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lord [1]
3 years ago
9

Which expression is equivalent?

Mathematics
1 answer:
iVinArrow [24]3 years ago
8 0

Answer:

\large\boxed{\dfrac{g^{15}}{8h^6}}

Step-by-step explanation:

\dfrac{\left(2g^5\right)^3}{\left(4h^2\right)^3}=\dfrac{\left(2g^5\right)^3}{\left(2^2h^2\right)^3}\qquad\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{2^3g^{(5)(3)}}{2^{(2)(3)}h^{(2)(3)}}=\dfrac{2^3g^{15}}{2^6h^6}=\dfrac{2^3g^{15}}{2^{3+3}h^6}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{2^3g^{15}}{2^3\cdot2^3h^6}=\dfrac{g^{15}}{8h^6}

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Using the binomial distribution, it is found that:

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  • The standard deviation of X is of 0.81.

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability </u>of a success on each trial.

The expected value of the binomial distribution is:

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The standard deviation of the binomial distribution is:

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For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

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More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago
A cubic equation has factors of (x + 2)(x^2 + 7x + 10). Determine ALL of the real roots. Which one is a double root?
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