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a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
apllication in business and economics
The following table contains some information about the model used. Assume the probabilities given by the model are those of being a good writer. Variable
probability as that of flipping a coin eight times and getting all the times the same side of the coin.)
compare: 643,251: 633,512: 633,893. The answer is 633,512.
In a class, all pupils take Mathematics (M), 18 take Chemistry (C), 17 take Biology (B) and 24 take Physics (P) of those taking 3 subjects only, 5 take Physics and Chemistry, 7 ta
Define an ordered rooted tree. Cite any two applications of the tree structure, also illustrate using an example each the purpose of the usage. Ans: A tree is a graph like t
3 1/2 x 1 4/7 x 1 1/3
Q. Show basic Trigonometric Functions? Ans. There are six trigonometric functions and they can be defined using a right angle triangle. We first label each side according
In the adjoining figure, ABCD is a square of side 6cm. Find the area of the shaded region. Ans: From P draw PQ ⊥ AB AQ = QB = 3cm (Ans: 34.428 sq cm) Join PB
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