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Minchanka [31]
3 years ago
10

What is 32 = 3.2c so what is the letter c

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
5 0
C = 10

because if you multiply 3.2 times 10, the decimal will move one place to the right, making the equation true. 32 = 32.
Elena-2011 [213]3 years ago
4 0
Whatever you do to one side, you have to do to the other.
32=3.2c
We need c by itself, so we need to divide both sides by 3.2.
32/3.2=10
C=10
Let’s make sure c equals ten by putting in ten for c.
3.2(10)=32
32=32
C=10
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You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid
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Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

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.

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

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.

5 0
2 years ago
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