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murzikaleks [220]
3 years ago
14

20 teachers have a cup of tea at break time. 2/5 of these teachers are women. 3/4 of the teachers had sugar in their tea, 3/5 of

which were male. How many male teachers didn't have sugar?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

3 male teachers didn't have sugar

Step-by-step explanation:

total number of male teachers = 3/5 x 20 = 12

3/4 of teachers have sugar, which is 15

3/5 of 15 = 9 (number of males who had sugar)

total number of males (12) minus number who had sugar (9) equals number of males who didn't have sugar (3)

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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
siniylev [52]

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:

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

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Now, find the margin of error M as such

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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}}

0.1\sqrt{n} = 1.645*0.26

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

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Step-by-step explanation:

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