Examples for secondary school students - page 81 of 229
Number of problems found: 4578
- Insert 3
Insert five arithmetic progression members between -7 and 3/2.
- A ladder
The ladder's bottom rung is 36 inches long, and the topmost rung is 24 inches long. If the ladder has 18 rungs, how many inches each other rung is shorter than the rung below it? How many feet of wood were used to make the rungs?
- Negative difference
Find four arithmetic progression members between 7 and -6.
- Sum of odd numbers
Find the sum of all odd integers from 13 to 781.
- AP members
What is the value of x2, x3, x4, x5…of the terms (of arithmetic progression) when x1 = 8 and x6 = 20?
- AP terms
What are the four terms of arithmetic progression between numbers 4 and 19?
- Hydrostatics
A) Calculate the pressure (hydrostatic) at the bottom of the Mariana Trench. The density of seawater is 1,030 kg/m³. What do you need to find out in an atlas or on the Internet? b) Calculate the pressure force acting on a submarine with a volume of 2,000
- Complaints
The table is given: days; complaints 0-4; 2 5-9; 4 10-14; 8 15-19; 6 20-24; 4 25-29; 3 30-34; 3 1.1 What percentage of complaints were resolved within two weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal nu
- Concrete column
The concrete column of the highway bridge has the shape of a block with dimensions of 1m x 0.8m x 25m. Crane should lift it to a height of 20m. What is the power of his engine if the lifting takes 2 minutes?
- Perpendicular 32733
Calculate the right triangle ABC, the perpendicular b = 43.5 cm of the hypotenuse c = 72.9 cm. Calculate: A hypotenuse segment cb, side a, a hypotenuse segment ca, and a height of triangle v
- Primary 32683
A total of 1415 pupils attend the three primary schools. They go to the second school twice as much as to the first, and to the third, they go 100 less than to the second. How many pupils attend the third school?
- Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculate the size of the embankment section area.
- Tennis aces
The number of aces served by Novak Djokovic in the last 20 tournaments he has participated in is shown below. 12 17 13 7 8 14 11 14 10 12 15 9 11 13 6 15 18 5 19 24 1.1 using the raw, determine the range. 1.2 Group the data into a frequency distribution w
- 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?
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