A restaurant has tables that seat 6 people and booths that seat 4 people. If the restaurant a total of 37 tables and booths that
2 answers:
Answer:
21 Booths
Step-by-step explanation:
Let there are T tables and B boots in the restaurant.
For equation 1.
Each table can accommodate 6 people and each booth seat 4 people and total persons accommodated = 180
Therefore, equation will be 6T + 4B = 180 -------(1)
For equation 2.
Total seats and booths in the restaurant are 37.
T + B = 37---------(2)
Now we will multiply equation 2 by 6 and then subtract the new equation from equation (1)
(6T + 4B) - 6(T + B) = 180 - 6×37
6T + 4B - 6T - 6B = 180 - 222
-2B = - 42
2B = 42
B = 21
Therefore, there are 21 booths in the restaurant.
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Using the Empirical Rule, it is found that:
- a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
- b) Approximately 95% of the amounts are between $38.03 and $49.11.
- c) Approximately 68% of the amounts fall between $40.73 and $46.27.
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The Empirical Rule states that, in a <em>bell-shaped </em>distribution:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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Item a:
Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.
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Item b:
Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.
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Item c:
- 68% is within 1 standard deviation of the mean, so:
Approximately 68% of the amounts fall between $40.73 and $46.27.
A similar problem is given at brainly.com/question/15967965