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Neporo4naja [7]
3 years ago
9

(3x)^2 write in expanded form use parentheses to indicate multiplication

Mathematics
1 answer:
Korolek [52]3 years ago
6 0

Expand (3x)^2

When you see ^2, it means that the term(s) inside the parenthesis should be copied once, and multiplied.

(3x)^2 = (3x)(3x)

(3x)(3x) is your expanded form

<em>~Rise Above the Ordinary</em>

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A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
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The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

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Normal probability distribution

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

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In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

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74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

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

By the Central Limit Theorem

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

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X - 220 = 0.643*2.1974

X = 221.41

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Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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X - 220 = -0.643*2.1974

X = 218.59

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