Sets - practice problems - page 6 of 16
Number of problems found: 310
- Employees 4
Of 125 employees, 102 are assigned to perform ONLY ONE programming job, either system programming or application programming. Ten employees are not assigned to perform any of those programming jobs. Overall, 52 employees are given to perform ONLY system p - Corresponding
Set Z contains all natural numbers less than 11. Set A contains all even numbers belonging to set Z. Set B contains all multiples of 5 belonging to set Z. Write all elements of set Z in the appropriate Venn diagram for the two sets. - 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?
- Face combinations
If I have 20 sets of eyes, 20 noses, and 20 mouths, how many unique face combinations can I make? - Figure set probability
The set contains 12 different figures. How many unidentified individual figures do I have to buy to have precisely two complete sets with a 90% probability after unpacking them? - 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 - 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
- Mangoes trees
Draw two sets of trees. The first tree has two branches and eight mango fruits. The second tree has three branches and 12 mango fruits. Illustrate and express the ratio and proportion of the given statement. - 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? - The freshman
The freshman was held at the activity center with 12567 seats. If people did not occupy 120 sets, how many seats are occupied? - 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 - Two fertilizers
Jason is testing two fertilisers, Grow Well and Green Grow, on 50 tomato plants of the same variety planted in identical conditions. He applied Grow Well to 25 plants and Green Grow to the other 25. After four weeks, he measured the heights of the plants - 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
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