Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to find a
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Given:
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
To find:
The probability of both events occurring, in that order.
Solution:
If A and B are two independent events, then
It is given that,
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., , therefore
.
Hence, the correct option is A.
The position function of a particle is given by:
The velocity function is the derivative of the position:
The particle will be at rest when the velocity is 0, thus we solve the equation:
The coefficients of this equation are: a = 2, b = -9, c = -18
Solve by using the formula:
Substituting:
We have two possible answers:
We only accept the positive answer because the time cannot be negative.
Now calculate the position for t = 6: