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Let a, b, c 2 Z+.
(a) Prove that if a|b, then ac|bc for all c.
(b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
(c) Prove that gcd(a, a + b) = gcd(a, b).
ABCD is a rhombus. the sides of the rhombus are 8cm long .one of its diagonals is 12cm .find the angels of the rhombus
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f all the permutations of the letters of the word chalk are written in a dictionary the rank of this word will be?
Susan begins work at 4:00 and Dee starts at 5:00. They both finish at the similar time. If Susan works x hours, how many hours does Dee work? Since Susan started 1 hour before
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How many 4 digit number lass than 6000 can be made with the digits 7,6,4 and 2 if digits are not repeated?
Expected Value For taking decisions under conditions of uncertainty, the concept of expected value of a random variable is used. The expected value is the mean of a probability
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