Examples for secondary school students - page 61 of 229
Number of problems found: 4578
- Draw a triangle
We have line segments with lengths of 3cm, 5cm, 6cm, 7cm, and 9cm. What is the probability in % that if I randomly select three of them, I will be able to draw a triangle? - 6 plates
Six plates and 5 cups cost 37.50 dollars. Seven plates and 6 cups 44.10 dollars. Each plate costs the same amount as the other cup. What is the cost of 1 plate? What is the price of 1 cup? - Hundredths 50681
The product of two unknown numbers is two hundredths. The first number is 1.25 times larger than the second number. Specify both numbers. - Deposit
We deposited a total of $15,000 into simple interest accounts. The annual simple interest rate on one account at 6% the annual simple interest rate on the second account at 7%. How much should be invested in each account so that the total interest earned - Luiza
Luiza delivers newspapers in her neighborhood. If you plot the points (-1, 1), (4, 1), (4, -2), and (-1, -2), you will create a representation of the route she takes in miles. How many miles does her route cover? - Distance two imaginary numbs
Find the distance between two complex numbers: z1=(-8+i) and z2=(-1+i). - Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati
- Wheel gear
A drive wheel of radius two is connected to a drive wheel of radius one by a pulley of length 17. What is the distance between the wheel axles? - Level of significance
At a certain college, it is estimated that 25% of the students have cars on campus. Does this seem to be a valid estimate if, in a random sample of 90 college students, 28 are found to have cars? Use a 0.05 level of significance. - The oscillation
The oscillation of a mechanical oscillator can be used to measure weight. A body of the unknown weight is suspended on a spring with a stiffness of 20 N times m. The resulting oscillator oscillates with a frequency of 1.6 Hz. Find the weight of the body. - Centre of the hypotenuse
The interior angles of the triangle ABC, alpha, beta, and gamma are in a ratio of 1:2:3. The longest side of the AB triangle is 30 cm long. Calculate the perimeter of the triangle CBS if S is the center of the side AB. - Parallelogram diagonals
Find the area of a parallelogram if the diagonals u1 = 15 cm and u2 = 12 cm and the angle formed by them is 30 degrees. - Frequency of oscillation
A weight of 1 kg was suspended from the spring, and the spring was extended by 1.5 cm. Determine the frequency of the natural oscillation of the resulting oscillator. - Dynamometer
What is the volume of a body that stretches a dynamometer in air, on which a force of 2.5 N suspends it, and if it is immersed in alcohol with a density of 800 kg/m³, does it tension the dynamometer with a force of 1.3 N? - Intersection 49623
Where is the intersection of the function y = -3x + 5 with the coordinate axes x and y? (where they are on the x-axis and y-axis)
- The profit The profit made by a business in 2018 was triple that made in 2019. The profit in 2020 was R 3 million less than the profit in 2019. If the total profit in these three years was R 67 million, what was the profit made in 2020?
- MIT 1869
You know the length of parts 9 and 16 of the hypotenuse, at which a right triangle's hypotenuse is divided by a height. The task is to find the lengths of the sides of the triangle and the length of line x. This assignment was part of the Massachusetts In - A professor
A professor in a typing class found out that the average performance of an expert typist is 85 words per minute. A random sample of 16 students took the typing test, and we obtained an average speed of 62 words per minute with a standard deviation of 8. C - Unemployment rate Over the last 16 years, the country's unemployment rate has changed according to the following frequency table: years of unemployment: 2 5 2 3 3 1 unemployment rate: 0.5 1 1.5 2 2.5 3 in % (percent). Determine the two-sided confidence interval for the var
- Intersection of functions
Draw a graph of the function given by the equation y = -2x +3, find its intersections with the coordinate axes, and complete the unknown coordinates A [3;? ], B [?; 8].
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