Examples for secondary school students - page 32 of 230
Number of problems found: 4583
- Numbers 80756
The first number is 50% of the second, the second number is 40% of the third, and the third number is 20% of the fourth. The sum of the numbers is 396. Which numbers are these?? - Probability 80723
According to long-term statistics, a biathlete has a shooting success rate of 72%. a) what is the probability that 4 targets will be hit on one item (5 shots). b) what is the probability that fewer than 4 targets are hit on one item (5 shots)? - Determine 80714 Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the t
- Confidence interval
When checking the use-by date of a specific type of canned meat in warehouses of meat industry products, 340 canned goods were randomly selected, and it was found that 63 of them had passed their warranty period. Establish a 95% confidence interval to est - Train 2
A metro train moved between neighboring stations in such a way that it gradually accelerated and in 10 seconds reached a speed of 70 km/h. It then traveled at this speed evenly for 35 seconds. Finally, it slowed down for 15 seconds until it stopped. Draw - EQ2 - symetric results
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2). - Combinations 80637 If the number of elements decreases by 4, the number of combinations of the second class from these elements decreases three times. How many elements are there?
- Acceleration 80626
The car stopped at an initial speed of 90 km/h on a track of 62.5 m. What was its acceleration, and how long did it take to brake the car? - Teacher's ages
The ages of the 10 teachers of a School are 32, 41, 67, 55, 23, 25, 28,40, 22, 35. Find out the range of the age of teachers. - Difference 80618
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - Alternating circuit
In an alternating circuit, the total voltage V is given by V=V1 +V2 If V=(12.2+6.8i) V and V1=(7.8-2.5i) V, find the voltage V2. - In the desert
A man wondering in the desert walks 5.7 miles in the direction S 26° W. He then turns 90° and walks 9 miles in the direction N 49° W. At that time, how far is he from his starting point, and what is his bearing from his starting point? - Characteristics: 80608 Arithmetic mean xA=40 and standard deviation sx=8 were calculated. Determine from which numbers the student calculated the given characteristics: a) 24 and 56 b) 16 and 64 c) 32 and 48
- A light bulb
We want to connect a 2.5 V, 0.3 A light bulb to a flat battery. How much resistance and how do we need to connect to the light bulb? - The ratio 9
The ratio of the present age of Raul and Rohit is 5:7. Four years ago, Rohit age is 12 more than Raul's age. Then find their present age.
- L Hospital's rule
Use L Hospital's rule to solve (i) Lim x²+5x-14/x²-5x+6 X—>2 (ii)Lim x³+x²-x-1/x²-2x-3 X—>3 - A current
A current of 0.1 A flows in the branch with a resistance of 5 ohms. In the second branch, a current of 0.2 A. Calculate: a) what is the resistance of the second branch, b) to what voltage was the circuit connected? - Ohms Two resistors of 6 ohms and 8 ohms are connected in parallel to a flat battery U=4.5 V. Calculate: a) the total current, b) the current in the branches.
- Two conductors Two conductors have resistance Rs=5 ohms when connected in series and Rp=1.2 ohms when connected in parallel. Calculate the value of the resistors.
- Decelerated projectile
A projectile was weighing 20 g shoots at a speed of 800 m/s being dug 100 mm deep into the masonry. How long does it brake in masonry assuming uniformly decelerated motion?
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