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We can define the conditional probability of event A, given that event B occurred when both A and B are dependent events, as the ratio of the number of elements common in both A an
The manager of a specialty store marks up imported products 110%. If a vase imported from Italy costs him $35, what price tag will he put on the item? To ?nd out the price he s
Ryan's gym membership costs him $390 per year. He pays this within twelve equal installments a year. How much is every installment? To ?nd out each installment, the total yearl
Q. What is set theory? Define universal set? Ans. The universe , or universal set , written as U , is the set that contains all elements being considered in a given dis
if 4,a and 16 are in the geometric sequence. Find the value
2cos^2x-sinx=1......Find x
If y 1 (t) and y 2 (t) are two solutions to a linear, homogeneous differential equation thus it is y (t ) = c 1 y 1 (t ) + c 2 y 2 (t ) ........................(3) Remem
Definite Integral : Given a function f ( x ) which is continuous on the interval [a,b] we divide the interval in n subintervals of equivalent width, Δx , and from each interval se
If a pair of dice is thrown and X denotes the sum of the numbers on them. Find the probability distribution of X.Also find the expectation of X. SOLUTION: In a singl
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