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3 years ago

What is 1 fifth divided by 6

Mathematics

2 answers:

IgorC [24]3 years ago

7 0

1/5 divided by 6

6 = 6/1

When dividing fractions, we follow a rule called "Keep, change, flip."

It then becomes: 1/5 * 1/6 = 1/30

1 fifth divided by 6 equals 1/30

Arlecino [84]3 years ago

3 0

Answer:

Step-by-step explanation:

1/6 ÷ 6 can be written as 1/5 ÷ 6/1

For fraction divisions we can apply KFC

K - Keep the first fraction as it is

F- Flip the second fraction (in this case 6/1 becomes 1/6)

C- Change the division to multiplication

If we follow all of these steps we'll get the following:

1/5 ÷ 6/1

1/5 × 1/6 (the second fraction was flipped)

Then you simply do the number on top × the number on top (1 x 1) and the number on the bottom × the number on the bottom (5 x 6)

This would equal:

1/30

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Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error for the mean would be:

$\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14$

Part b

We want this probability:

$P(\bar X >120)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143$

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

$P( z>2.143) = 1-P(Z$

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