Mathematics, 19.03.2021 02:00 angie249
2. Estimating π. Suppose we had forgotten the formula for computing the area of a circle. All is not lost. We can easily use the computer to approximate the circle’s area by simulation. For convenience, we want to determine the area of the unit circle with radius 1. We name this unknown constant Pi (or π). We know that the area covered by a square with the corner points (−1, 1), (1, 1), (1, −1) and (−1, −1) equals 4, as the length of each side is 2. This square completely contains the unit circle. If we had a random point somewhere in the square, we could calculate the probability that the point is also inside the unit circle. A random point Z is determined by two coordinates, say X and Y , which have independent uniform distributions on the interval [−1, 1]. The probability of Z being inside the circle is given by the ratio of the circle’s area and the square’s area or, more mathematically, letting P = probability: P(Z is inside the circle) = (area of the circle)/(area of the rectangle) = Pi/4. Knowing this, we can estimate (the unknown) Pi
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Mathematics, 21.06.2019 18:00, hendersontianna05
Pat listed all the numbers that have 15 as a multiple write the numbers in pats list
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Mathematics, 21.06.2019 21:30, bjbass899
40) linda was making chocolate truffles for the first day of school. the recipe for 20 chocolate truffles is: i cup of cream 2 cups of dark chocolate she noticed this will not be enough truffles for the 42 sure that all students in each homeroom next year. to be sure that all students receive a truffle, linda must adjust her recipe. a. complete the recipe for 42 truffles cups of cream - cups of dark chocolate work:
Answers: 2
2. Estimating π. Suppose we had forgotten the formula for computing the area of a circle. All is not...
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