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This is model lecture on Quadratic equations.
Download1. No rational number can be squared to get 22 because sqrt(22) is irrational. 2. Natural numbers are 1,2,3... All of them are positive and hence any number of positive numbers cannot add up to zero. 3. It is not an empty set as (0)^2 = 0 and 0 is a rational number. 4. sqrt(17) is a real irrational number and hence this set is also not empty.
3. Union of two sets is just total number of elements in both sets counted only once.We disregard repeating elements.
4. Multiplication of sets is meaningless.
Let the numbers be 5x and 6x.
20% of 5x is one fifth of 5x = (1/5)5x = x. Hence after increment number of women = 5x + x = 6x.
Similarly 10% of 6x = .6x. Hence new number of men = 6x + .6x = 6.6x.
Thus new ratio = 6x/6.6x = 1/1.1 or 10 : 11.
Total cards = 52
Black cards = 26 (Includibg two black jacks)
Now other 26 red cards also have two red jacks.
Hence total favourable cards = 26 + 2 = 28.
Thus required probability = FAv Events/ Total Events = 28/52 = 7/13
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