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2 years ago

1000^m / 100^n can be written in the form of 10^z express z in terms of m and n

Mathematics

1 answer:

Julli [10]2 years ago

5 0

Answer:

z = 3m - 2n

Step-by-step explanation:

$\frac{ {1000}^{m} }{ {100}^{n} } = {10}^{z} \\ \\ \frac{ {10}^{3m} }{ {10}^{2n} } = {10}^{z} \\ \\ {10}^{3m - 2n} = {10}^{z} \\ \\ 3m - 2n = z \\ \\ \huge \red{ \boxed{z = 3m - 2n}}$

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Answer:

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Step-by-step explanation:

Given that:

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$P(\overline x > 83.7) = 1 -P ( Z< 2.48)$

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P(x > 83.7) = 1 - 0.9934

P(x > 83.7) = 0.0066

Thus, probability = 0.0066

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