Examples for secondary school students - page 47 of 230
Number of problems found: 4597
- Power during takeoff
The aircraft weighing 3.5 tons will disembark 1 km in 1 minute after takeoff and reach a speed of 290 km/h. Find the average power of its engines during this time. - Three-member 69274
The teacher wants to create one three-member team of four girls and four boys, with one girl and two boys. How many different options does it have to create a team? - Ten points
There are ten arbitrary points in the plane. How many circles can we make from them? - Pump power
Determine the pump power if: I pour 3 m³ of water from the tank in 120 seconds with a hose. The height of the hose mouth above the tank is 1.5 m. The water's speed from the hose outlet is 20 m/s. - Triangle 69144
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - Increasing 69094
The aircraft weighs 61 tons. It climbed from a height of 1000 m to a height of 3000 m while increasing the speed from 170 m/s to 210 m/s. What work did the aircraft engines do? - Power value
Describe how the instantaneous power value in the AC circuit changes during one period. - Non-equivalence
Write the function logical disagreement – entire sum (non-equivalence) F = A ⊕ B (EXL –OR) in a different notation and draw a Karnaugh map. Use NAND elements to implement the above function if you only have variables A and B - Probability
A restaurant always takes an inventory at the cash register at the end of the day so that the employees can divide their tips. It has been found that the daily tips follow a normal distribution with a mean of €130 and a standard deviation of 60. What is t - Other
On other days, I often see two colors in front of my eyes - blue and yellow. I feel sad about what is happening. That is why I have a role for you today about colors. I have 5 markers in my pencil case: blue, yellow, green, red, and purple. How many ways - Social beneficiaries
In a certain community, 52% are SAP beneficiaries, 15% are members of 4Ps, and 8% are both SAP and 4 Ps. If a citizen from the community is an SAP, what is the probability that he is also 4Ps? If that person is not a 4Ps, what is the probability that he i - Susan 2
Susan packed some sugar into small and large packets. The total mass of 4 large packets and three small packets is 43 kg. Each large packet is 2kg heavier than each small packet. What is the mass of a large packet of sugar? - They divided
Jana, Martina, and Zuzka divided the candies in the ratio 3:7:5. Martina received 9 candies less than Jana and Zuzka had together. Which statement is true? A. Martina received fewer candies than Zuzka. B. They all received 135 candies together. C. Martina - Arrangements 68764
We have two identical blue balls and two identical red balls. We arrange them in a row in all ways. How many different arrangements are there? - Different 68754
We have six balls of different colors. We select two balls at once. How many options? - Shortening 68624
The shirt price was reduced by 10% of the original price k. On the other hand, the price of the suit was increased by 5% of the original price p due to the shortening of the legs. Depending on the variables k, and p, express the total cost of the two shir - Probability 68594
What is the probability that any two-digit number a) is divisible by five b) is it not divisible by five? - Probability 68584
There are five whites and nine blacks in the destiny. We will choose three balls at random. What is the probability that a) the selected balls will not be the same color, b) will there be at least two blacks between them? - Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q) - A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)?
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