Answer:
523.333 cubic yards
Step-by-step explanation:
The formula for the volume of a sphere is
where
is the radius.
The radius of the given sphere is
yards and
.
Therefore, we can substitute in the radius and solve:
cubic yards
314 m is the correct answer.
We are to find the probability that the weight of total luggage for a sample of 100 passengers is less than 2100.
The mean weight of the luggage of passengers will be 2100/100 = 21.
So we have to find the probability of the mean weight to be less than 21.
Average weight = u = 19.4
Standard deviation = 5.3
Since we are dealing with a sample of 100. We will use the standard error.
Standard error =

Now we have to convert the weight to z-score

From z table we can find the probability of z being less than 3.018 is 99.87%.
Therefore, the probability that for (a random sample of) 100 passengers, the total luggage weight is less than 2,100 lbs is 99.87%
1/14 because you have to have common denominators so you multiply 1/2 by 7/7 and multiply 3/7 by 2/2 so you end up getting 7/14 - 6/14 = 1/14