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dlinn [17]
3 years ago
10

What is the value of 20/6 = p/2

Mathematics
2 answers:
Molodets [167]3 years ago
6 0
Hey there! :)
\frac{20}{6} can be simplified to \frac{10}{3}, so we have the following proportion:
\frac{10}{3} = \frac{p}{2}
We cross multiply to get:
3p = 20, and divide by 3 on both sides to get:
p = \frac{20}{3}
---
Hope this helps!
==jding713==
Wewaii [24]3 years ago
3 0
Cross multiply
40 = 6p
40/6 = p
Simplify
20/3 = p
Hope this helps!
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Every evening, two weather stations issue weather forecast for the next day. The weather forecasts are independent. On average,
EleoNora [17]

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The probability is 0.6923

Step-by-step explanation:

Let's call R the event that the next day rains, S the event that the next day has sunny weather, R2 the event that the station 2 predicts rain and S1 the event that station 1 predict sunny weather.

The probability that the next day has sunny weather given that station 1 predicts sunny weather for the next day and station 2 predicts rain is calculated as:

P(S/S1∩R2) = P(S∩S1∩R2)/P(S1∩R2)

Where P(S1∩R2) = P(R∩S1∩R2) + P(S∩S1∩R2)

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At the same way, the probability P(S∩S1∩R2) that the next day has sunny weather, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(S∩S1∩R2) = 0.5 * 0.9 * 0.2 = 0.09

Then, the probability P(S1∩R2) that station 1 predicts sunny weather for the next day, whereas station 2 predicts rain is:

P(S1∩R2) = 0.04 + 0.09 = 0.13

Finally, P(S/S1∩R2) is:

P(S/S1∩R2) = 0.09/0.13 = 0.6923

6 0
3 years ago
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