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Feliz [49]
3 years ago
10

The graph of y = 2x is shown, along with the reflection line y = x. What is the equation of its inverse logarithmic function, an

d what are its domain and range?
y = log2x, domain: x > 0, range: all real numbers
y = logx2, domain: x > 0, range: all real numbers
y = 2−x, domain: all real numbers, range: y > 0
y = log2x, domain: all real numbers, range: y > 0

Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0
y=2^x\\\\\log_2 y=\log_22^x\\\\\log_2 y=x\\\\\boxed{y=\log_2 x}\\\\Answer:\boxed{y=\log_2x;\ D:x \ \textgreater \  0;\ R:y\in\mathbb{R} }

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In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability
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Answer:

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Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by P(Z>\frac{(25-27)}{3.29})

What is the probability of success of a single trial of this experiment?

Options:

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Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

\mu =\frac{np}{\sigma}=\sqrt{np(1-p)}

now,

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

so,

by comparing with P(Z>\frac{(25-27)}{3.29}), we get:

μ=np=27

\sigma=\sqrt{np(1-p)} =3.29

put np=27

we get:

\sigma=\sqrt{27(1-p)} =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

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Answer:

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Step-by-step explanation:

4+k=11

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Step-by-step explanation:

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