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muminat
3 years ago
11

The directions are with the question. Please answer numbers 6 through 10, please.

Mathematics
1 answer:
prisoha [69]3 years ago
4 0

Answer:

6) 4 (tiny 5) in the upper corner

7) 9 (tiny 2) in the upper corner

8) 4 (tiny 2) in the upper corner

9) 3 (tiny4) in the upper corner

10) 5 (tiny 5) in the upper corner

Step-by-step explanation:

Once you get the hang of it, it's quite easy! Here are the steps for how I figured it out:

1) Figured out what number they are giving me. For the first one, I saw that they gave me the number 4. For the second one, they gave me the number 9 etc.

2) Next, I looked at each problem individually. For the first one, you know that they are giving you the number 4. You would then count the amount of numbers, in this case 4, that you see in the equation.

3) Now knowing the numbers of numbers in the equation, you'd write it in exponential notation. For the first one, they are giving you the number 4, however, they are giving it to you 5 times. Thus, by writing the number 5, smaller than the number 4, you are allowing you and your math teacher to know that you have to take the number 4 and multiply it by itself 5 times.

4) Try doing this for the others too. Trust me, once you get the hang of it, it's pretty simple. Hope this helped!

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Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

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Step-by-step explanation:

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.

In this problem, we have that:

\mu = 250, \sigma = 75

If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?

What is the percentile of 350?

This is the pvalue of Z when X = 350.

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

Z = \frac{250 - 150}{75}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082.

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If not, what number of shelter openings will be needed?

The 95th percentile, which is X when Z = 1.645. So

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

1.645 = \frac{X - 150}{75}

X - 150 = 1.645*75

X = 274

274 shelters will be needed.

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