What is 4 4/9 times 2 2/3

2 answers:

8 0

4 4/9 = 40/9

2 2/3 = 8/3

$\frac{40}{9} \times \frac{8}{3} = \frac{40\times 8}{3\times 9} = \frac{320}{27} = \huge{\boxed{11\frac{23}{27}}}$

Nataly_w [17]4 years ago

4 0

If you want to multiply 4 4/9 by 2 2/3, you can calculate this using the following steps:

4 4/9 * 2 2/3 = 40/9 * 8/3 = 320/27 = 11 23/27

The result is 11 23/27.

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The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c

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Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that $\sigma = 0.26$

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.645\frac{0.26}{\sqrt{n}}$