A new restaurant with 139 seats is being planned. Studies show that 64​% of the customers demand a​ smoke-free area. How many seats should be in the​ non-smoking area in order to be very sure ​(mu plus 3 sigma​) of having enough seating​ there?

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Answer:

We conclude that 89 non-smoking places are required.

Step-by-step explanation:

We know that a new restaurant with 139 seats is being planned.

We know that 64​% of the customers demand a​ smoke-free area.

We will use the following proportion, to calculate the number of non-smoking places.

[tex]139:100\%=x:64\%\\\\100x=139\cdot 64\\\\100x=8896\\\\x=88.96[/tex]

We conclude that 89 non-smoking places are required.

The number of seats that should be in the non-smoking area in order to be very sure of having enough seating there is 89.

Percentage can be described as a fraction of a number expressed as a number out of hundred.

In order to determine the number of seats that should be in the non-smoking area, multiply the percentage derived from the study by the total number of seats in the new restaurant.

Number of seats that should be in the non-smoking area = 64% x 139

0.64 x 139 = 88.96 seats

When rounded off to the nearest whole number, the seats become 89.

To learn more about percentages, please check: https://brainly.com/question/92258?referrer=searchResults

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