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Dvinal [7]
3 years ago
14

You interview all of your family members at a picnic and record their age and shoe sizes. The data is shown in the table. Which

number summarizes all of the data points in the age column with a single number?
a 10


b 12.7


c 17.9


d 45

Mathematics
2 answers:
Elan Coil [88]3 years ago
5 0
C. It is the mean. Add all of the ages up and divide by how many there are.
Kruka [31]3 years ago
5 0
C 17.9, because you have to add up all the ages and then divide it by how many of them their are. Hope this helps:)
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An Epson inkjet printer ad advertises that the black ink cartridge will provide enough ink for an average of 245 pages. Assume t
Neko [114]

Answer:

35.2% probability that the sample mean will be 246 pages or more

Step-by-step explanation:

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

Normal probability distribution

Problems of normally distributed samples are solved using 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}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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 = 245 \sigma = 15, n = 33, s = \frac{15}{\sqrt{33}} = 2.61

What the probability that the sample mean will be 246 pages or more?

This is 1 subtracted by the pvalue of Z when X = 246. So

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

By the Central Limit Theorem

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

Z = \frac{246 - 245}{2.61}

Z = 0.38

Z = 0.38 has a pvalue of 0.6480.

1 - 0.6480 = 0.3520

35.2% probability that the sample mean will be 246 pages or more

4 0
3 years ago
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lora16 [44]

Answer:

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Step-by-step explanation:

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So  (\sqrt{34} )^{2}  should equal  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}

  • <em>We also know that  (\sqrt{a} )^{2}=(\sqrt{a})(\sqrt{a})=a</em>

Hence,  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}=18+18=36  , and

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