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Serga [27]
3 years ago
10

Write log4 14 as a logarithm of base 3. HELP!!!!!

Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0

Answer:

\log_414=\frac{\log_{3}14}{\log_{3}4}

Step-by-step explanation:

We have given  log_4 14 is given we need to convert it in logarithmic base 3

Using log base change property

\log_ab=\frac{\log_cb}{\log_ca}

So, here we have to change log_4 14  using log base change property with base 3

where, a=4,b=14 and c=3

Substituting these values in log base change property and we get

Therefore, log_4 14=\frac{\log_{3}14}{\log_{3}4}

Sonja [21]3 years ago
3 0
It would be log3 14/log3 4
Hope this helps. (:
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Step-by-step explanation:

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a random sample of 4 claims are selected from a lot of 12 that has 3 nonconforming units. using the hypergeometric distribution
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Answer:

The probability that the sample will contain exactly 0 nonconforming units is P=0.25.

The probability that the sample will contain exactly 1 nonconforming units is P=0.51.

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Step-by-step explanation:

We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.

We can write the probability mass function as:

P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}

where k is the number of non-conforming units on the sample of n=4.

We can calculate the probability of getting no non-conforming units (k=0) as:

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P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51

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