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An elevator has a placard stating that the maximum capacity is 1352 lbs for 8 passengers. Therefore, 8 adult male passengers can have a mean weight of up to 169 pounds each ([tex]1352 \, \text{lbs} \div 8 = 169 \, \text{lbs}[/tex]).

If the elevator is loaded with 6 adult male passengers with weights of 165 lbs, 170 lbs, 172 lbs, 175 lbs, 178 lbs, and 180 lbs, can the elevator safely carry all the passengers?

1) Yes, because the total weight of the 6 passengers is less than the maximum capacity.
2) No, because the total weight of the 6 passengers exceeds the maximum capacity.
3) Cannot be determined without knowing the maximum weight limit allowed for the elevator.
4) Cannot be fixed.

Answer :

Final answer:

The elevator can safely carry all the passengers.

Explanation:

According to the given information, the maximum capacity of the elevator is 1352 pounds. Since the mean weight of 8 adult male passengers is 169 pounds, we can determine whether the elevator can safely carry all the passengers by comparing the total weight of the passengers to the maximum capacity of the elevator.

The total weight of the 6 adult male passengers is 165 + 170 + 172 + 175 + 178 + 180 = 1040 pounds. Since 1040 pounds is less than the maximum capacity of 1352 pounds, we can conclude that the elevator can safely carry all the passengers. Therefore, the correct answer is option 1) Yes, because the total weight of the 6 passengers is less than the maximum capacity.

The elevator's maximum capacity is 1352 pounds. The combined weight of the 6 passengers is 165 lbs + 170 lbs + 172 lbs + 175 lbs + 178 lbs + 180 lbs = 1040 lbs. This total is less than 1352 lbs, so the elevator can safely carry all the passengers.

To answer the initial question, option 1) is correct: Yes, because the total weight of the 6 passengers is less than the maximum elevator capacity.

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