Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

Here, we are given that our sphere has a radius of 4 units.
So plugging into the formula, we have
.
Start by simplifying the exponent.
(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.
So we have
.
Next, we multiply (4/3)(64) which can
be thought of as (4/3)(64/1)
So multiplying across the numerators and across the denominators,
we have
.
Answer:
115.5 tickets sold.
Step-by-step explanation:
Finding the percent of something is the same as multiplying by that percent as a decimal. So, 70% = 0.70.
0.70 x 165 = 115.5 tickets sold.
Answer:
7. 25% of the merchants who purchase goods from Asia also purchase from Europe.
Step-by-step explanation:
I am going to say that:
A is the percentage of merchants who purchase goods from Asia.
B is the percentage of merchants who purchase goods from Europe.
We have that:

In which a is the probability that a merchant purchases goods from Asia but not from Europe and
is the probability that a merchant purchases goods from both Asia and Europe.
By the same logic, we have that:

Which of following statement is individually sufficient to calculate what percent of the merchants in the group purchase goods from Europe but not form Asia?
We already have B.
Knowing
, that is, the percentage of those who purchase from both Asia and Europe, we can find b.
So the correct answer is:
7. 25% of the merchants who purchase goods from Asia also purchase from Europe.
Answer:
Step-by-step explanation:
The lower bound is 10.5 and the upper bound is 15.9
Hope it helps!