The area of a circle uses the radius of a circle, which is 1/2 the diameter.
In the calculation the radius is squared.
Since the diameter of the larger circle is twice as large the radius would be 2 times.
2 squared would be: 2^2 = 4
This means the area of the larger circle is 4 times larger which would make the ratio 4:1
Answer: Choice C
Vertex = (5, -2)
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Explanation:
Vertex form is 
where the vertex itself is located at (h,k)
As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.
In the case of choice C, we have 
which is the same as 
and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)
Answer:
18/5
Step-by-step explanation:
5 1/5 = 1 thus 3 are 15 + 3 = 18/5
Answer:
The number of expected people at the concert is 8,500 people
Step-by-step explanation:
In this question, we are asked to determine the expected number of people that will attend a concert if we are given the probabilities that it will rain and it will not rain.
We proceed as follows;
The probability that it will rain is 30% or 0:3
The probability that it will not rain would be 1 -0.3 = 0.7
Now, we proceed to calculate the number of people that will attend by multiplying the probabilities by the expected number of people when it rains and when it does not rain.
Mathematically this is;
Number of expected guests = (probability of not raining * number of expected guests when it does not rain) + (probability of raining * number of expected guests when it rains)
Let’s plug values;
Number of expected guests = (0.3 * 5,000) + (0.7 * 10,000) = 1,500 + 7,000 = 8,500 people
10, 000, 000 = ten million
40, 000 ,000 is the answer for the nearest ten million
