Examples for secondary school students - page 49 of 214
Number of problems found: 4262
- Isosceles trapezoid
Find the height in an isosceles trapezoid if the area is 520 cm² and the base a = 25 cm and c = 14 cm. Calculate the interior angles of the trapezoid. - Isosceles 48443
Three equal positive charges Q are located at the vertices of an isosceles right triangle ABC. The right angle is at vertex A. The length of side AB is 1m. What is the electric field strength at the center S of side BC, i.e., what force would act on a pos - School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm³ - A machine
A machine produces steel rods of normally distributed length, the mean length and the standard deviation being 50.0 cm and 0.5 cm, respectively. The rods do not conform to safety standards if they are either shorter than 49.1 cm or longer than 50.7 cm in
- Arithmetic 48053
Calculate the arithmetic mean, median, and mode of numbers x1, x2. .., x15, if the number 2 occurs between them five times, the number 7 eight times, and the numbers 10 and 12 once. - Thermometer
Immerse a thermometer with a heat capacity of 2.0 J. K-1 in water weighing 67.0 grams. Before water immersion, the thermometer showed a temperature of 17.8 degrees Celsius. After reaching equilibrium, the temperature is 32.4 degrees. What was the water te - A married
A married couple planned to have three children. i. List the possible combinations of the sexes of 3 children. Use B for a boy and G for a girl. ii. Calculate the probability that all three children would be of the same gender - Hydrostatic 47943
The Czech Martin Štěpánek became the world record holder in May 2003, diving in the open sea in Cyprus with only fins to a depth of 93 m for 3 min and 34 s. Calculate the hydrostatic pressure acting on it at this depth. - Gardeners 47883
Gardeners have planted 1,100 flowers. Pansies are 280 less than tulips, and 40 daffodils than pansies. How many pansies have they planted?
- Combinations
Evaluate following expression involving combinations and permutations: C(6,3) + 3 P(6,3) - Five number summary
Find the five-number summary for these data and make a boxplot. 14,5,12,19,2,35,5,4,3,7,5,8 - How many 13
How many ways can X³ y⁴ z³ be written without an exponent? - Committee 2
How many committees consisting of 3 women and two men can be formed from a group of 6 women and five men? - A department
There are seven women and five men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and one woman be selected? c) how many ways can a committee of at least two women be selected (3 people
- Square equal rhombus
Construct a square that has the same area as a rhombus ABCD if |AB| = 5cm, |AD| = 4cm and angle |DAB| = 30°. - Three resistors
You must connect three identical resistors with 12 Ohm resistances to get the resulting resistance gradually) 36 Ohm, b) 4 Ohm and 18 Ohm. Draw a diagram of each circuit. - How to
How to find a total surface of a rectangular pyramid if each face is 8 dm high and the base is 10 dm by 6 dm? - Quadrilateral 47493
A regular quadrilateral prism ABCDEFGH has a base edge A B 8 cm long and 6 cm high. Point M is the center of the edge AE. Determine the distance of point M from the BDH plane. - Assemblers 47483
Two assemblers with the same daily output were to complete the assembly in 12 days. After 4 days, one of them got sick, and the other finished the assembly in another 16 days. How long would it take everyone to do the assembly by themselves?
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