Suppose that the amount of snowfall per storm in Lincoln is normally distributed with µ = 4.2 inches and standard deviation µ = 2.3 inches (totally made up data). If the mayor decides that only the top 5% of storms should have school cancelled, what is the cutoff snowfall for school to be cancelled?

Answers

Answer 1

Answer:

7.9835

Step-by-step explanation:

Given that :

Mean snowfall per storm (µ) = 4.2 inches standard deviation (s) = 2.3 inches

Only the top 5% of storm should result in school being canceled :

Cut off snowfall for school to be canceled '

P(Z ≥ 5%) ; p(Z ≥ 0.05) = 1.645

Using the z relation :

Z = (x - m) / s

1.645 = (x - 4.2) /2.3

x - 4.2 = 2.3 * 1.645

x - 4.2 = 3.7835

x = 3.7835 + 4.2

x = 7.9835

Cut off snowfall for school to be canceled 7.9835

Answer 2

Answer:

hopes this photo helps

Suppose That The Amount Of Snowfall Per Storm In Lincoln Is Normally Distributed With = 4.2 Inches And

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a movie theater charges $8 for adults and $5 for children. If there were 40 people altogether and theater collected $272

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Answer: You can put this solution on YOUR website!

let's call the number of adults a and the number of children c.

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also we know that 8a+5c=272

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Answer:

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Step-by-step explanation:

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What can be used as a factor to rewrite 16f^2-25g^2?

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Step-by-step explanation:

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9514 1404 393

Answer:

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_____

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Additional comment

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Answer:

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Step by step explanation

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Answers

9514 1404 393

Answer:

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Answer:hemisphere

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Answers

Answer:

(6,-4)

Step-by-step explanation:

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Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 74 inches of snow. Currently it is snowing there at a rate of ½ inch per hour.

a) Write equations that show the amount of snow at each resort as a function of the number of hours of snow.

b) If the snow continues at this rate, when will Snow Dome have more snow than Mt. Winterpark? Show your solution process clearly.

Answers

Answer:

(a)

Snow Dome Ski: y = 65 + t

Mt. Winterpark: y = 74 + ½t

(b) Hours greater than 18

Step-by-step explanation:

Given

Snow Dome Ski

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Rate = 1 in per hour

Mt. Winterpark

Base Snow = 74 in

Rate = ½ in per hour

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y = Base Snow + Rate * t

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y = 65 + 1 * t

y = 65 + t

For Mt. Winterpark

y = 74 + ½ * t

y = 74 + ½t

Solving (b): When snow dome will have more snow.

To solve this, we set the following inequality

Snow Dome Ski > Mt. Winterpark

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65 + t > 74 + ½t

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