Sets - practice problems - page 5 of 14
Number of problems found: 273
- 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) - Children 58031
The children talked about how they spent the holidays at school. 2/3 of them were on holiday with their parents. There were ten children by the sea, which is 5/8 of those who were on vacation. How many children are in the class of children? - 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 - Two fertilizers
Jason is testing two fertilizers, Grow Well and Green Grow, so he went to a nursery and bought 50 tomato plants of the same variety. He planted all 50 plants in an identical environment. He then administered Grow Well to 25 of the tomato plants and Green - 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 = ___ - 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. - A fifth
A fifth-grade class sets up 418 chairs for a graduation ceremony. Each row has 22 chairs. How many rows of chairs does the class set up? Enter your answer in the box. - There 11
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
- Intersection 49623
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 - Combinations
Evaluate following expression involving combinations and permutations: C(6,3) + 3 P(6,3) - 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 - 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 go to a dance group. How many schoolchildren do not go to a dance or judo group?
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