Mathematics: Is 3.39 a rational number

Is 3.39 a rational number - id33913570080, micknero

Ответ:

tinagibbs98

01.07.2021

Mathematics

yes it can be written as 'a/b'

Step-by-step explanation:

3.39 is 3 39/100 which, as an improper fraction, is 339/100

as long as a decimal terminates or repeats then it is rational

examples:

.333 repeating is rational

the symbol π does not terminate or repeat so it is considered to be irrational

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Ответ:

makennahudson94

17.10.2021

Mathematics

The probability that at least 23% of 400 randomly sampled candies will be orange is 6.68% and this can be determined by using the given data.

Given :

According to a candy company, packages of a certain candy contain 20% orange candies.The random sample of 400 candies will contain 23% or more orange candies.

Given that p = 0.2 and n = 400.

Now, to evaluate the mean the following formula can be used:

$\mu = np = 0.2\times 400$

$\mu = 80$

Now, to evaluate standard deviation following formula can be used:

$\rm \sigma = \sqrt{V(x)}$

$\rm \sigma = \sqrt{np(1-p)}$

$\rm \sigma = \sqrt{400\times 0.2\times 0.8} = 8$

Now, to determine the probability that at least 23% of 400 randomly sampled candies will be orange, first, find the value of X.

$\rm X = 0.23\times 400 = 92$

Now, the value of Z is given by:

$\rm Z = \dfrac{X-\mu }{\sigma}$

$\rm Z=\dfrac{92-80}{8}$

Z = 1.5 has a p-value 0.9332

Now, 1 - 0.9332 = 0.0668.

So, the probability that at least 23% of 400 randomly sampled candies will be orange is 6.68%.

For more information, refer to the link given below:

link

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Is 3.39 a rational number

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