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3 years ago

I don't know whats wrong, please help. It is the exact formula.

Mathematics

2 answers:

noname [10]3 years ago

8 0

The equation for circumference is: 2 x Pi x r

You used the diameter (9), rather than the radius. The radius is the diameter divided by 2. Therefore, your equation should be: 2 x 3.142 x 4.5, NOT 2 x 3.142 x 9.

This means your answer should be 28.3. Hope this helps! Just a minor mistake (:

const2013 [10]3 years ago

4 0

The formula for circumference is 2 $\pi$ r, where r is equal to radius.
It states to use 3.142 for pi
It also provides you with the diameter, not the radius, so you have to divide it by two to get 4.5
2*3.142*4.5= approximately 28.278 or 28.3

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First of all, solve the equation for r:

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<em>Additional comment</em>

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(b) The probability of getting the correct combination in the first try is $\frac{1}{216000}$ .

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It is provided that repetitions are allowed.

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So there are 60 options for the first cylinder.

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And there are 60 options for the third cylinder.

So the total number of possible combinations is:

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Thus, the number of different lock combinations is 216,000.

(b)

The events of getting a correct combinations of the three-cylinder combination lock implies that all the three cylinder are set at the correct numbers.

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The probability of getting the correct number for the first cylinder is:

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P (Number on 2nd cylinder is correct) = $\frac{1}{60}$ .

And similarly for the third cylinder the probability of getting the correct number is:

P (Number on 3rd cylinder is correct) = $\frac{1}{60}$ .

So the probability of getting the correct combination in the first try is:

P (Correct combination in the 1st try) = $\frac{1}{60}\times \frac{1}{60}\times \frac{1}{60}=\frac{1}{216000}$ .

Thus, the probability of getting the correct combination in the first try is $\frac{1}{216000}$ .

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