Examples for secondary school students - page 23 of 237

Number of problems found: 4732

Lifetime - bell curve
Laser lifetime follows a normal distribution with a mean of 7000 hours and a standard deviation of 600 hours. What is the probability that the laser will fail before 6000 hours? What is the probability that the laser will last at least 7500 hours?
Distance
If Dana increases her walking speed by 1 km/h, she will cover more than 20 km in 4 hours. If she decreases her speed by 1 km/h, she will cover no more than 20 km in 5 hours. At what speed did Dana walk? (s = v · t; s = distance, v = speed, t = time.) Solv
Circumscribed circle ABC
Triangle ABC, with sides a = 15 cm, b = 17.4 cm, and c = 21.6 cm, is circumscribed by a circle. Calculate the area of the segments determined by the sides of the triangle.
Circumscribed triangle
Calculate the radius of the circle of the circumscribed triangle, which has side dimensions of 8, 10, and 14 cm.
Playmakers + coach
In a basketball game, two pivots, two wings, and one point guard play. The coach has three pivots, four wing players, and two playmakers available on the bench. How many different five players can a coach send to the board during a game?
Dividing Number Proportionally
Divide the number 112 into three components, x, y, and z, so that x: y = 7: 5 and y: z = 3: 4 apply.
Pupils 22
Pupils of the graduating class at the Business Academy in Banská Bystrica had from the written test in Slovak language the following marks: 2, 2, 3, 3, 1, 4, 4, 2, 3, 5, 3, 3, 3, 4, 2, 4, 1, 1, 2, 3, 4, 5, 1, 3, 3, 2, 2, 3, 2, 1. Create a frequency distri
Refrigerator, lemonades
How many possible ways can we store three lemonades, four mineral waters, and two juices in the refrigerator next to each other?
Married pairs
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other?
Probability - defective parts
There are 10 parts in the box, and 3 of them are defective. Let's choose 4 components at random. What is the probability that it will be among them a) 0 defective, b) just one defective component, c) just two defective components, d) exactly 4 defective c
Acceleration Before Break
A body of mass 500 kg is lifted with a uniformly accelerated rectilinear motion using a rope. Determine the acceleration at which the rope breaks if it sustains a load of 15,000 N.
Motion with Decreasing Acceleration
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th
Mark statistics frequency
Marks with equal weight 2,1,3,2,2,3,1,3,1,1,2,4,2,2,3,1,1,2,1,3 specify: 1) arithmetic mean 2) absolute and relative frequency 3) mode and median 4) create a chart
Probability - coloured balls
The cube has 6 blue, 8 red, and 10 green balls. The player randomly draws 3 balls. Determine the probability that he draws balls of the same color.
Student deposit years
A student deposited €500 in a savings bank at 2.5% interest. In what time (in years) will he earn as much interest as he invested?
Airplane mechanical energy
An airplane weighing 100 tons flies at an altitude of 11 km at a speed of 850 km/h. What is its kinetic, potential, and total mechanical energy?
Nails
A rider decided to buy a good riding horse, whose price was 10 000 €. The seller told him: "I will give you the horse for free. Pay me only for the nails with which the horseshoes are attached. For the first nail in the horseshoe pay me 1 cent, for the se
CFO Director
The financial director has determined the following profitability scenarios for a new branch of the company: Profit of 5 million CZK with probability 0.1. Profit of 3 million CZK with probability 0.3. Profit of 1 million CZK with probability 0.4. Loss of
Central angle
A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long.
Administrative
There are 21 employees working in a warehouse: manual workers and clerical workers. When wages were adjusted, the daily wage of each clerical worker was reduced by €3 and the daily wage of each manual worker was increased by €2, resulting in the total dai

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