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PtichkaEL [24]
3 years ago
9

91/2 gallons =? quarts

Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0
 the answer is 3648 quarts
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Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th
Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

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 = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

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

1.28 = \frac{X - 550}{100}

X - 550 = 100*1.28

X = 678

The value that represents the 90th percentile of scores is 678.

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What is 5 tenth of 2 tenth
Fudgin [204]
5/10 and 2/10 beacuse tenth is the bottom number
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Ronch [10]
The diagram in the question is a cylinder.
;The volume of a cylinder is given by;

Volume = πr²h
;Where π=3.14
             r⇒radius of the base of the cylinder and
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∴Volume = 3.14×5²×3
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To the nearest cubic = 236 ft³

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Answer:

\text{D. The terms may be combined.}

Step-by-step explanation:

Recall that \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}. Using this, we can simplify and combine the two terms:

6\sqrt{32}-12\sqrt{72},\\=6\cdot \sqrt{4}\cdot \sqrt{8}-12\cdot \sqrt{9}\cdot \sqrt{8},\\=6\cdot 2\cdot \sqrt{8}-12\cdot 3\cdot \sqrt{8},\\=12\sqrt{8}-36\sqrt{8},\\=-24\sqrt{8}=-24\cdot\sqrt{4}\cdot\sqrt{2}=\boxed{-48\sqrt{2}}. Therefore, the terms may be combined.

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What is the square root of -38
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The square root -38 is sqrt(38)i, or approximately 6.2i.
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