Examples for secondary school students - page 58 of 229
Number of problems found: 4578
- Coefficients 55451
Write a system of 3 linear equations with 3 variables (x. Y. z), which has all non-zero coefficients and a solution x= 2+t, y=3-2t, z=t, where t€R. The fact that the system has all non-zero coefficients means that all numbers in the extended matrix of the - Serial resistors
In the circuit shown ( two resistors, R1 and R2, serially connected), the total resistance from A to B is 16 ohms. If the voltage between A and B is 10 V, find the resistance R2 and the current through the R1 = 12-ohm resistor. - Given 2
Given g(x)=x²+x+1 where x=t². What is g(t²)? - Construction 55311
Construct a KLM triangle where side k is 6.7 cm, the line to the k side is 4.1 cm, and the LKM angle is 63 degrees. Write the construction procedure. - Telephone calls
The random variable that models the time between 2 phone calls has an exponential distribution with density f(x)=10exp (-10x), x is greater than 0. Calculate its distribution function and the probability that the time between calls does not exceed 5 secon - Germination 55283
The supplier of spruce seeds for our nursery declares a germination rate of 80% for his goods. Verify this statement based on an experiment in which only 70 seeds germinated out of 100 randomly selected seeds. - Peter and Lucy
In a group of 3 boys and 4 girls, two players are drawn to play a game. Among the girls is Lucy, and among the boys is Petr (both are the only ones with that name). The first one drawn will be the captain, the second the helmsman. What is the probability
- Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26? - The isosceles
The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and area of the trapezoid? - Touch circle
Point A has a distance (A, k) = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l - Insert
Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence. - AP - consecutive members
In the arithmetic sequence, a1 = 4.8, d = 0.4. How many consecutive members, starting with the first, need to be added so that the sum is greater than 170? - The perimeter
The perimeter of the triangle is 24, and the sides are integers and form an arithmetic sequence. Specify the side sizes of this triangle. - Distribution 55071
Five men drive to work together; 2 have a Škoda car, and the others have an Opel, Seat, and Hyundai. They always randomly choose which car to drive. Each of the five cars has an equal chance. The random variable X determines how many days the same charact - Skateboard
Petr wanted to buy a skateboard. But he had no money, so he asked his father and two brothers for help. His father gave him half of the amount his brothers gave him. His older brother gave him a third of what he received from the others. His younger broth
- Straight-line depreciation
Olsen Inc. Purchased a $580,000 machine to manufacture a specialty tap for electrical equipment. The tap is in high demand, and Olsen can sell all it can manufacture for the next ten years. To encourage capital investments, the government exempts taxes on - Median of odd count
The following are the weights (in kg) of seven people: 70, 62, 62, 75, 60, 65, and 78. Find the median of the weights of people. - Perfect cube
Which of the following numbers is not a perfect cube? a. 64 b. 729 c. 800 d. 1331 - The library
Anna stored a total of 126 books in three compartments of the library. There are six more books in the first compartment than in the second. The number of books in the second compartment is the arithmetic average of the number of books in the first and th - Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers.
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
