Intersection of sets - practice problems - page 5 of 11
Number of problems found: 212
- Village flag waving
Sixty children from the school accompanied them to celebrate the village's founding. Forty children waved with the village flag. Thirty children got waved with the coat of arms of the village. How many children received both types of lubricants? - Line - normal form
What is the equation of the line whose x-intercept is - 3 and y-intercept is -4? Find coefficients A, B, C in normal equation of line: Ax + By = C - Three languages 2
Participants of a congress may present their contributions in English, Italian, or Spanish. Each of the 120 participants knows at least two of these languages, and 10 participants speak all three languages. English and Spanish is spoken by exactly as many - Calculate In one class, each of the 30 students speaks either English or German. Three of them speak both languages. Those who speak only German outnumber those who speak only English by three. Using a Venn diagram, calculate: How many students speak English? How m
- Three sets and operations
Let A= {1,3,5}, B={2,4,5,6}, U={1,2,3,4,5,6,7} Find: 11. A ∪ B 12. A ∩ B 13. A' 14. (A ∩ B)' 15. B" - AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252 - Sets
If X = {1, 2, 3, 4, 5 . . .10}, Y = {2, 4, 6,. . . 20} and Z = {x: x is an integer, 15 ≤ x ≤ 25 }. Find (a) X ∩ Y, (b) X ∩ Z, (c) n(X ∪ Y), and (d) n(X ∪ Z) - Vacation class children
The children talked about how they spent the holidays at school. 2/3 of them were on holiday with their parents. Ten children went to the seaside, which is 5/8 of those who were on vacation. How many children are in the class? - Three robots
In a workshop, three robots, Q, R, and S, are employed to make chairs Robot Q makes 25% of the chairs Robot R makes 45% of the chairs The remaining chairs are made by Robot S Evidence has shown that 2 percent of the chairs made by robot Q are defective, 3 - School student The probability that a school student has a skateboard is 0.34, the probability that he has a bicycle is 0.81, and the probability that he has a skateboard and a bicycle is 0.22. What is the probability that a randomly selected student has a skateboard or
- Intersect of sets
Refer to the sets below: U = {1,2,3,. .. ,10} A = {1,2,3,4,5} B = {2,4,6,7,8} C = {4,5,6,8,10} A ∩ B ∩ C = ___ - Peter and Lucy
In a group of 3 boys and 4 girls, two players are drawn to play a game. Among the girls is Lucy, and among the boys is Petr (both are the only ones with that name). The first one drawn will be the captain, and the second the helmsman. What is the probabil - The vaccination
The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated and more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvacci - An aircraft
An aircraft manufacturing company has submitted bids on two separate airline contracts, A and B. The company feels it has a 70% chance of winning contract A and a 25% chance of winning contract B. Furthermore, it believes that winning contract A is indepe - And-or probabilities
P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.18. Find P(A U B ). Round approximations to two decimal places. - World languages
There are 50 pupils in the class. Out of this number, 1/10 speak French only, and 4/5 of the ten speak French and English. If the rest speak English only, find the number of students who speak only English. - Smoker male For a person selected randomly from a certain population, events A and B are defined as follows. A = event the person is male B = event the person is a smoker. For this particular population, it is found that P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.1
- Function axis intersection
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) - Three subjects In a class of 40 students, 18 passed mathematics, 19 passed accounting, 16 passed economics, five mathematics and accounting only, six mathematics only, nine accounting only, and two accounting and economics only. Each student was offered at least one of
- A swimmer-training
A swimmer-training program has 26 students specializing in butterfly stroke, 24 specializing in breaststroke, and 29 specializing in backstroke. Of these students, five specialize in all three strokes, five specialize in only the breaststroke and the back
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