 P(Science) =49%=0.49 P(Math and Science) =38%=0.38

Q: A middle school took all of its 6th-grade students on a field trip to see a ballet at a theater that…

A: Given that there are total 3840 seats. The students left 2496 seats vacant. This means the students…

Q: The average number of field mice per acre in a 7-acre wheat field is estimated to be 13.

A: Poisson distribution: A random variable X is said to have a Poisson distribution with a parameter λ…

Q: For a school field trip 237 students traveled in four busses and one minibus which had 17 students…

A:

Q: Find the number of ways to distribute 12 people into 3 classrooms, empty classrooms are allowed.

A: Find the number of ways to distribute 12 people into 3 classrooms, empty classrooms are allowed.

Q: 6. How many posts does it take to support a straight fence 200 yards long if a post is placed every…

A: Given: The length of the fence is 200 yard The post is at a difference of 20 yards.

Q: An airline charges $25 for the first bag, $35 for the second bag  54% have no checked baggage,…

A:

Q: Emma’s 100-meter dash time is ranked at the 96thpercentile among all highschool sprinters in the…

A: We have to find Emma's rank.

Q: The class consist of 50 students of which 35 are boys and remaining are girls. The average marks of…

A: Given that, Total =50 No.of boys =35 No.of girls=15 Average marks .of boys =45 Average marks .of…

Q: A bin contains 120 ears of white corn and yellow corn. Of these, 78 ears are yellow. What percent of…

A: We are given that a bin contains 120 ears of white corn and yellow corn. Of these, 78 ears are…

Q: A car travels 20 kilometers per hour faster than a second car. The first car covers 180 kilometers…

A: let the time spend in tavel is t hoursif the speed of car 1 is S1aand speed of car 2 is S2 then…

Q: Average exit speed is 96mph. Player number 5 was selected

A:

Q: total of $470, how many of the tickets were adult tickets and how many were sold to kids under 12?

A:

Q: There were 3-wheel ATV’s and 4-wheel ATV’s at the fall of road exhibition. Justin counted a total of…

A: Make linear equations in two variables accordingly to the question.

Q: one month, two search engines were used to conduct a totoal of 3.85 billion online searches. Search…

A: Given, two search engines were used to conduct a total of 3.85 billion online searches and search…

Q: A teacher attaches 2 to quiz, 3 to midterm and 5 for final exam. If a student gets 90, 50 and 60 for…

A: As per our guidelines, we are allowed to answer first question only. Thanks 1) A teacher attaches 2…

Q: A hair dryer has 3 settings for heat and 2 settings for fan speed. Find the number of possible…

A: Solution According to guidelines we solve only first

Q: John's family has an average income of $5000 from 7 members namely: 2 members earning $3750 each, 3…

A: We have given that John’s family has an average income of $5000 from 7 members.

Q: Suppose that the ratio of males to females in the sales field of a large company is 4:5.   If there…

A: From the provided information, Ratio of males to females = 4:5 Therefore, there are 4x: 5x males to…

Q: A Law office has 20 files awaiting transcription. The legal secretary has been able to complete 2…

A:

Q: Find the number of ways to distribute 24 identical pencils to 12 people, some people may not get any…

A:

Q: Is the total for 100 throws closer to ½ heads and ½ tails than that for 10 throws

A: The theoretical probability of getting a head (or a tail) in flipping a coin is 1/2. As the number…

Q: If 210 workers can build a bridge in 17 months, how many workers (working at the same rate) would be…

A:

Q: At a class, 40% are sophomores, and 50% of the students like fencing. Of the students that like…

A:

Q: Determine how many bags of popcorn should be produced per hour by each worker. Show how this is…

A:

Q: 7 workers can make 210 pairs of cup in 6 days. How many workers are required to make 450 pairs of…

A: Given, 7 workers can make 210 pairs of cup in 6 days.Therefore, Number of cups made by one worker…

Q: At a class, 80% are female and 40% of the students like swim. Of the students that like swim, 60%…

A:

Q: 34% of students write 2-page essay, 23% write 1-page essay, 4% write 4-page essay, and 39% write…

A: 34% write 2-page essay, 23% write 1-page essay, 4% write 4-page essay, and 39% write 3-page essay…

Q: Which amount of time is greater for the average person, the total time spent on his/her cell phone…

A: Total amount spent of his/her cellphone is greater.

Q: The number of employees hired in different co.psnies are  36 , 60 , 71, 91 , 16 ,61  Find the mid…

A: Measure of central tendency measures the central or average value of a dataset. Measured of…

Q: find the least amount of fencing materials needed.

A: Let x and y be the length and breadth of rectangular field respectively. Let A be the area of the…

Q: Eight part-time workers at an airline catering facility prepared 2,010 meals in 6 hours. What is…

A: Given, Eight part-time workers at an airline catering facility prepared 2,010 meals in 6 hours.

Q: In a city of 45,000 homes, a survey was taken to determine the number with Wi-Fi access. Of the 500…

A: Here in a city there are 45000 homes  i.e. N = 45000 500 homes are surveyed, 300 had wifi access…

Q: A basketball team sells tickets that cost $10, $20, or, for VIP seats. $30. The team has sold 3319…

A: Total number of tickets sold = 3319 Let the number of $10 tickets sold = x The number of $20 tickets…

Q: Of 8 pups, there are more girls than boys. How many girl pups are there?

A: Let there are x number of girls and y number of boys. and there are total 8 pups, so x + y = 8…

Q: A bin contains 120 ears of white corn and yellow corn. Of these, 78 ears are yellow. What percent of…

A: The bin contains  Total number of ears of com = 120 Yellow ears = 78

Q: A survey found that 31% of Americans watch the fireworks on the 4th of July from their TV. If 20…

A:

Q: The enrollment of students in evening classes at a local university decreased by  8% between two…

A: Given: Decrease of students between two years is 8%. Total number of students after two years is…

Q: A shipment of 270 cell phones and radar detectors were destroyed in a truck accident. On the…

A:

Q: A business serves 33 customers with 60 staff to maintain a strong ratio of staff to guests. How…

A:

Q: Mr.Mitchell does 100 sit-ups every morning. How many sit-ups will he do in 9 days?

A: Given: Number of sit-ups done by Mr.Mitchell every morning is 100. To find: Number of sit-ups will…

Q: In a company, 22% of the workforce are in sales, 56% of the workforce are male and 65% of the…

A: Probability is defined as a number between 0 and 1 representing the likelihood of an event…

Q: A city currently has 125 streetlights. As part of a urban renewal program, the city council has…

A: Solution-: Given: A city currently has 125 streetlights. The city council has decided to install 2…

Q: Five people each working 8 hours a day, can assemble 400 toys in a 5-day work week. What is the…

A: The amount per day can be calculated by dividing the total amount by the number of days. Similarly,…

Q: If there are 104 participants in the math camp and the ratio of the number of men to women is 5:3.…

A: Ratio of x to y represented by x:y and x:y=xy and similarly y:x=yx . Suppose x:y=4:3 which imply…

Q: Australia has a coastline of 25760km and Canada has a coastline of 202080km which country has a long…

A: Given that the Australia has a coastline of 25760 km and Canada has a coastline of 202080 km. We…

Q: If 6units get 50% and 50units get 25%, how much percentage does 27 get?

A: If 6units get 50% and 50units get 25%, how much percentage does 27 get?

Q: When 6 boys were admitted & 6 girls left the percentage of boys increased from 60% to 75%. Find…

A: Find original number of boys and girls.