The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80, and the fourth number in the new list is 96. What is the average of this new list of numbers?

Q: 12 cats can kill 12 mice in 12 hours, how many hours will it take for 2020 cats to kill 2020 mice?

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Q: The average age of the members of a country club is 54 years old. If there are ten 36-year-olds,…

A:

Q: From 7 engineers and 4 scientists, how many committees of seven people are possible with 5 engineers…

A:

Q: When four times a number is decreased by 8, the result is 16. What is the number? The number is

A:

Q: When a number in increased by 20%, the result is the same when it is decreased by 10% plus 12. What…

A: Given that, a number is increased by 20% the result is the same when it is decreased by 10% plus 12.…

Q: If the average of six numbers is 4.1, what is the sum of the six numbers?

A: To Determine: If the average of six numbers is 4.1, what is the sum of the six numbers?

Q: Find three positive numbers whose sum is 12 and whose sum of squares is as small as possible

A:

Q: If 5.2% of the 200 million adult Americans are unemployed, how many adult Americans are unemployed?

A: Given that there 5.2% of the 200 million adult Americans are unemployed.   5.2%=0.052

Q: The local newspaper has a letter to the editor from 10 people. if this number represents 2% of all…

A: let the number of readers does the newspaper have = x

Q: The number of people in a group doubles every half an hour. If there are 2 people now, how long…

A: Here given that the number of people in a group doubles every half an hour hence population get 4…

Q: When 18 is subtracted from six times a certain number, the result is − 42.What is the number?

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Q: How many people can be fed with 10 1/2 pizzas if each person is to get 3/8 of a pizza?

A:

Q: product of seven and a number increased by six is 98

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Q: If 28 less than five times a certain number is 232. What is the number?

A:

Q: The average bowling score of the 5-member in Regional High School bowling team is 128. If all the…

A: We have to find

Q: When a number is multiplied by 4 before subtracting from 68, the result obțained is the same as…

A: First of all assume the number to be x and as it is given in the question that 4 is multiplied with…

Q: When a number is decreased by 30% of itself, the result is 126. What is the number? ..... The number…

A:

Q: There are 63 ducks, 27 gooses and an unknown amount of chickens, if 40% of the total number of…

A: First we calculate the number of chickens . To find how many ducks are more than chickens we deduct…

Q: Dan Marino Elementary school has 1400 students, there are two teachers for every 35 students how…

A: We will find the number of teachers at the school in the following step

Q: A patient is permitted 1200 calories per day. If the patient eats 3 3/4 times per day, how many…

A: The patient supposed to eat 1,200 calories per day.

Q: Divide $80 among three people so that the second will have twice as much as the first, and the third…

A: Let A, B and C are the three peoples.It is given that if A has x dollars then B has 2x dollars and…

Q: Find a pair of numbers whose sum and product are both equal to 8.

A:

Q: If 8 workers can finish a job in 14 hours, how many workers will it take to finish the same job in 6…

A:

Q: The simple average of five numbers is 46. If four of these five numbers are 36, 66, 74, and 14, what…

A: Given query is to find unknown fifth number.

Q: How many 2.25-pound containers can you fill with 24.75 pounds of almonds?

A: Find the number of 2.25 pound containers that can be filled with 24.75 pounds of almonds as follows.

Q: A disc jockey has 7 songs that he must play in a half-hour period. In how many different ways can he…

A: He can pick first song in 7 ways Second song in 6 ways Third song in 5 ways and so on.7th song in 1…

Q: Find two numbers whose sum is 9 and their difference is 60.   Smaller- Large number-

A: We have given the - sum of two numbers = 9. difference of two numbers = 60. we have to find the…

Q: When seven times a number is decreased by 9​, the result is 33. What is the​ number?

A: Let the number be 'x' According to question: 7x-9 = 33

Q: Four times a number n is added to nine, the result is forty-nine

A:

Q: When Jaylen started high school, 1, 430 students attended his school. On the day of his graduation,…

A: Starting, NO=1430Now, n =1001

Q: If 118 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $2…

A: Let the number of adults be x and the number of children be y. Then, from the statements we have,…

Q: Find a pair of numbers whose sum and product are both equal to 32.

A: We have to find out a pair of number whose sum and product both are equals to 32. Let these 2…

Q: For week 1 of a weight-loss competition, Team A had three members lose 8 pounds each, two members…

A: In a weight loss competition If three members lose 8 pounds each then effective weight loss will be…

Q: What is the sum of five consecutive odd integers if the middle integers is 71

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Q: 26th most disliked video on YouTube.  If 1% of the people who disliked the video are male former…

A:

Q: When ten is subtracted from the opposite of a number, the differencebetween them is five. What is…

A: Let x be the number.

Q: When a number is decreased by 30% of itself, the result is 28. What is the number?

A: We have to find the number when it is given that when this number is decreased by 30% of itself,the…

Q: If 48 employees at a factory represent 4% of the people employed .calculate the total number of…

A:

Q: The enrollment of students in evening classes at a local university decreased by 2% between two…

A: Let the number of students enrolled in the first year was 100 x.In the second year no of students…

Q: when six times a number is decreased by 4, the result is 8. What is the number?

A: Given query is to find the unknown number.

Q: When a number is decreased by 10% of​ itself, the result is 36. What is the​ number?

A:

Q: When six times a number is decreased by 3​, the result is 45. What is the​number

A: Given, When six times a number is decreased by 3​, the result is 45 We have to find the number.

Q: The top 12% of San Sebastian College’s graduating class made the Dean’s List. If there are 800…

A:

Q: A number plus itself, plus twice itself, plus 4 times itself, is equal to − 104.What is the number?

A:

Q: The sum of three numbers in A.P.is - 3, and their product is 8.Find the numbers,

A:

Q: In a certain year, there were 88 female officials in Congress, which is comprised of the House of…

A: Let x represents the female senators. Since, there were 64 more female members of the house of…

Q: When Jaylen started high school, 1, 430 students attended his school. On the day of his graduation,…

A: Given No of students at the beginning = 1430 No of students at the end = 1001

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.