Harmonic mean - practice problemsDirection: Solve each problem carefully and show your solution in each item.
Number of problems found: 156
- Harmonic HM example
Find the harmonic mean of 4 and 8.
- Harmonic 4
Find the harmonic mean of -6 and 5.
- Harmonic mean
Harmonic means of 6 and 12
- HP - harmonic progression
Determine the 10th term of the harmonic progression 6,4,3,…
- Insert 5
Insert five harmonic means between 1/2 and 1/26
- Insert 7
Insert five harmonic means between 3 and 18
- Insert 6
Insert four harmonic means between 3/7 and 3/19
- Harmonic series
Insert four members between 5/3 and 5/11 to form harmonic series (means).
What is the reciprocal of the sum of the reciprocals of 7 and 6?
- HP - harmonic progression 2
Compute the 16th term of the HP if the 6th and 11th terms of the harmonic progression are 10 and 18, respectively.
- Triangle 8320
Is there a triangle with heights of 4, 7, and 10 meters?
- Together 4511
One tractor would sow the field in 3 hours and the other in 7 hours. How long before the fields grow together?
- Harmonic mean
If x, y, and z form a harmonic progression, y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5.
- A frequency
A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2,14,13,8, and 1, respectively. Using percentages, what are the relative frequencies of the five classes?
- Together 28411
Worker A will dig a trench in 12 days. Worker B will dig a trench in 18 days. How many days will it take them together?
- Average speed
The car drove from city A to city B at 40 km/h and back to city A at a speed of 80 km/h. What was the average speed of the car?
- Weighted harmonic average
Ten workers will do some work in 2 minutes, five in 10 minutes, and three in 6 minutes. How many minutes per average worker per worker?
Carpenters 1 and 2 spend ten days and five days respectively to make one table. The first carpenter and 30 made 50 tables by the second. What is the average time spent on the products?
- Working together
One worker performs work in 3 days, the second in 5 days. How much do they work together?
Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together?