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3 years ago

HELP! 20 POINTS!

Mathematics

1 answer:

adell [148]3 years ago

4 0

Answer:

Small tire, 9in ----> 127 rotations

Big tire, 30in ------> 38 rotations

Step-by-step explanation:

First, we convert the values of feet to inches

600 feet = 7200 in

Each rotation of a tire is equivalent to a traveled distance equal to the perimeter

P = 2*pi*radius

This means that if we divide the traveled distance by the perimeter of each tire, we can find out the number of rotations.

Small tire, 9in

7200 in / 2*pi*9in = 127 rotations

Big tire, 30in

7200 in / 2*pi*30in = 38 rotations

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40.1% probability that he will miss at least one of them

Step-by-step explanation:

For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution to solve this question.

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In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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This means that $p = 0.95$

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This means that $n = 10$

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Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So

$P(X = 10) + P(X < 10) = 1$

We want P(X < 10). So

$P(X < 10) = 1 - P(X = 10)$

In which

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