Answer:
Surface area of cone is
Step-by-step explanation:
Given:
radius of a cone (r) = 8 feet
slant height of cone (l) = 12 feet
We need to find the surface area of cone.
Total surface area of cone = Area of circle Area of curved surface
Now we know that,
Area of circle =
Area of curved surface =
Hence Total surface area of cone =
Surface area of cone is .
Answer:
The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Step-by-step explanation:
Let <em>X</em> = number of students arriving at the 10:30 AM time slot.
The average number of students arriving at the 10:30 AM time slot is, <em>λ</em> = 3.
A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.
The random variable <em>X</em> is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.
The probability mass function of <em>X</em> is given by:
Compute the probability of <em>X</em> = 2 as follows:
Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Answer:
Hence, a regular polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself is:
A. octagon.
Step-by-step explanation:
We know that the for a regular polygon with 'n' sides the minimum rotation that can carry the polygon onto itself is:
Here we are given the minimum angle of rotation such that polygon is transformed to itself as 45 degree.
i.e. we have:
Hence, the number of sides of a polygon are 8.
Hence, the polygon is:
A. octagon.
( Since a polygon with 8 sides is called a octagon)
Answer:
Step-by-step explanation:
Always proceed by first extracting all common factors to all terms:
Notice that the factors: 5, x, and y are present in all terms, so we can extract them from the trinomial:
Now, the trinomial left (-x+2-3y) cannot be factored out, so then factoring is complete.