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valentina_108 [34]
3 years ago
11

Michael and Imani go out to eat for lunch if their food and beverages cost 25.30 and there is an 8% meals tax how much is the bi

ll
Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:  $27.32


Step-by-step explanation:


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In a study of wait times at an amusement park, the most popular roller coaster has a mean wait time of 17.4 minutes with a stand
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Answer: A: 0.0031

Step-by-step explanation:

Given : In a study of wait times at an amusement park, the most popular roller coaster has a mean wait time of 17.4 minutes with a standard deviation of 5.2 minutes.

i.e. \mu=17.4 and \sigma=5.2

We assume that the wait times are normally distributed.

samples size : n= 30

Let x denotes the sample mean wait time.

Then, the probability that the mean wait time is greater than 20 minutes will be :

P(x>20)=1-P(x\leq20)\\\\=1-P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\leq\dfrac{20-17.4}{\dfrac{5.2}{\sqrt{30}}})\\\\=1-P(z\leq2.74)\ \ [\because\ z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-0.9969\ \ [\text{ By z table}]\\\\=0.0031

Hence, the probability that the mean wait time is greater than 20 minutes.= 0.0031

Thus , the correct answer is A: 0.0031 .

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