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Fed [463]
3 years ago
9

Jasonran 4 miles in 30 minutes which of the following is an equivalent rate of running

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

Answer:

10 miles in 75 minutes

Step-by-step explanation:

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Find the sum of the following series. Round to the nearest hundredth if necessary. 4 + 24 + 144 +... + 6718464​
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Your answer is 264

Step-by-step explanation:

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OLEGan [10]
Let D denote the event that an HD is defective, and F_i the event that a particular HD was produced at facility i.

You are asked to compute

\mathbb P(F_2\mid D)
\mathbb P(F_4\mid D)
\mathbb P(D^C)

From the definition of conditional probabilities, the first two will require that you first find \mathbb P(D). Once you have this, part (c) is trivial.

I'll demonstrate the computation for part (a). Part (b) is nearly identical.

(a)
\mathbb P(F_2\mid D)=\dfrac{\mathbb P(F_2\cap D)}{\mathbb P(D)}

Presumably, the facility responsible for producing a given HD is independent of whether the HD is defective or not, so \mathbb P(F_2\cap D)=\mathbb P(F_2)\mathbb P(D)=0.20\times0.015.

Use the law of total probability to determine the value of the denominator:

\mathbb P(D)=\mathbb P(D\mid F_1)+\mathbb P(D\mid F_2)+\mathbb P(D\mid F_3)+\mathbb P(D\mid F_4)

We know each of the component probabilities because they are given explicitly: 0.015, 0.02, 0.01, and 0.03, respectively. So

\mathbb P(D)=0.015+0.02+0.01+0.03=0.075

and thus

\mathbb P(F_2\mid D)=\dfrac{0.2\times0.015}{0.075}=0.04

(b) Similarly,
\mathbb P(F_4\mid D)=\dfrac{0.4\times0.03}{0.075}=0.16

(c)
\mathbb P(D^C)=1-\mathbb P(D)=0.925
6 0
3 years ago
Nine years ago, a woman was three times as old as her son. In eight years from now, the sum of
evablogger [386]

Answer:

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Step-by-step explanation:

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What is the POTW clubhouse.

120x120x100= your answer.

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