Statistics - math word problems - page 30 of 45
Number of problems found: 892
- Vector coordinate calculation
The triangle ABC is given in the plane. A (-3,5), B (2,3), C (-1, -2) write the coordinates of the vectors u, v, w if u = AB, v = AC, and w = BC. Enter the coordinates of the centers of the lines SAB (..), SAC (...), SBC (. ..) - Harmonic mean
Harmonic means of 6 and 12 - Pool drainage calculation
During the pool cleaning, two drains and one inlet were opened. The first outflow would empty the pool in 6 hours, the second outflow would fill it in 9 hours, and the inflow would fill it in 12 hours. How long will it take to empty if the drains are open - 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? - Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5). - Employee sample probability
Out of 3,000 employees of a certain company, 1,800 are men. The management decided that on the occasion of the company's anniversary celebration, it will give special rewards to 10 randomly drawn employees. What is the probability that the sample will be - Probability
In a batch of 500 products, there are 10 rejects. In a statistical inspection, 40 products are checked, which are randomly selected from a batch, and the selection is made without repetition. The batch is considered satisfactory if there is at most one de - The pool
The pool contains 220 m³ of water. Workers can empty the pool either: a) 10 hours of pipe B and 8 hours of pipe A, or b) 10 hours of pipe A and 7 hours of pipe B. How many cubic meters of water will flow in 1 hour from pipe A, and how many from pipe B? - Flying
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable? - Tourist average speed
A tourist moving at the same pace completes a 21-kilometer hike in 4 hours, taking a 30-minute break. Calculate the average speed of tourists. - Average temperature
The following temperatures were measured every 6 hours from 6 to 24 hours: -2.2 C, 2.1 C, 5.4 C, 3.9 C, 0.7 C, -1.9 C, -3.8 C. Calculate the average temperature from 6 to 24 hours. - Cyclist speed
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 Inlets Fill Time
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? - Exam question probability
During the exam, the student takes 3 questions out of 20. He is ready for 14 of them. Find the probability that he draws at least one that he knows. - Basement pump water
After the flood, the Nováks would pump water out of the basement with one pump in 120 minutes, the second in 300 minutes, and the third in 600 minutes. How many minutes will it take them to pump the water out of the basement if they use all the pumps at o - 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? - Two cyclists 2
At the same time, two cyclists left towns A and B at constant speeds. The first one goes from town A to town B, and the second one from town B to town A. At one point during the trip, they met. After they met, the first cyclist arrived at town B in 36min, - Water mixing
We have 520 ml of hot water and 640 ml of water at 48°C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65°C? - Computer task time
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 - Five numbers in ratio
Five integers are in the ratio 1:2:3:4:5. Their arithmetic mean is 12. Determine the smallest of these numbers.
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