Harmonic mean - math word problems

Number of problems found: 104

  • Harmonic mean
    means_math 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
    mean_normal_1 Harmonic mean of -6 and 5.
  • Harmonic mean
    sequence_geo Harmonic means of 6 and 12
  • Harmonic HM example
    mean_normal_1 Harmonic means of 4 and 8.
  • Harmonic series
    mean_normal Insert four members between 5/3 and 5/11 to form harmonic series (means).
  • HP - harmonic progression
    exp_growth_1 Determine the 10th term of the harmonic progression 6,4,3,…
  • HP - harmonic progression 2
    seq Compute the 16th term of the HP if the 6th and 11th term of the harmonic progression are 10 and 18 respectively.
  • Harmonic and arithmetic means
    Plot_harmonic_mean 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
  • Insert 5
    sequence_geo_1 Insert five harmonic means between 1/2 and 1/26
  • Insert 6
    seq Insert four harmonic means between 3/7 and 3/19
  • Insert 7
    seq_1 Insert five harmonic means between 3 and 18
  • HP - harmonic progression
    sequence_geo_1 Determine the 8th term of the harmonic progression 2, 4/3, 1,…
  • Harmonic oscillator
    kmity Calculate the total energy of a body performing a harmonic oscillating motion if its mass is 200 g, the amplitude of the deflection is 2 cm and the frequency is 5 Hz. Round the result to 3 decimal places.
  • Average speed
    truck 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
  • See harmonics
    HarmonicMean 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.
  • Weighted harmonic average
    workers_3 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?
  • Annual income
    income The annual incomes (in thousands of $) of fifteen families is: 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200 Calculate harmonic and geometric mean.
  • Reciprocal
    rec_gamma What is the reciprocal of the sum of the reciprocals of 4 and 9?
  • Working together
    workers_49 One worker performs work in 3 days, the second in 5 days. How much do they work together?
  • Flowerbed
    flowers_9 Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together?

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