Equation + mean - practice problems - page 2 of 11
Number of problems found: 215
- Five-minute 80951
Karel has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one. - Determine 80714
Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the t - Grandchildren 80639
The average age of the grandfather, grandmother, and their five grandchildren is 26 years. The average age of the grandchildren themselves is 7 years. Grandma is a year younger than grandpa. How old is grandma? - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x?
- Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10. - The midpoint 2
Find the value of x if M is the midpoint of PQ, PQ=10x−7, and PM=14. - Score on tests
On the first six tests in his Mathematics subject, his scores were 92, 82, 86, 93, 96, and 91. If he took the seventh test and raised the mean of his scores by exactly one point, what is his score on the 7th test? - Henry
Henry has scored 72, 67, 82, and 79 on his Algebra tests. Use an inequality to find the scores he must take on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two tests. - Six numbers
The average of 6 numbers is 3.95. the average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers?
- Weighted-average
Calculate the weighted-average cost of the following inventory purchases: Date Quantity; Purchased ; Cost per Unit May 4; 33; $12.25 May 11; 41; $13.87 May 29; 37; $11.99 - The scores
The scores of 10 learners in a test arranged in ascending order is 12, 13, 13, a, (a + 3), (52 - 2a), (2a - 8), 23, 23 and 24. If the median mark is 20, find (a) value of a. (b) mean - Carrots and potatoes
Juri is doing his weekly grocery shop and buying carrots and potatoes. He calculates that the average weight of a carrot is 60 g and the average weight of a potato is 125 g. Furthermore, he calculates that the average weight of the carrots and potatoes he - The probability
The probability that a life bulb will have a lifetime of more than 682 hours is 0.9788. The probability that a bulb will have a lifetime of more than 703 hours is 0.0051. Find the probability that a bulb will last for more than 648 hours. - Estimate the mode
A medium-sized asset management firm has 56 fund managers. Each of these managers has its own portfolio. The percentage returns from the managers' portfolios are shown in the table below: Return percentage; Number of managers 0-10; 8 10-20; 18 20-30; 21
- Arithmetic 72544
The arithmetic mean of two numbers is 12. The first number is 5. What is the value of the second number? - Construction 71794
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli - Apartment 71114
A father and son paint the apartment together in 6 hours. My father would paint the apartment in 9 hours. In how many hours would the son paint the apartment himself? - The average 5
The average of the two numbers is 9.5. One of the numbers is 11. What is the value of the other number? - Determine 68804
The basket contains five red apples with an average weight of 125 grams and one yellow apple. The average weight of all apples in a basket is 120 grams. Determine the weight of the yellow apple in grams.
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