Examples for secondary school students - page 33 of 237
Number of problems found: 4730
- Tower elevation angles
Find the height of the tower when the geodetic measured two angles of elevation α=34° 30'' and β=41°. The distance between places AB is 14 meters. - Garden centre
A garden centre sells seedlings of not yet bloomed roses. From long-term experience it is known that 91% of these seedlings bloom red, but the remaining seedlings do not bloom at all. The average lifespan of a seedling is 36 hours. The roses are sold in b - Certain
A certain product can be produced by two technological procedures. The probability of first-class quality in the first procedure is 0.68, in the second 0.4. All products are stored together. By the first procedure we produce 1.5x more products than by the - 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. - Triangle similarity area
Triangle ABC and triangle ADE are similar. Calculate in square centimeters the area of triangle ABC if the length of side DE is 12 cm, the length of side BC is 16 cm, and the area of triangle ADE is 27 cm². - Exam question probability
During the exam, the student takes 3 questions out of 30. He is ready for 20 of them. Find the probability that he draws at most 2 that he knows. - Exam question probability 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.
- 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?
- Probability - coin toss
A coin is tossed 24 times. Find the probability of getting 16 heads. (The probability of getting a head is 0.5) - Three cartridges - shooting A shooter has three cartridges. He decided that he would shoot at the target until he hits for the first time. The probability of a hit at each shot is 0.6. The random variable X gives the number of cartridges fired. a) Write the probability distribution
- Rice - packaging line
An automatic machine weighs rice into packages on a packaging line. Suppose that the mass of rice in a package is a random variable which has a normal probability distribution with mean value (Greek letter Mu) = 500 g and standard deviation (Greek letter - Rail temperature expansion
How does the rail lengthen when the temperature changes from -30 °C to 30 °C if it is 25 m long at 0 °C? The temperature coefficient of longitudinal expansion is 12.10na-6Kna-1. - Tatra sand transport
Three Tatras transported 22.2 tons of sand. The second Tatra transported 20% more than the first, and the third Tatra 25% more than the second. How much did each Tatra take? - Drug effectiveness probability
According to clinical studies, the effectiveness of the drug is 90%. The doctor prescribed the medicine to eight patients. What is the probability that the drug will be effective in all these patients? - Seed germination probability The manufacturer indicates that the germination rate of the pepper seeds is 68%. What is the probability that a) out of ten seeds sown, at least 8 will germinate? b) will at most 3 sprouts out of ten seeds be sown?
- Trapezoid roof
The house's roof is a trapezoid of the same name, with 85 tiles at the ridge and 100 tiles at the bottom. There is always one more tiles in each row than the previous one. How many tiles do I need for the entire roof? - Triangle arithmetic sides
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides. - Tablet laptop price
The school bought 20 tablets and 15 laptops for the students for a total of exactly €6,000. Calculate the amount of one tablet and the price of a laptop if the tablet was €50 cheaper than the laptop. - Kerosene pressure difference
Kerosene (ρ1 = 830 kg . m-3) flows through the pipe. Calculate the pressure difference in the given sections when the mercury level difference (ρ2 = 13600 kg . m-3) in the mercury differential manometer is h = 2.2 dm. - Water pressure depth
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure.
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