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elena-s [515]
3 years ago
5

Simplify √ 105 . A. 2√ 3 B. √ 105 C. 2√ 7 D. √ 42

Mathematics
2 answers:
Digiron [165]3 years ago
8 0
B. \sqrt{105}

The multiples of 105 are 3,5,and 7 so none of them can come out of the square root so it cannot be simplified.
VashaNatasha [74]3 years ago
5 0

Answer:

The answer is the option B

\sqrt{105}

Step-by-step explanation:

we have

\sqrt{105}

we know that

105=3*5*7

so

substitute

\sqrt{105}=\sqrt{3*5*7} -------> it can not be simplified

therefore

the answer is

\sqrt{105} ----> the expression can not be simplified

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Answer:

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Step-by-step explanation:

Let's call D1 the event that the first radio is defective and D2 the event that the second radio is defective.

So, if we select both radios any factory, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1) = P(D2∩D1)/P(D1)

Taking into account that 0.02 is the probability that a radio produced at factory A is defective, P(D2/D1) for factory A is:

P(D2/D1)_A=\frac{0.02*0.02}{0.02} =0.02

At the same way, if both radios are from factory B, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1)_B=\frac{0.01*0.01}{0.01} =0.01

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P(D2/D1)_C=\frac{0.05*0.05}{0.05} =0.05

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P(A)=1/3

P(B)=1/3

P(C)=1/3

Then, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1)=P(A)P(D2/D1)_A+P(B)P(D2/D1)_B+P(C)P(D2/D1)_C

P(D2/D1) = (1/3)*(0.02) + (1/3)*(0.01) + (1/3)*(0.05)

P(D2/D1) = 0.02667

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