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Ivanshal [37]
3 years ago
10

For an outdoor concert by the city​ orchestra, concert organizers estimate that 17,000 people will attend if it is not raining.

If it is​ raining, concert organizers estimate that 4,000 people will attend. On the day of the​ concert, meteorologists predict a 70​% chance of rain. Determine the expected number of people who will attend this concert.
Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

Expected number of people in concert = 7900 people

Step-by-step explanation:

We have given,

In an concert,

if it's not raining , number of people will attend concert = 17000 people

If it's raining , then number of people will attend concert = 4000 people

Since, probability of raining = 70% = 0.7

Then probability of not raining = 30% = 0.3

So,

Expected number of people in concert = 0.3 * 17000 + 0.7 * 4000

Expected number of people in concert = 5100 + 2800

Expected number of people in concert = 7900 people

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Step-by-step explanation:

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The edge length of a cube is 17 cm. Identify the length of its diagonal. Round to the nearest tenth, if necessary. HELP PLEASE!!
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Step-by-step explanation:

The length of the space diagonal can be found to be the root of the squares of the three orthogonal edge lengths. For a cube, those edge lengths are all the same, so the diagonal length is ...

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_____

Consider a rectangular prism with edge lengths a, b, c. Then the face diagonal of the face perpendicular to edge "a" has length ...

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and the space diagonal has length ...

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