Statistics - math word problems - page 29 of 44
Number of problems found: 878
- Cleaning 27663
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
- 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?
- Report card
Ivor hit 4× grade 5 at the beginning of the school year. How many times must you now catch grade 1 to get grade 2 on the report card?
- Probability 81685
There are 49 products in the box, of which only 6 are good. We will randomly draw 6 products from them. What is the probability that at least four of the products drawn are good?
- Seeds
The germination of seeds of a certain species of carrot is 96%. What is the probability that at least 25 seeds out of 30 will germinate?
- Center of line segment
Calculate the distance of point X [1,3] from the center of the line segment x = 2-6t, y = 1-4t; t is from interval <0,1>.
- Three pumps
The water tank is emptied with the first pump in 6 hours and with the second pump in 2 hours. All three pumps had to be started at once to be emptied in 1 hour. How long will it take to empty the tank with only the third pump?
- Probability 80857
During the exam, the student answers 4 questions out of 25. He is ready for 20 of them. Find the probability that he draws exactly one that he does not know.
- Alopecia
Medical literature indicates that 45% of men suffer from alopecia. For a random sample of 8 men, calculate the probability that: (a) exactly four men suffer from alopecia. (b) at most, two men suffer from alopecia.
- Fertilizer mixture
A fruit company uses two types of fertilizers in an orange grove, brand A and brand B. each bag of brand A contains 8 pounds of nitrogen and 4 pounds of phosphoric acid. Each bag of brand B contains 7 pounds of nitrogen and 6 pounds of phosphoric acid. Th
- 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,
- Two brothers
Two brothers want to collect 20 kg of chestnuts. If only Marek collected, he would make it in 30 minutes. It would take Milan 10 minutes longer. How long after Mark does Milan have to start collecting to be finished in 18 minutes?
- Two pumps together
The first pump will fill the tank itself in 3 hours and the second one in 6 hours. How many hours will the tank be full if both pumps are worked simultaneously?
- 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
- Princesses
Princesses Anna and Elsa are picking strawberries, which have ripened in huge quantities after a long winter. Anna can pick one bed in 120 minutes, and Elsa is faster and can finish an equally large bed in 15 minutes. How many minutes would it take the ro
- Three pumps
We are filling the pool. The pool would fill the first pump in 12 hours and the second in 15 hours. If all three pumps ran simultaneously, they would fill the pool for 4 hours. How long would the pool fill only with the third pump?
- In and out
The empty tank is filled in 12 minutes and empty in 16 minutes. If we forget to close the drain, how long does it take to fill? The tank has 1000 liters of volume.
- Dried fruit
The manufacturer produces a mixture of dried fruit. He purchased: 10kg pineapple for 200 Kc/kg 2kg papaya for 180 kc/kg 1kg of banana for 400 Kc/kg How many kgs of raisin for 80 Kc/kg must be put into the mix by the manufacturer so that the production pri
- Probability of failures
The probability of failure in specific productions is 0.01. Calculate the likelihood of more than one failure among the 100 selected products if we return them to the file after the check.
- Infinite speed
A runner runs her first lap of the track at an average speed of 5 km/h. How fast must she run her second lap so that her total average speed is 10 km/h?
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