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Kazeer [188]
3 years ago
8

Vocabulary Is a repeating decimal a rational number?

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Answer:

yes

Step-by-step explanation:

repeating decimal. when a fraction is changed to a decimal and the remainder is not zero, a digit or a block of digits will eventually start to repeat. terminating or repeating decimal. since a rational number is a number that can be written as a fraction, every rational number can be expressed as either.

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Answer:

There is a 34.3% probability that he makes all of the​ shots.

Step-by-step explanation:

For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

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And p is the probability of X happening.

In this problem we have that:

n = 3, p = 0.7

What is the probability that he makes all of the​ shots?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.7)^{3}.(0.3)^{0} = 0.343

There is a 34.3% probability that he makes all of the​ shots.

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