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spin [16.1K]
3 years ago
12

In our amusement park that we built this week, the ride Diablo’s Domain had revenue of $250,000,000 in its first year as expecte

d. The company paid $750,000 for insurance or $3 for every $1,000 in revenue. If the park is wildly successful and revenue increases by 25% in the second year and the rate of $3 for every $1,000 holds true, how much would it pay for insurance? Do you think it’s reasonable for insurance costs to increase proportionally? Why or why not?
Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

Answer:

The amount to be paid for insurance will be $ 937,500. In this context, it is reasonable that insurance costs increase proportionally, as the ride will have a greater use and, therefore, a greater exposure to risk.

Step-by-step explanation:

Given that the amusement park Diablo's Domain ride generated $ 250,000,000 in revenue, and the company paid $ 750,000 in insurance for that game ($ 3 for every $ 1,000 in profit), to determine the amount of insurance that should be paid if the winnings increase by 25% and the same proportion of 3/1000 to be paid is maintained, the following calculation must be made:

(250,000,000 x 1.25) x (3/1000) = X

312,500,000 x 0.003 = X

937,500 = X

Therefore, the amount to be paid for insurance will be $ 937,500.

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2 years ago
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th
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Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

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    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

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The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

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=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

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From the z table  the area under the normal curve to the left corresponding to  1.75  is  

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Fail to reject the null hypothesis

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