# Intersection of sets - practice problems

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 172

- An examination

In an examination 65% students passed in English and 56% in mathematics. And 25% failed in both the subjects. If 414 passed in both the subjects, then find the total number of students. - Richard

Richard is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die. What is the probability that the coin will land on tails and the die will land on an even number? - X intercept

Given: 3y+2x=-6 Calculate the X-intercept. - Library and gym

In a town, 7/8 of the population has a library card, and 3/4 has a gym membership. What fraction of the population has either a library card or a gym membership?

- And or logic

If A and B are events with P(A)=0.3, P(A OR B)=0.76, and P(A AND B)=0.04, find P(B). Enter your answer in decimal form, rounded to one place. - Three 241

Three-fifths of the t-shirts in a t-shirt shop are blue. Five-eights of those T-shirts are on sale. One-third of the blue of the blue shirts that are on sale are size medium. What fraction of the shop's blue T-shirts are on sale and size medium? - And - or probability rules

Given P(A)=0.4, P(B)=0.56, and P(A and B)=0.274, find the value of P(A or B), rounding, if necessary. - Exactly 4

Exactly 1/6 of the kids are playing on the playground. Exactly 3/5 of the kids are playing soccer. Jack adds 1/6 + 3/5 to find the total fraction of kids at the park playing on the playground or playing soccer. Is he correct? - Five roommates

Five roommates will move into a house with four bedrooms: one double room and three single rooms. The five roommates propose that they draw names to determine the order in which they pick the bedrooms, assuming that the first three names drawn will choose

- 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 - 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 - Rectangular 83244

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? - Students 83223

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? - Determine 83003

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.

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