Intersection of sets - practice problems - page 2 of 8

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 155

News
From 28 students buy magazines, 10 The economist students, 10 Pravda students, and 18 students don't buy any of these magazines. How many students buy both magazines?
Simultaneously 37091
Ten children came to the art circle. Eight children painted and nine, I guess. How many children did I paint with, and I think simultaneously?
All multiples
Set A is a set of all multiples of 2 and set B is a set of all multiples of 3. If the P (A)=0.6 and P (B)=0.3. Find P (AUB).
Operations with sets
Set B - A has twice as few elements as set A - B and four times fewer elements than set A ∩ B. How many times more elements does set A have than set B?
MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How
Class
The class has 18 students. Everyone knows inline skating or skateboarding. Inline skating can ride 11 students on a skateboard 10. How many ride-on inline skates and a skateboard?
Medical trail
In a medical trial, there were 80 patients. Twenty-four received treatment A, 30 received treatment B, and 20 received both treatment A and treatment B. How many patients did not undergo any treatment?
Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0
The triangle
Three vertices give the triangle: A [0.0] B [-4.2] C [-6.0] Calculate V (intersection of heights), T (center of gravity), O - the center of a circle circumscribed
Pupils
There are 27 pupils in the classroom. They can swim 21 and ski nine pupils. Neither swim nor ski three pupils. How many pupils can swim and ski?
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
Ten pupils
Ten pupils came to the art group. Eight pupils painted with watercolors and nine painted with ink, each painted with ink or watercolors. How many pupils painted water and ink at the same time?
Glasses
There are 36 pupils in the class. Nine girls wear glasses. Boys with glasses are five less than girls without glasses. Boys without glasses are two times more than girls without glasses. How many boys and how many girls?
Intersect and conjuction
Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB'
Round destiny
There are five white and ten red balls in the destiny. Four balls will be drawn at random. What is the probability of the event "at least two spheres are white"?
Intersections 80587
Draw the graph of the function y = -2x + 3. Calculate the coordinates of the intersections of the function's graph with the x and y axes.
Students 8345
Ninety-seven pupils go to music school, each playing the piano or violin. Sixty-three pupils play the piano, and 58 pupils play the violin. How many students play the piano and the violin?
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?
Wafers
They used 200 pieces to make wafers. One hundred fifty-seven topped with caramel topping and 100 with sugar topping. How many wafers did both toppings have?

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