Intersection of sets - practice problems - page 5 of 10
Number of problems found: 182
- 25 pupils
Twenty-five pupils attend the school dance group, which is 5 percent of all pupils. The judo class is attended by 20 pupils, a quarter of whom also attend a dance group. How many schoolchildren do not go to a dance or judo group?
- Gym center
80% of all visitors to the gym center enjoy a discount. 3/4 of all visitors go to practice regularly. All visitors who go to the gym regularly benefit from a discount. What percentage of all visitors do not go to the gym regularly but still use the discou
- Solutions 41771
There were 32 toys on the toy store shelf. We know that there were 19 cars with these toys. We also know that 18 of these toys were made of wood. How many wooden cars were on the shelf? Find at least two solutions.
- Divisors 40571
All common divisors of headings 90 and 48
- Calculate 39131
A circle describes a square with a side of 8 cm. Calculate the area of the rest of the circle if we cut out the square.
- Simultaneously 37091
Ten children came to the art circle. Eight children painted, and nine, I guess. How many children did I paint with, and I think simultaneously?
- Distinguished 37083
Three circles of the same size are drawn on the playing field. Arrange the 16 pins so that there are 9 pins in each circle. Find at least eight significantly different layouts, i.e. J. such layouts in which pins or circles are not distinguished.
- Goalkeeper
Mike plays as the goalkeeper 50% of the time if Peter is the coach in a football game. However, if Robert were coaching, he would only have a 30% chance. Peter coaches more than Robert in about 6 to 10 games. What is the probability that Mike gets to be t
- Group of children
There is a group of children. There is a boy named Adam in each of the three children subgroups and a girl named Beata in each quartet (four-member subgroup). How many children can be in such a group, and what are their names in that case?
- Open intervals
Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies.
- Operations with sets
Set B - A has twice as few elements as set A - B and four times fewer elements than set A ∩ B. How many times more elements does set A have than set B?
- MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How
- Subtracting sets
For two sets K, L is true: K has 30 elements, L has 27 elements, and the set L - K has 22 elements. How many elements does the set K - L have?
- Following 34291
The following holds for two non-empty sets, A and B: A ∪ B has 16 elements, A ∩ B has 11 elements, and the set A - B is empty. How many elements does set B-A to have?
- Venn diagram
University students choose a foreign language for the 1st year. Of the 120 enrolled students, 75 chose English, 65 German, and 40 both English and German. Using the Venn diagram, determine: - how many of the enrolled students chose English only - how many
- Language courses
Of the company's 60 employees, 28 attend an English course, 17 take a German course, and 20 do not attend any of these courses. How many employees attend both courses?
- Perpendicular projection
Determine the distance of point B[1, -3] from the perpendicular projection of point A[3, -2] on a straight line 2 x + y + 1 = 0.
- Inequality: 33371
Solve the quadratic inequality: -2x² + 4x + 6
- Construction 32971
There is any circle k that does not have a marked center. Use a suitable construction to find the center of the circle k. Try on two different circles.
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