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Karolina [17]
3 years ago
7

The height that a properly inflated basketball bounces decreases exponentially by 27.8% with each subsequent bounce after the in

itial drop. A local basketball league tests the inflation of their basketballs by dropping them from a height of 6 feet. Which equation can be used to model the height of the basketball, H, after b bounces?
Mathematics
1 answer:
n200080 [17]3 years ago
3 0

Answer:

H (b) = 0.722^b(6)

Step-by-step explanation:

The first time the basketball bounces it reaches a height of (1-0.278)(6) = (0.722) (6).

The second time the basketball bounces it reaches a height of (0.722) (0.722) (6) = [(0.722) ^ 2] (6). Therefore, after b rebounds the height that the basketball will reach is given by:

H (b) = 0.722^b(6)

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Step-by-step explanation:

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We have to find the probability of being stuck in the snow AND requiring a tow truck which can be given as P(S and T)

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Using the given formula for our case we can modify the formula as:

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Therefore, there is 63% (0.63) chance that you will get stuck in the snow with your car AND require a tow truck to pull you out

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