Sets - practice problems - page 2 of 15
Number of problems found: 300
- Ruben
Ruben owns a restaurant. He likes to keep track of everything customers are buying. His top 3 sellers are sandwiches, salads, and pizza. He knows that 1/3 of his customers buy a sandwich, 1/2 buy a salad, and 1/4 buy a pizza. What fraction of customers bu - A disease
A disease affects 10% of the individuals in a population, and a sample of 100 people was selected from the population. What is the probability of finding the disease in at least 15 people? - Three sets
Of 240 students, 173 are on the honor roll, 48 are members of the varsity team, and 36 are on the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the vars - False positive, false negative
Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test to determine if you're allergic to cats has a false positive rate of 5%; that is, 5% of the time, the test will indicate incorrectly that you are allergic
- Here are 2
Here are two sets: A:={{1,2},{1,4},{2,4}} and B:={{1,4},{1},{2},{4,2}}. How large is |A∩B| - Union of sets
Given the sets A = {2, 3, 4, 5} and B = {2, 4, 5, 6} . What is A ∪ B? 1.A ∪ B={2, 4, 5} 2.A ∪ B={3} 3.A ∪ B={2, 3, 4, 5, 6} 4.A ∪ B={6} - Intersection of two sets
A = {a, b, c, d, e, f, g, h, i}, B = { d, g, f, k, j, a}, find A ∩ B. - Set complement Let U = {1, 3, 5, 7, 9, 11} and A = {1, 5, 9}. What are the elements of A’? A. {3, 7, 11} B. {0} C. {1, 3, 9} D. {2, 4, 6, 8, 10}
- Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8|
- Testing students
Giving a test to a group of students, the grades and gender are summarized below. Grades and Gender ; A; B ; C ; Total Male; 20; 6; 19 ; 45 Female ; 17; 18; 13; 48 Total; 37; 24; 32; 93 If one student is chosen at random, a) Find the probability that the - Traffic accidents
Of the total number of traffic accidents, 80% occur in the village and 20% outside the village. If the number of traffic accidents in the village were reduced by 40%, by what percentage would the total number of traffic accidents decrease? - Elementary Art School The music and art department in the elementary art school is attended by 86 students. The music department is attended by 45 students, the art department is attended by 53 students. Several students attend both departments. How many students attend the mu
- Two workshops
Two workshops were supposed to produce 4000 sets of kitchen utensils together. After completing this task, it was found that the first workshop produced 534 sets more than was originally set for it, while the second workshop fulfilled its task by 80%. How - Target - shooting
A shooter hits the target with a probability of 78%. Determine the probability that, in a competition where 3 shots are fired in a row, he misses only the first shot. Round the result to two decimal places.
- Out of 124 Out of 124 students, 68 students went on at least one of the two trips. 82 students did not go on the first trip, and 63 students went on just one trip. How many students went only on the first trip, and how many students went on the second trip?
- In the parking lot 2 There were 12 cars in the parking lot - 5 green, 4 blue, and 3 red. What is the probability that the last car left in the parking lot is blue or green?
- Spectators 83570
The theater is watched by 3900 spectators, 3200 of whom are women and 700 men, the rest being children. Thus, 3900 children watch the theater. - Coordinates of line points
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line? - Distances 83452
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this?
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