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OlgaM077 [116]
2 years ago
14

Asa has 4 colored pencils. His friend purchases three times as many. If Asa’s friend buys two more 4-packs, which expression sho

ws the total amount of pencils that Asa and his friend have?
Mathematics
1 answer:
daser333 [38]2 years ago
5 0

24

Three times as many as four - 3(4) / 4*3/ 4+4+4

4 x 3 = 12

Then for 2 more 4 packs, it'd be 8 since it's either 2*4 or 4+4 (both equal eight)

And then you'd add them both together, 12+8=20

But since it's asking for both Asa and his friend's total amount, you'd add four more to it since 20 is just his friend's amount.

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Answer:

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If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

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And we can use the normal distribution table or excel to find the probabilites and we got:

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Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:

X \sim N(M,4)  

Where \mu=M and \sigma=4

We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

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If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(Z

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Answer:

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Step-by-step explanation:

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Answer:

Please check explanations

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