In this chapter you will learn:
- the relationships between angles, arcs, and line segments in a circle
- area models and two-way tables that provide the basis for calculating conditional probabilities and determining whether events are independent
- the Fundamental Principal of Counting and other formulas for permutations and cominations
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Arcs and Angles: |
Circumference/Diameter Ratio: |
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Area Models and Two-Way Tables:
provide the basis for calculating conditional probabilities and determining whether events are independent. Fundemental Principle of Counting: dIf you have 2 events: 1 event can occur m ways and another even can occur n ways, then the number of ways that both can occur is m*n. Example Event 1 = 4 types of meats Event 2 = 3 types of bread How many different types of sandwiches can you make? 4*3 = 12 |
anMeasure of an Arc - is measured in degrees and is a fraction of the 360 degree circle. Length of an Arc - how far it is from one point to another as you travel along the circle. Factorial Notation: In general, if n is a positive integer, then n factorial is denoted by n! is the product of all integers less than or equal to n. n! = n(n-1)(n-2)...(1) As a special case, we define 0! = 1 Example 6! = 6(5)(4)(3)(2)(1) = 720 Permutations and Combinations:
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Points of Concurrency: