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    The Law of Averages

    The Law of Averages is the belief that a particular outcome of a random event will occur at a frequency that is similar to its probability if the random event happens many, many times. For example, the Law of Averages says that if you roll a die 100 times, you will roll a 4 approximately […] More

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    How is trigonometry (sin and cos) used in the real world?

    One use of Trig is to calculate the height of tall objects, such as a tree or flagpole. You may wonder how tall the object is but have no way to reach the top to measure the height. Instead, you can use trigonometry to calculate the height: Stand some distance away from the object and […] More

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    Derivatives and Integrals Simplified

    Derivative How one thing changes based on a change in another thing. For example, acceleration is the derivative of velocity. How the velocity changes with respect to time is acceleration. Integral Summing up the values of a dependent variable over a range of an independent variable. Example Assume that 10 grams of water flows out […] More

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    Permutations and Combinations Simplified

    Permutations The number of permutations is how many different ways can you arrange things. Let’s take two dice as an example: dice 1 (D1) and dice 2 (D2). There are 36 permutations, or ways you can arrange the dice: D1: 1, D2: 1 D1: 1, D2: 2 D1: 1, D2: 3 D1: 1, D2: 4 […] More

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    Fibonacci Flower

    The Fibonacci Sequence is a series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, … The next number is found by adding up the two numbers before it. More

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