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Bumek [7]
2 years ago
11

Aubrey's dinner cost \$85$85dollar sign, 85. She tips the waitstaff 30\%30%30, percent for excellent service.

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
4 0
<h3><u>Question:</u></h3>

Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?

<h3><u>Answer:</u></h3>

Aubrey paid $ 25.5 to the wait staff

<h3><u>Solution:</u></h3>

Given that, Aubrey's dinner cost $ 85

She tips the waitstaff 30% for excellent service

We have to find the amount paid as tip to wait staff

Cost = $ 85

Tip = 30 %

So the tip amount paid is 30 % of 85

<h3><u>Find out 30 % of 85</u></h3>

Tip\ Amount = 30 \% \times 85\\\\Tip\ Amount = \frac{30}{100} \times 85\\\\Tip\ Amount = 0.30 \times 85\\\\Tip\ Amount = 25.5

Thus Aubrey paid $ 25.5 to waitstaff

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Answer:

P(5.5

And we can find this probability using the normal standard distribution or excel and we got:

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Step-by-step explanation:

For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places. "

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

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P(5.5

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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P(5.5

And we can find this probability using the normal standard distribution or excel and we got:

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4 0
2 years ago
Please tell me the answer and show the work please
Alexeev081 [22]
In case you can't find
  (1 * 10^-6)*(7.5 * 10^18) = (1*7.5) * 10^(-6+18) = 7.5*10^12
in your head, your calculator can help.

6 0
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