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Zielflug [23.3K]
3 years ago
5

The temperature in the ice rink must stay below 50°F this morning the temperature was 71 Degrees Fahrenheit the icing runs a coo

ling device that can decrease the temperature by 3.5° every hour how many hours will it take for the temperature to fall below 50°
Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

Answer:

The temperature needs to decrease 71° - 50° = 21° that at least not greater than 50°F

As we know, the device decrease the temperature down 3.5° every hour, so

21 : 3.5 = 6 hour

Call x is the hours we need to wait to let the device decrease, we have

x > 6

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The probability that a randomly selected component needs rework when it came from line A₁ is 0.3623.

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It is given that:

P (R|A_{1})=0.05\\P (R|A_{2})=0.08\\P (R|A_{3})=0.10\\P (A_{1})=0.50\\P (A_{2})=0.30\\P (A_{3})=0.20

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P(R)=P(R|A_{1})P(A_{1})+P(R|A_{2})P(A_{2})+P(R|A_{3})P(A_{3})\\=(0.05\times0.50)+(0.08\times0.30)+(0.10\times0.20)\\=0.069

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P (A_{1}|R)=\frac{P(R|A_{1})P(A_{1})}{P(R)}=\frac{0.05\times0.50}{0.069}  =0.3623

Thus, the probability that a randomly selected component needs rework when it came from line A₁ is 0.3623.

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