Given the sequence 7, 12, 17, 22
2 answers:
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Answer:
The volume of the cone is 100.48 units³ approximately
Step-by-step explanation:
To find the volume of a cone with a diameter of 8 unit and height of 6 units, we will follow the steps below;
first, write down the formula for calculating the volume of a cone
v= πr²
where v is the volume of the cone
r is the radius and h is the height of the cone
from the question given, diameter d = 8 units but d=2r which implies r=d/2
r=8/2 = 4 units
Hence r= 4 units
height = 6 units
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
v= πr²
v ≈ 3.14 × 4² × 6/3
v ≈ 3.14 × 16 × 2
v ≈ 100 .48 units³
Therefore the volume of the cone is 100 .48 units³ approximately
Answer:
(a) and
are indeed mutually-exclusive.
(b) , whereas
.
(c) .
(d) , whereas
Step-by-step explanation:
<h3>(a)</h3> means that it is impossible for events
and
to happen at the same time. Therefore, event
and
are mutually-exclusive.
By the definition of conditional probability:
.
Rearrange to obtain:
.
Similarly:
.
Note that:
.
In other words, and
are collectively-exhaustive. Since
and
are collectively-exhaustive and mutually-exclusive at the same time:
.
By Bayes' Theorem:
.
Similarly:
.