Statistics - math word problems - page 32 of 44
Number of problems found: 873
- Insert four
Insert four harmonic means between 3/7 and 3/19
- 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
- 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!
- 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
- Blueberries
Marie earns 2.2 liters of blueberries for 1 hours, and Peter 2.5 liters for 1.5 hours. How long do they pick one liter together?
- Dice
We threw ten times playing dice. What is the probability that the six will fall exactly four times?
- 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?
- Painters
The first team of painters would paint the bridge in 15 days, the second in 10 days. After three days of working together, the second team goes out and continues only with the first team. How many days took the second team to finish painting the bridge?
- Two valves
Water fills the pool with two valves for 11 days. After 7 days, the workers stopped the first and second valve fill pool for 7 days. How many days did it take to fill the pool of each of the valves individually?
- 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?
- Independently 3874
Josef would do the work himself in 5 hours. Josef and Michal would do the work together in 3.5 hours. Determine how long it would take Michal to do the job independently.
- 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?
- Harmonic mean
Harmonic means of 6 and 12
- Companies 82884
The K+S company will mow the meadow in ten hours. The Kosačka company mows the meadow in six hours. How many hours would these companies mow one such meadow if they worked together?
- Collection of candies
We mixed two types of candies into the collection. The first species is for 36 CZK per 1 kg, and the second species is for 54 CZK per 1 kg. What was the price of one kg of a mixture?
- Probability 37381
The machine produces one part in 2 minutes. The probability that it is defective is 0.05. What probability will the machine produce exactly ten defective parts per shift (8 hours)?
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