Intersection of sets - practice problems - page 2 of 10
Number of problems found: 199
- 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| - Intersection of two sets
A = {a, b, c, d, e, f, g, h, i}, B = { d, g, f, k, j, a}, find A ∩ B. - 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
- 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? - 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? - Pool sidewalk tiles
The rectangular pool has dimensions of 25 meters and 12.5 meters. A 2-meter wide path surrounds the pool. How many square meters of tiles are needed to pave a sidewalk? - Student pet count There are 24 students in the class. Eleven of them have a dog at home. The tiny rodent has 15 of them. No animal has 5 students at home. How many students have 2 pets at home?
- Function graph intersection
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common. - Circle line intersection
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R. - Club animal count Twenty-nine children attend the club. Eleven said that they have a dog, 14 children have a cat, and 12 children have a hamster. Two children have all three animals. Seven children do not have any animals at home. How many children have at least two of the
- Hotel theft suspicion
At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion? - Cinema seat probability
Calculate the probability of the event that you sit in seats 1 to 30 in the cinema at: a) seat marked with a prime number b) seat marked with an even number c) a seat marked with a number divisible by 3 or 4 - Triangle height intersection
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides. - Dice even probability
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss.
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