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Advanced Math Problems: Probability, Graphing, and Equations

Dive into a range of advanced math challenges, including probability, graphing points, and formulating equations. Calculate the likelihood of selecting drinks other than water from a mixture of juices, graph points A, B, C, and D to find midpoints and distances, and tackle equations representing real-world scenarios, such as Mr. Liu's quest to catch Pokémon. Perfect for sharpening your problem-solving skills and understanding mathematical concepts involved in statistics, geometry, and algebra.

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Advanced Math Problems: Probability, Graphing, and Equations

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  1. Solve (5pts)

  2. Find (5pts) • =

  3. Simplify (5pts)

  4. Solve (5pts)

  5. Solve, graph and find the domain (5pts)

  6. Solve, graph and find the domain (5pts)

  7. 5pts • A bucket contains 3 bottles of apple juice, 2 bottles of orange juice, 6 bottles of tomato juice, and 8 bottles of water. If Kira randomly selects a bottle, what is the probability that she will select a drink other than water?

  8. Solve (5pts)

  9. 5pts • What is the formula for nCr? • What is the formula for nPr?

  10. Simplify (5pts)

  11. Graph and label and solve (20pts) • A (3,-1) • B (2,2) • C (-1,2) • D(-4,-4) • Find the midpoint of • Find Distance of

  12. Situation (25pts) • Mr. Liu is trying to become a pokemon master. In 2 hours, he caught 5 pokemon. In 6 hours, he caught 20 pokemon. • What are your variables? Identify them • Write an equation that represent this situation • When will Mr. Liu catch all 649 pokemons? • Write an equation that’s parallel to this equation • Write an equation that’s perpendicular to this equation

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