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andreev551 [17]
3 years ago
12

Use the drop-down menus to choose steps in order to correctly solve 5m – 8 = 3m + 8 for m.

Mathematics
2 answers:
AlladinOne [14]3 years ago
8 0

Answer:

8

Step-by-step explanation:

5m – 8 = 3m + 8

collecting like terms

5m - 3m = 8 + 8

2m = 16

m = 8

don't forget to rate it if it helped you

olga nikolaevna [1]3 years ago
3 0
5m - 3m = 8 + 8
2m = 16
m = 8
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The average amount of water in randomly selected 16-ounce bottles of water is 16.15 ounces with a standard deviation of 0.45 oun
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Answer:

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 16.15, \sigma = 0.45, n = 35, s = \frac{0.45}{\sqrt{35}} = 0.0761

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This is the pvalue of Z when X = 15.99. So

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