Answer:
183.4286 lbs
Step-by-step explanation:
given that the population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard deviation of 25-lbs.
Total weight in the lift should not exceed 6420 lbs
No of persons limited = 35
Hence average weight of the person that should be below
If the average exceeds 183.4286 pounds then the elevator would be considered overloaded.
For this case we have that the relationship is direct.
Therefore, we have:
Where,
y: distance traveled in kilometers
x: number of liters of fuel
k: proportionality constant
We must look for the value of k. For this, we use the following data:
This car can travel 476 kilometers on 17 liters of fuel.
Substituting values we have:
From here, we clear the value of k:
Therefore, the relationship is:
For 1428 kilometers we have:
Clearing the amount of fuel we have:
Answer:
51 liters of fuel are required for the vehicle to travel 1,428 kilometers