20 pts-------
1 answer:
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Answer:
The volume of the tumor experimented a decrease of 54.34 percent.
Step-by-step explanation:
Let suppose that tumor has an spherical geometry, whose volume () is calculated by:
Where is the radius of the tumor.
The percentage decrease in the volume of the tumor () is expressed by:
Where:
- Absolute decrease in the volume of the tumor.
- Initial volume of the tumor.
The absolute decrease in the volume of the tumor is:
The percentage decrease is finally simplified:
Given that and
, the percentage decrease in the volume of tumor is:
The volume of the tumor experimented a decrease of 54.34 percent.
Answer:
Probability that exactly 5 of them favor the building of the health center is 0.0408.
Step-by-step explanation:
We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.
Also, 14 citizens are chosen.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 14 citizens
r = number of success = exactly 5
p = probability of success which in our question is % of the community
favored building a health center in their neighborhood, i.e; 60%
<em>LET X = Number of citizens who favored building of the health center.</em>
So, it means X ~
Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)
P(X = 5) =
=
= 0.0408
Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.