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Solve the following quadratic equation.
8x2 + 2x + 1 = 0
Concept: undefined >> undefined
Solve the following quadratic equation.
8x2 + 2x + 1 = 0
Concept: undefined >> undefined
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Solve the following quadratic equation.
8x2 + 2x + 1 = 0
Concept: undefined >> undefined
Evaluate the following:
`lim_(x->0)[((25)^x - 2(5)^x + 1)/x^2]`
Concept: undefined >> undefined
Evaluate the following:
`lim_(x->0)[((25)^x -2(5)^x +1)/(x^2)]`
Concept: undefined >> undefined
Evaluate the following:
`lim_(x->0) [((25)^x - 2(5)^x + 1)/x^2]`
Concept: undefined >> undefined
Solve the following quadratic equation.
8x2 + 2x + 1 = 0
Concept: undefined >> undefined
A problem in statistics is given to three students A, B, and C. Their chances of solving the problem are `1/3`, `1/4`, and `1/5` respectively. If all of them try independently, what is the probability that, problem is solved?
Concept: undefined >> undefined
A problem in statistics is given to three students A, B, and C. Their chances of solving the problem are `1/3`, `1/4`, and `1/5` respectively. If all of them try independently, what is the probability that, problem is not solved
Concept: undefined >> undefined
A problem in statistics is given to three students A, B, and C. Their chances of solving the problem are `1/3`, `1/4`, and `1/5` respectively. If all of them try independently, what is the probability that, exactly two students solve the problem?
Concept: undefined >> undefined
The probability that a 50-year old man will be alive till age 60 is 0.83 and the probability that a 45-year old woman will be alive till age 55 is 0.97. What is the probability that a man whose age is 50 and his wife whose age is 45 will both be alive after 10 years?
Concept: undefined >> undefined
One-shot is fired from each of the three guns. Let A, B, and C denote the events that the target is hit by the first, second and third guns respectively. assuming that A, B, and C are independent events and that P(A) = 0.5, P(B) = 0.6, and P(C) = 0.8, then find the probability that at least one hit is registered.
Concept: undefined >> undefined
An urn contains four tickets marked with numbers 112, 121, 122, 222 and one ticket is drawn at random. Let Ai (i = 1, 2, 3) be the event that ith digit of the number of the ticket drawn is 1. Discuss the independence of the events A1, A2, and A3.
Concept: undefined >> undefined
The odds against a certain event are 5: 2 and odds in favour of another independent event are 6: 5. Find the chance that at least one of the events will happen.
Concept: undefined >> undefined
The odds against a husband who is 55 years old living till he is 75 is 8: 5 and it is 4: 3 against his wife who is now 48, living till she is 68. Find the probability that the couple will be alive 20 years hence.
Concept: undefined >> undefined
The odds against a husband who is 55 years old living till he is 75 is 8: 5 and it is 4: 3 against his wife who is now 48, living till she is 68. Find the probability that at least one of them will be alive 20 years hence.
Concept: undefined >> undefined
The odds against student X solving a business statistics problem are 8: 6 and odds in favour of student Y solving the same problem are 14: 16 What is the chance that the problem will be solved, if they try independently?
Concept: undefined >> undefined
The odds against student X solving a business statistics problem are 8: 6 and odds in favour of student Y solving the same problem are 14: 16 What is the probability that neither solves the problem?
Concept: undefined >> undefined
If `omega` is a complex cube root of unity, show that `(2 - omega)(2 - omega^2)` = 7
Concept: undefined >> undefined
If ω is a complex cube root of unity, show that (2 + ω + ω2)3 - (1 - 3ω + ω2)3 = 65
Concept: undefined >> undefined
