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2 years ago

What is the base 5 representation of the number 219?

Mathematics

1 answer:

Stels [109]2 years ago

4 0

The easiest way to do this is to start with the power of 5 that is just under 219.

125 would be the closest power of 5

Now subtract 125 from 219 = 94

=====================

The highest power of 5 closest to 94 is 25. You have to multiply 25 * 3 to get a number close enough to 94 that leaves a remainder under 25

94 - 75 = 19

=======================

19 - 3 * 5 = 4 Same argument as above.

219_10 = 1334_5

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The experimental probability that a light build chosen at random has no defects is 99.5 % or P(A)=0.995.

Step-by-step explanation:

let S be the sample space for the inspection of the light bulbs.

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let ' A ' be the event of no defects bulbs.

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Now the Experiment probability for a light bulb chosen has no defects will be given by,

$P(A)=\dfrac{n(A)}{n(S)}$

Substituting the values we get

$P(A)=\dfrac{796}{800}=0.995$

The experimental probability that a light build chosen at random has no defects is 99.5 % or P(A)=0.995.

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