Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the b
2 answers:
Answer:
The volume is 2140.98 inches³
Step-by-step explanation
The basketballs are spherical, and it is known that the volume of a sphere is
Where V is the volume of the ball and r is its radius
They tell us that the ball measures 8.8 inches wide. This means that its diameter is 8.8 inches.
It is known that the radius of a sphere is equal to half its diameter.
Therefore, the radius r of the ball is:
r = 4.4 inches.
Then, they tell us to consider that the walls of the ball are infinitely thin, which means that we should not take into account their thickness in the calculation of the volume.
We already have all the data we need, now we proceed to calculate the volume.
Where V is the volume of only one of the balls
The volume of the six balls is V = 6 * 356.83 = 2140.98 inches³
Finally the volume is 2140.98 inches³
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Answer:
a) It can be used because np and n(1-p) are both greater than 5.
Step-by-step explanation:
Binomial distribution and approximation to the normal:
The binomial distribution has two parameters:
n, which is the number of trials.
p, which is the probability of a success on a single trial.
If np and n(1-p) are both greater than 5, the normal approximation to the binomial can appropriately be used.
In this question:
So, lets verify the conditions:
np = 201*0.45 = 90.45 > 5
n(1-p) = 201*(1-0.45) = 201*0.55 = 110.55 > 5
Since both np and n(1-p) are greater than 5, the approximation can be used.