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nadya68 [22]
3 years ago
8

A candle maker has 4 1/2 pound of clear wax. He wants to cut the wax into pieces that are 2/3 pound each.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0
4 1/2 / 2/3 = 6 3/4
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"A shipment has 20 items. Five items will be picked randomly and checked for quality. If at least one item is defective, then th
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Answer:

1 - \frac{(20-k)(19-k)(18-k)(17-k)(16-k)}{20*19*18*17*16}

Step-by-step explanation:

If k items out of 20 total items are defective, then the number of non-defective item is 20 – k. The probability of choosing 5 items where all of them are non-defective is

- For the 1st slot the chance is (20 – k)/20

- For the 2nd slot the chance is (20-k-1)/(20-1) = (19-k)/19

- For the 3rd slot: (18 – k)/18

- 4th : (17 – k)/17

- 5th: (16 – k)/16

The probability in total would be

\frac{(20-k)(19-k)(18-k)(17-k)(16-k)}{20*19*18*17*16}

So the probability of selecting at least 1 defective item is the inverse of this, which is

1 - \frac{(20- k)(19-k)(18-k)(17-k)(16-k)}{20*19*18*17*16}

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3 years ago
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Step-by-step explanation:

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