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Lemur [1.5K]
3 years ago
14

A factory needs to produce 1,800 jars of peanut butter on a certain day.

Mathematics
1 answer:
Naily [24]3 years ago
8 0
In two hours, they have produced 600 jars. so they are working at 300 jars per hour. 1800-600=1200 and 1200 divided by 300 is 4 so they will finish work at 10:30+4:00, 14:30/2:30pm
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Answer:

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(b) The probability that at least one of them will show up is 0.75.

(c) The probability that neither Dave nor Mike will show up is 0.25.

Step-by-step explanation:

Denote the events as follows:

<em>D</em> = Dave will show up.

<em>M</em> =  Mike will show up.

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(a)

Compute the probability that both Dave and Mike will show up as follows:

P(D\cap M)=P(D)\times P (M)\\=[1-P(D^{c})]\times [1-P(M^{c})]\\=[1-0.55]\times[1-0.45]\\=0.2475\\\approx0.25

Thus, the probability that both Dave and Mike will show up is 0.25.

(b)

Compute the probability that at least one of them will show up as follows:

P (At least one of them will show up) = 1 - P (Neither will show up)

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(c)

Compute the probability that neither Dave nor Mike will show up as follows:

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