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Brut [27]
3 years ago
13

Which logarithmic equation is equivalent to the exponential equation below? e^a=47.38

Mathematics
2 answers:
tino4ka555 [31]3 years ago
8 0
\bf \textit{exponential form of a logarithm}\\\\
log_{{  a}}{{  b}}=y \implies {{  a}}^y={{  b}}\qquad\qquad 
%  exponential notation 2nd form
{{  a}}^y={{  b}}\implies log_{{  a}}{{  b}}=y \\\\
-------------------------------\\\\
e^a=47.38\implies log_e(47.38)=a\implies ln(47.38)=a
Vesnalui [34]3 years ago
3 0

Answer:

In 47.38=a

Step-by-step explanation:

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While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between
aleksandr82 [10.1K]

Answer:

The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

Step-by-step explanation:

Let the random variable <em>X</em> denote the water depths.

As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:

P(2.25

                               =\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55

Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

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Tomtit [17]

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Step-by-step explanation:

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