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PROBABILITY.., Urn A contains 1 white,2 black and 3 red balls;Urn B contain...

Urn A contains 1 white,2 black and 3 red balls;Urn B contains 2 white,1 black and 1 red balls;and Urn C contains 4 white,5 black and 3 red balls.One urn is chosen at random and two

Differentiation formulas, Differentiation Formulas : We will begin this s...

Differentiation Formulas : We will begin this section with some basic properties and formulas.  We will give the properties & formulas in this section in both "prime" notation &

Pairs of straight lines, The equation ax2 + 2hxy + by2 =0 represents a pair...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

An initial species population , An initial species population is y(0) = 300...

An initial species population is y(0) = 3000. At t=0 the population starts to grow exponentially with a doubling time of 2 years. Mark the only correct statement: a)    The per

Harmonic mean-arthmetic geometric progression, Harmonic mean It is a m...

Harmonic mean It is a measure of central tendency which is utilized to determine the average increase rates for natural economies. This is defined like the reciprocal of the a

Evaluate the integral, Example:   If c ≠ 0 , evaluate the subsequent integr...

Example:   If c ≠ 0 , evaluate the subsequent integral. Solution Remember that you require converting improper integrals to limits as given, Here, do the integ

A card is drawn from a well shuffled deck of cards, A card is drawn from a ...

A card is drawn from a well shuffled deck of cards (i) What are the odds in favour of getting spade? (Ans: 1:3, 3:1, 3:10, 1:25) (ii)  What are the odds against getting a spa

What is the smaller probable value of this number, The sum of the square of...

The sum of the square of a number and 12 times the number is -27. What is the smaller probable value of this number? Let x = the number.  The statement that is "The sum of the

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