Statistics - math word problems - page 31 of 44
Number of problems found: 878
- Because of
Due to the large potato harvest this year, the farm bought a new, more powerful sorter in addition to the old one. Now both machines work simultaneously, and therefore the daily harvest is processed in 12 hours. If only the old machine were working, it wo - Fire tank
The whole fire tank was discharged once in 6 days, first out by a second in $n day. Once firefighters pumped out 4/5 of water from the tank, they let the water flow out both drains. How long does it take to empty the tank? - Distribution 73724
The distribution of the random variable X is given in the following table. Calculate P[X is odd], E[X] and P[1<X≤6] Probability distribution table: xi; 1; 2; 3 ; 4; 5; 6; 7; 8; 9 pi; 0.30; 0.12; 0.18; 0.10; 0.07; 0.07; 0.06; 0.05; 0.05 - Half-filled 7336
The water tank is filled with the first inflow in one hour and 10 minutes and the second in 60 minutes. How many minutes will the tank be half-filled with both inlets if the second outlet is opened 12 minutes later? - Calculation 7334
In a computer center, one computer would work 12 hours to solve a task, and another, more powerful, would solve the same task for 10.5 hours. If both computers work together, the calculation time would be reduced for a certain period. Calculate how long i - Simultaneously 2468
Hiker A travels a certain distance in 5 hours and 24 minutes. Hiker B travels the same distance in 6 hours and 45 minutes. After what walking time will they meet if they simultaneously start opposite each other on the same route? (To the route that everyo - Together 5931
The tank will be filled with the first inlet in 5 hours and the second in 12 hours. How long would it take to fill the tank together? - Motorcycle 5561
Determine the average speed of a motorcycle ridden 1/3 of the total ride speed at 30 m/s and 2/3 of the total ride speed at 15 m/s. - Remaining 3195
A cyclist covered a track of 40m in 5s. The first section of the 30m track was covered in 3s; the remaining section was covered in 2s. Specify: a) the average speed of the cyclist on the first section of the track b) the average speed of the cyclist on th - Two painters
Two painters are assigned to finish painting the houses in a housing project. John can finish a house in 4 days, and Kurt painted it in 3 days. How long would it have taken if John and Kurt had worked painting the house together? - Pumping
The tank is filled with a larger pump in 12 hours and with a second pump in 15 hours. For how long does the tank fill when both pumps are switched on at the same time? - The chief
The chief fisherman, Peter, estimates that if he uses four lines, then the probability of making a catch on one line is 0.7. If he uses five lines, then the probability of making a catch on any line is 0.6. If he uses six lines, the probability of making - The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C? - Boots
Master shoemaker has three apprentices. First, do one pair of boots for two days, second for one day, and third for 1.5 days. How long would it take to make a couple of boots if they worked together? - Independently 12921
Factory A can fulfill the order independently in 10 days. Factory B fulfills the same order in 16 days. How many days will the order be completed if only plant B works on it for 3 days and then both plants together? - Developed 64664
In the first stage, the cyclist covered 70 km at a speed of 22.1 km/h. In the second 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 second stage! - Christmas trees
The salesman sold Christmas trees: spruce for € 22, pine for € 25, and fir for € 33. In the morning, he had the same number of spruce, fir, and pine. In the evening, he had all the trees sold for € 3,600. How many trees does the day salesman sell? - Soldier
An experienced soldier digs a good trench in 30 hours. Two soldiers dug the same trench every 40 hours. How many hours will the ditch dig all three together? - 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? - Kilometers 7684
My father went to dig 6 kilometers of beet at 6:00 pm. It would take him 12 hours. After an hour, the son arrived, and they finished digging at 10:00. How long would it take for his son to dig 6 km of beet?
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