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3 years ago

0.7070707070 is an irrational number

Mathematics

2 answers:

vodomira [7]3 years ago

8 0

<h2>Answer:</h2>

The number:

0.7070707070 is NOT an irrational number

<h2>Step-by-step explanation:</h2>

Rational number--

Rational number is a number which could be expressed in the form of p/q where p and q are integers and q≠0.

also the decimal expansion of such a number is terminating or repeating decimal.

Irrational number--

The number which could not be expressed in the form of p/q where p and q are integers and q≠0 and also the decimal expansion of such a number is non-repeating and non-terminating.

Now we have to determine whether 0.7070707070 is rational or irrational.

Since, the decimal is repeating and terminating.

Hence, 0.7070707070 is a rational number.

alexdok [17]3 years ago

3 0

Is it? I would say it is not.

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In a sample of n = 6 scores, 5 of the scores are each above the mean by one point. Where is the 6th score located relative to th

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The mean of a dataset is the sum of all data elements divided by the count of the elements.

The location of the 6th score relative to the mean is 5 points below the mean

Let:

$\bar x \to$ <em> Mean</em>

$a \to$ <em> 5 scores</em>

$b \to$ <em> 6th scores</em>

Given that:

$n = 6$

The 5 scores that are 1 above the mean implies that:

$a = \bar x + 1$

The mean of a dataset is calculated using:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x =\frac{5a + b}{6}$

$\bar x =\frac{5(\bar x + 1) + b}{6}$

Open brackets

$\bar x =\frac{5\bar x + 5 + b}{6}$

Multiply both sides by 6

$6\bar x =5\bar x + 5 + b$

Make b the subject

$b = 6\bar x -5\bar x - 5$

$b = \bar x - 5$

This means that the 6th score is 5 points below the mean