Examples for secondary school students - page 82 of 230

Number of problems found: 4593

Pentagonal pyramid
Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm.
Convex lens
The convex lens consists of two spherical segments (dimensions given in mm). Calculate its weight if the density of the glass is 2.5 g/cm³. Dimensions: 60mm in length and width of the upper part 5mm, the width of the lower part 8mm
IQ Intelligence quotient
Intelligence quotient (IQ) is a standardized score used as the output of standardized intelligence psychological tests to quantify a person's intelligence with the rest of the population (respectively, to a given group). Intelligence has an approximately
Three colors
Find the probability that three balls of the same color will be drawn from fate with ten white, ten red, and ten blue balls.
Assembly time
The assembly time for the toy follows a normal distribution with a mean of 75 minutes and a standard deviation of 9 minutes. The company closes at 5 pm every day. If one starts assembling at 4 pm, what is the probability that he will finish before the com
Alopecia
Medical literature indicates that 45% of men suffer from alopecia. For a random sample of 8 men, calculate the probability that: (a) exactly four men suffer from alopecia. (b) at most, two men suffer from alopecia.
3-digit 32301
How many 3-digit numbers can be created from the numbers 0, 1, 2, 3, and 4 if we can repeat them?
Calculate cone
The rotating cone has a base radius r = 226 mm, and the deviation of the side from the base plane is 56°. Calculate the height of the cone.
Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB?
Coordinates 32183
The triangle ABC is given in the plane. A (-3,5), B (2,3), C (-1, -2) write the coordinates of the vectors u, v, w if u = AB, v = AC, and w = BC. Enter the coordinates of the centers of the lines SAB (..), SAC (...), SBC (. ..)
Cuboid diagonals
The cuboid has dimensions of 15, 20, and 40 cm. Calculate its volume and surface, the length of the body diagonal, and the lengths of all three wall diagonals.
This year
This year, 2020, is a leap year. How many leap years had there been since 1904?
Missing term
What is the missing term in the sequence? _____, 13, 30, and 47?
The difference of AP
Find the difference d in an AP (arithmetic progression) whose 5th term is 18 and 39th term is 120.
AP - which term
In the A. P. 36, 39, 42, …, which term is 276?
15th term of AP
What is the 15th term; x1=1.5, d=4.5?
10th term
What is the 10th term of the Arithmetic Progression if x1=4 and d=5?
Tournament's 32031
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points?
Interest 2
At the beginning of the year, Ms Mařasová obtained a loan from the bank in the amount of CZK 75,000 for three years, with an interest rate of 12.5%. She will repay the loan and interest in one go, after three years. The bank pays interest twice a year, al
Between two
There are regular flights between the two airports 690 km apart. A plane leaves the first airport at 6:30 with an average speed of 60 km/h greater than the second plane, which leaves the second airport at 7:00. The planes always pass each other at 9:00. W

Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.