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azamat
4 years ago
15

What is the solution to the equation 7^3x ≈ 9 ?

Mathematics
1 answer:
egoroff_w [7]4 years ago
7 0
7^{3x}\approx9\\\\\log_77^{3x}\approx\log_79\\\\3x\approx\log_79\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x\approx\dfrac{\log_79}{3}=\frac{1}{3}\log_79=\log_79^\frac{1}{3}=\log_7\sqrt[3]9}
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Let the random variable <em>X</em> follow a Normal distribution with parameters <em>μ</em> = 155.4 and <em>σ</em> = 49.5.

(a)

Compute the probability that a single randomly selected value lies between 158.6 and 159.2 as follows:

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Thus, the probability that a sample mean is between 158.6 and 159.2 is 0.0411.

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