Rohan dropped a penny from a building. After each bounce, the height of the penny is measured and recorded in the table.

Bounce Number Height (cm) After Bounce
1 1,524
2 762
3 381
4 190.5
Write an explicit and recursive formula to represent the sequence of the height of the penny after each bounce.

What is the height of the penny after bounce 10? Explain your answer by using one of the formulas you created.

In two or more complete sentences describe how to determine the appropriate model for the set of data, (1,1), (3,2), (6,3), (11,4).

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?

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