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san4es73 [151]
3 years ago
9

Brennan made lemonade for the county fair. He has 12 Containers of the same size to fill. It takes 16 gallons of lemonade to fil

l the first 3. How many gallons of lemonade will the remaining 9 containers hold?
Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Answer: 48 gallons of lemonade


Step-by-step explanation:

9/3 = 3

3*16 = 48

or

16/ 3 = 5.3̅3̅

5.3̅3̅ * 9 = 48

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Answer:

a) Standard error = 2

b) Range = (76.08, 83.92)

c) P=0.69

d) Smaller

e) Greater

Step-by-step explanation:

a) When we have a sample taken out of the population, the standard error of the mean is calculated as:

\sigma_m=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{25}}=\dfrac{10}{5}=2

where n is te sample size (n=25) and σ is the population standard deviation (σ=10).

Then, the standard error of the classroom average score is 2.

b) The calculations for this range are the same that for the confidence interval, with the difference that we know the population mean.

The population standard deviation is know and is σ=10.

The population mean is M=80.

The sample size is N=25.

The standard error of the mean is σM=2.

The z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=1.96 \cdot 2=3.92

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c) We can calculate this by calculating the z-score of X=79.

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The approximate probability that a classroom will have an average test score of 79 or higher is 0.69.

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e) If the population standard deviation is smaller, the standard error for the sample (the classroom) become smaller too. This means that the values are more concentrated around the mean (less spread). This results in a higher probability for every range that include the mean.

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