Harmonic mean - practice problems - page 2 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 171
- Developed 64664
The cyclist in the 1st stage covered 70 km at a speed of 22.1 km/h. In the 2nd stage, he covered 40 km (a total of 110 km), and his average speed increased to 22.9 km/h. What an average speed he developed in the 2nd stage. - Pentagon
The signboard has the shape of a pentagon ABCDE, in which line BC is perpendicular to line AB, and EA is perpendicular to line AB. Point P is the heel of the vertical starting from point D on line AB. | AP | = | PB |, | BC | = | EA | = 6dm, | PD | = 8.4dm - 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? - Blueberries 48771
Mirka picks up a bucket of blueberries in two hours. Lojzo fills one-third of the bucket every hour. How long would it take to fill one bucket together to the brim? - Assemblers 47483
Two assemblers with the same daily output were to complete the assembly in 12 days. After 4 days, one of them got sick, and the other finished the assembly in another 16 days. How long would it take everyone to do the assembly by themselves? - Average speed
The car drove on one section of the highway for half an hour at a speed of 80 km/h. Then he reduced his speed to 60km/h. It went three-quarters of an hour at a speed of 60 km/h. What was the average speed of the car? - Treatment 46571
They have 3 sprayers for the chemical treatment of the vines. The first would spray the vineyard in 12 hours, the second in 15 hours, and the third in 10 hours. How long would it take to spray the vineyard with all the sprayers combined? - Workshops
The plant has three workshops. In the first workshop, produce five products/hour. In the second 8 products/hour, and in the third, seven products/hour. In the first workshop, they produced 240 products. In the second 400 and the third 350 products. Find t - Two cables
On a flat plain, two columns are erected vertically upwards. One is 7 m high, and the other 4 m. Cables are stretched between the top of one column and the foot of the other column. At what height will the cables cross? Assume that the cables do not sag. - Truncated 43851
The pit has the shape of a regular truncated 4-sided pyramid, the base edges of which are 14m, 10m, and the depth is 6m. Calculate how many m³ of soil were removed when we dug this pit. - Solution 42531
What strong solution is created by mixing 3 liters of 30% solution and 2 liters of 70% solution? - Tributaries 40641
We would fill the water tank with one inflow in 3 hours and the other inflow in 2 hours. How long will it take for both tributaries to open? - 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? - Statistical survey
Write TRUE OR FALSE for each question: 1 Standard deviation measures central location. 2. The most frequent observation in a data set is known as the mode. 3 The most passive method of data collection is observation. 4 Access time for secondary data is sh - Warehouse 36811
At the Prague Zoo, they need to know how long the fruit will last for the gorillas. The stock in the warehouse would last the female Kamba for 25 days, the male Richard for 20 days, and the little Nura even for 40 days. How long will the supply last if ev - 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? - 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. - Harmonic series
Insert four members between 5/3 and 5/11 to form harmonic series (means). - Insert 7
Insert five harmonic means between 3 and 18 - Insert four
Insert four harmonic means between 3/7 and 3/19
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