# Harmonic mean - math problems

#### Number of problems found: 106

- Harmonic mean

If x, y, z form a harmonic progression, then y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5. - Harmonic 4

The harmonic mean of -6 and 5. - Harmonic mean

Harmonic means of 6 and 12 - Harmonic HM example

Harmonic means of 4 and 8. - HP - harmonic progression

Determine the 10th term of the harmonic progression 6,4,3,… - Harmonic series

Insert four members between 5/3 and 5/11 to form harmonic series (means). - HP - harmonic progression 2

Compute the 16th term of the HP if the 6th and 11th term of the harmonic progression are 10 and 18 respectively. - Insert 7

Insert five harmonic means between 3 and 18 - See harmonics

It is true that the size of the central segment of any trapezoid is the harmonic mean size of its bases? Prove it. Central segment crosses the intersection of the diagonals and is parallel to the bases. - Insert 6

Insert four harmonic means between 3/7 and 3/19 - Insert 5

Insert five harmonic means between 1/2 and 1/26 - Harmonic and arithmetic means

The local Utah Department of Child Service office wants to project staffing needs based on current social worker assignments. They have the number of cases per social worker for the following staff: Mary: 25 John: 35 Ted: 15 Lisa: 45 Anna: 20 Calculate: a - Annual income

The annual income (in thousands of $) of fifteen families is 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200. Calculate the harmonic and geometric mean. - Weighted harmonic average

Ten workers will do some work in 2 minutes, five workers in 10 minutes and three workers in 6 minutes. How many minutes per average worker per worker? - Average speed

The truck drove 1/2 of the way on the highway at 80km/h. The other half of the way 20km/h. Calculate the average speed - Reciprocal

What is the reciprocal of the sum of the reciprocals of 4 and 9? - Flowerbed

Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together? - Working together

One worker performs work in 3 days, the second in 5 days. How much do they work together? - Mow the lawn

Dano would mow the lawn in 12 hours and Milada in 16 hours. How long will take the lawn mow together? - Two rooms

Woman cleans the room in 30 minutes a man in 90 minutes. How long will take they clean two rooms?

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