Statistics - math word problems - page 31 of 46
Number of problems found: 920
- 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? - Motorcycle speed
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. - Average
What is the average speed of the car, where half of the distance covered passed at a speed of 52 km/h and the other half at 89 km/h? - 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 - Cyclist stage speed
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 overall average speed increased to 22.9 km/h. What average speed did he achieve in the second stage? - Three painters
The three painters have painted bridges. The first would work done in 5 days, the second in 6 days, and the third in 7.5 days. How long will the bridge work if they work together? - Two brothers Two brothers want to collect 20 kg of chestnuts. If only Mark collected, he would make it in 30 minutes. It would take Milo 10 minutes longer. How long after Mark does Milo have to start collecting to be finished in 18 minutes?
- 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. - Profit distribution workers
We have a profit of 40000e, and the work took 30 days. The first worker is promised 38% of the profit but only works for 15 days, the second worker is promised 33% of the profit and works for 20 days, and the third is promised 28% of the profit and works - Bulb lifespan
The probability that the bulb will burn for more than 800 hours is 0.2. There are 3 light bulbs in the hallway. What is the probability that after 800 hours, at least one will be lit? - Phenomenon trial probability
The probability of occurrence of a certain phenomenon is the same in all trials and is equal to 0.7. Attempts are repeated until this phenomenon occurs. What is the probability that we will have to make a fifth trial? - 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. - Product quality
We have three series of products. We select one product for quality control. Determine the probability of finding a low-quality product if the first batch contains 2/3, the second batch 7/9, and the third batch 3/4 quality products. - Workshops
The plant has three workshops. In the first workshop, produce five products/hour. In the second 8 products/hour, and in the third, seven products/hour. In the first workshop, they produced 240 products. In the second 400 and the third 350 products. Find t - 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. - Pond
Workers will empty a pond with two open floodgates in 20 days. A larger floodgate will empty the whole pond in 30 days. For how long would he be emptied with a smaller floodgate? - Cyclist speed
A cyclist covered a track of 40 m in 5 s. The first section of the 30 m track was covered in 3 s; the remaining section was covered in 2 s. Specify: a) the average speed of the cyclist on the first section of the track b) the average speed of the cyclist - 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 - Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - Master 7
A master craftsman and an apprentice are laying tiles on a roof. At the end of the work, they found that the apprentice did only one third of the work and the master did the rest. If the master worked alone, the work would take him 2 hours longer than if
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