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3 years ago

Is 16.5 a rational or irrational number

Mathematics

1 answer:

Mademuasel [1]3 years ago

7 0

Answer:

It is rational

I'm sorry if it's wrong

Step-by-step explanation:

Rational: Stops

Irrational: Keeps going on

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the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,

kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the binomial distribution is used to solve this question.

<h3>Binomial probability distribution </h3>

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

One in ten students are named Joe, hence $p = \frac{1}{10} = 0.1$ .

There are 15 students in the class, hence $n = 15$ .

The probability that at least one of them is named Joe is:

$P(X \geq 1) = 1 - P(X = 0)$

In which:

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

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059$

Then:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941$

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0

3 years ago

Find the range of the following piecewise function.

Olegator [25]

Answer:

None of the Above

Step-by-step explanation:

The range is [2, ∞) excluding (2, 7) and [11, 16). No part of the piecewise function will give f(x) = 5, for example.

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3 years ago

2 x 3 x 6 = 3 x 2 x 6 What property is this?

RoseWind [281]

Distributive Property
The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac".

6 0

3 years ago

Jacob averages 4 strikes for every 9 frames that he bowls. If he bowled 144 strikes in a season, how many frames did Jacob bowl?

katen-ka-za [31]

He had 36 frames because 4x36 is 144.

3 0

3 years ago

Read 2 more answers

100 points!!! Has anyone done unit 5 test for AP World history?? Edge2020 Answers pls.. Will mark brainliest!!!

vaieri [72.5K]

Can you post what it says? I could probably help you out.

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