Question
A bag contains 5 red bottles, 6 yellow
>bottles and 8 green bottles . 3 bottles are drawn randomly. What is the probability that the bottles drawn contain exactly two yellow bottles ?Solution
Total number of bottles = 5 + 6 + 8 = 19 Let S be the sample space. Then, n(S) = number of ways of drawing 3 bottles out of 19 = 19C3 = `(19 xx 18 xx 17)/ (3 xx 2 xx 1)` = 969 Let E = event of drawing e xactly two yellow bottles n(E) = 6C2 `xx` 13C1 = `(6 xx 5)/(2 xx 1)` `xx` 13 = 195
l). p² - 29p + 204 = 0
ll). q² + 4q - 221 = 0
I. 2x2 – 5x - 12 = 0
II. y2 – 11y + 30 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 17x² - 78x + 61 = 0
Equation 2: 19y² - 89y + 70 ...
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 137x + 108 = 0
Equation 2: 31y² - 146y + ...
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 6x² - 24x + 18 = 0
Equation 2: 5y² - 20y + 15 = 0
I). 4p + 3q = 25
II). 5p + 2q = 26Â
I. 66x² - 49x + 9 = 0
II. 46y² - 37y - 30 = 0
I. 7x² + 52x + 21 = 0
II. 6y² + 7y - 24 = 0
Solve the equation:- x² − 9x + 20 = 0, What is the larger root?
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