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A bag holds 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at random. What is the probability in which the marble chosen is blue?
The probability of blue is blue/total. The number of blue marbles is 6, and the total number of marbles is 16 (3 + 6 + 5 + 2 = 16). Thus, the probability of selecting a blue is 6/16= 3/8
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.
I need to come up with a PR plan for a fictitious women''s softball team. How much would something like that cost?
writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.cosa = sin 3 a.(1-sin 2 a).cosa put sin a as then cos a da = dt integral(t 3 (1-t 2 ).dt = integral of t 3 - t 5 dt = t 4 /4-t 6 /6
Rule 1 The logarithm of 1 to any base is 0. Proof We know that any number raised to zero equals 1. That is, a 0 = 1, where "a" takes any value. Therefore, the loga
CONSTRUCTING TABLES VERSUS ROTE LEARNING : Ask any adult how she would help a child to acquire simple multiplication facts. There is a very strong possibility that she would say,
Integration of square root of sin
An engineer has 200 resistors that he keeps in one box. Resistors are colored to help their identification, and in this box there are 30 white resistors, 50 black resistors, 80 red
1. A train on the Bay Area Rapid Transit system has the ability to accelerate to 80 miles/hour in half a minute. A. Express the acceleration in miles per hour per minute. B
if the sum of mean and variance of a binomial distribution is 4.8 for five trials, the distribution
If α & ß are the zeroes of the polynomial 2x 2 - 4x + 5, then find the value of a.α 2 + ß 2 b. 1/ α + 1/ ß c. (α - ß) 2 d. 1/α 2 + 1/ß 2 e. α 3 + ß 3 (Ans:-1, 4/5 ,-6,
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