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Soloha48 [4]
3 years ago
15

Is -5/8+3/5 irrational number

Mathematics
1 answer:
natka813 [3]3 years ago
5 0
Any number that you can completely write with digits is rational.
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Which logarithmic equation is equivalent to the exponential equation below?
aleksandr82 [10.1K]

Option B: \ln 6=5 x is the correct answer.

Explanation:

The exponential equation is e^{5 x}=6

If f(x)=g(x), then \ln (f(x))=\ln (g(x))

Thus, the equation becomes

\ln \left(e^{5 x}\right)=\ln (6)

Applying log rule, \log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x) and thus the equation becomes

5 x \ln (e)=\ln (6)

Since, we know that, \ln (e)=1, using this we get,

5 x=\ln (6)

Hence, the logarithmic equation which is equivalent to the exponential equation e^{5 x}=6 is \ln 6=5 x

Thus, Option B is the correct answer.

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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A sample of 1000 college students at NC State University were randomly selected for a survey. Among the survey participants, 102
cupoosta [38]

Answer:

The upper endpoint of the 99% confidence interval for population proportion is 0.13.

Step-by-step explanation:

The confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

<u>Given:</u>

<em>n</em> = 1000

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*Use the standard normal table for the critical value.

Compute the 99% confidence interval for population proportion as follows:

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Thus, the upper limit of the 99% confidence interval for population proportion is 0.13.

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First one is false and the second one is true
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