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Consider a class of 55 students. The student names are placed in a hat and 3 names are randomly drawn without replacement.
a) If the first person drawn was named the class president, second person drawn was named vice president, and the third person drawn was named secretary how many different results would be possible?
b) If the class of 55 students consisted of 30 women determine the probability that all three students randomly selected were women.
Prove that in any triangle the sum of the squares of any two sides is equal to twice the square of half of the third side together with twice the square of the median, which bisect
2.008
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(a) Derive the Marshalian demand functions for the following utility function: u(x 1 ,x 2 ,x 3 ) = x 1 + δ ln(x 2 ) x 1 ≥ 0, x 2 ≥ 0 Does one need to consider the is
Example 1 Add 4x 4 + 3x 3 - x 2 + x + 6 and -7x 4 - 3x 3 + 8x 2 + 8x - 4 We write them one below the other as shown below.
Ionic solids, which have anionic vacancies because of metal excess defect develop colour. Illustrate with the help of a suitable example.
The square of a positive number is 49. What is the number? Let x = the number. The sentence that is , "The square of a positive number is 49," translates to the equation x 2
Find the area of a circle along with a radius of 6 inches. The formula for the area of a circle is A = πr 2 . Use 3.14 for π. Substitute 6 for r in the formula A = πr 2 and solve
The centre of a circle is (2x - 1, 3x + 1).Find x if the circle passes through (-3,-1) and the length of the diameter is 20 units.
sin (5pi/12)
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