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If d is the HCF of 30, 72, find the value of x & y satisfying d = 30x + 72y. (Ans:5, -2 (Not unique) Ans: Using Euclid's algorithm, the HCF (30, 72) 72 = 30 × 2 + 12
What is a Function, Anyway? Domain? Range? Next time you're at a fast-food restaurant, take a look at the price list. It may look something like this: • Hamburger.............
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.
det(adj A)for 1*1 matrix
How to Find the range of a function ? Sigh. Students ask me this all the time. They don't want an explanation, they want a procedure. "Tell me the steps!" Unfortunately, th
Probability of A is 85% Probability of B is 45% Probability A and B 56% What is the probability of not either A or B?
Although the set of integers caters to a larger audience, it is inadequate. This inadequacy has led to the formulation of Rational numbers. Rational numbers are of
Frequently, tests that yield abnormal results are repeated for confirmation. What is the probability that for a usual person a test will be at least 1.5 times as high as the upper
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
Farmer counting grasshoppers in his fields, probably not normally distributed due to growing conditions. After various rows the mean number of grasshoppers is 57 SD 12. What will b
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