Statistics - math word problems - page 34 of 44
Number of problems found: 873
- Frustum of a cone
A reservoir contains 28.54 m³ of water when complete. The diameter of the upper base is 3.5 m, while the lower base is 2.5 m. Find the height if the reservoir is in the form of a frustum of a right circular cone. - Summer tires
Three tire servants must change the summer tires on six cars in 2 hours. Mark's replacement would take 4.5 hours, Jirka would do it in 3 hours and 10 minutes, and Honza in 4 hours. Will they be able to replace all tires at the desired time? - Grass garden
Mr. Grass would mow the garden for 5 hours, and his son Michael could do it for 7 hours. They agreed to wake up at 5 AM and begin to mow together. Ms. Grass needs to drive into town at 8:30. Michael says that at that time, they're done with work. Is he ri - The probability
The probability that a life bulb will have a more than 682 hours lifetime is 0.9788. The probability that a bulb will have a more than 703 hours lifetime is 0.0051. Find the probability that a bulb will last for more than 648 hours. - Binomial probability
What is the binominal probability that at least 4 of the six trials (n=6) are succeeded where φ = 0.50? - Excavators 82208
Two excavators dig a pit in 12 days. How much shorter will this job take if 8 excavators dig the hole? In 3 or 9 days? - The leaves
Karel raked the leaves in the garden alone in 24 minutes, and his younger brother took 30 minutes. How long would they dig a garden if Karel digs alone for 6 minutes and his brother comes to his aid?
- Two rooms
If a woman cleans the room in 30 minutes and a man in 90 minutes, how long will it take them to clean two rooms? - Workers
Two workers would fulfill a certain task when working together for 10 days, the first if he worked himself done work in 17 days. How many days will the second worker do the whole job? - Production 24021
The plant has to complete the order in 40 working days. Production takes place in two workshops. In the first one, there are more workers; therefore, they would complete the order themselves in 70 working days. In the second workshop, they would complete - Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices? - Tanker
The first pump can empty an oil tanker in 4.9 hour, and the second pump can empty a tanker in 8 hours. If the first pump starts at 4:00 and the second starts 1.4 hour later, when will the tanker be empty? - 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? - Water mixing
We mix 2 liters of water at 100 degrees Celsius warm and 18 liters of water at 32 degrees Celsius warm. What temperature will the water have after mixing? - Probability 30421
There are 25 students in the class, 12 of whom are not ready for math. There are five students in the math class. What is the probability of at least 3 being math-ready?
- Pool
If water flows into the pool through two inlets, it will fill for 5 hours. If the first inlet fills the pool 5 hour longer than the second, how long does it take to fill with two inlets separately? - Decoration
Jarka and Jana decided to decorate their common room. If Jarka painted it alone, it would take her 4 hours, and Jane 3 hours. How long would they paint the room if they painted together? - Everyone's 81021
There are 10 students in the drama club. We count everyone's age in whole years. The average age of the girls is 12.25 and the boys 12.5, and the average age of all is 12.3. How many girls and how many boys are there in the class? - Pumps 4912
A pool with one pump fills in 14 hours and the other in 15 hours. How long will the pool fill when both pumps are used? - Probability - dice
I roll six six-sided dice; what is the probability that exactly three threes will fall?
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