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meriva
3 years ago
15

Which logarithmic equation is equivalent to the exponential equation below? E^a=35

Mathematics
2 answers:
oee [108]3 years ago
7 0

Answer:

a = ln 35

Step-by-step explanation:

Given e^a = 35, take the natural log of both sides, obtaining:

ln e^a = ln 35. Recall that ln e^x = x, which means that ln e^a = a.

Then a = ln 35.

Next time, please share the answer choices!

Rufina [12.5K]3 years ago
7 0

Answer:

In 35 = a

Step-by-step explanation:

I just got it right for 9.5.3

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1 year ago
A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

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k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

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3 years ago
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Answer:

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Step-by-step explanation:

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posledela

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Answer:

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9330

6 0
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