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If line segment JK is parallel to the line segment LM, ∠JKM = 2x²+15 and ∠LMK=29x-45, find ∠JKM. There is a parallelogram KLMJ with diagonal KM.
There are n tickets in the lottery, m of them are winning ones. Someone has bought k tickets. What is the probability that at least one of them is lottery loan?
There are n randomly placed books on a shell with the two-volume edition of Jack London among them. Suppose that the different book arrangements are equiprobable. What is the probability that both volumes are located near each other?
Student came to the exam knowing only 24 questions out of 30. If he doesn’t know the answer on a question he gets a second one. Student can pass the exam if he answers at least one question. What is the probability of passing the exam?
The deck of cards (36 pieces) is randomly divided into 2 equal packs. What is the probability that:
a) there will be two aces in each pack;
b) there will be all four aces in one pack;
c) there will be equal amount of red cards in each pack?
There are 10 red and 6 blue buttons in the box. What is the probability that two randomly taken buttons are of the same color?
Consider A, B and C to be an events. What is the sense of the following equations:
a) ABC = A;
b) A+B+C = A?
Suppose that a certain program takes 500 seconds of elapsed time to execute. Out of these 500 seconds, 280 seconds is the CPU time and the rest is I/O time. What will be the I/O time?
What percentage of time will a 20 MIPS processor spend in the busy wait loop of 65-character line printer when it takes 3 m-sec to print a character and a total of 457 instructions need to be executed to print 65 character lines? Assume that 4 instructions are executed in the polling loop?
Every recursive problem has an iterative solution. Is it true?








