Three hundred four million nine hundred sixty seven thousand
The first integral has a well-known beta function representation, so the second one should too. The beta function itself is defined as
and satisfies the identity
Later on, we'll also use the so-called reflection formula for the gamma function; for non-integer z,
as well as the identity
Replace in both integrals, so that
Now replace :
So, the original integral (which I condense here to a double integral) is
Answer:
the common ratio is 0.98.
Step-by-step explanation:
A fish population in a lake decreases by 2% each year. We are asked to find the common ratio.
The decrease of population of fish 2% annually means the population becomes next year 100% - 2% = 98%
Therefore, the common ratio would be 98%. Upon converting 98 percent to a decimal we will get,
98% =
Therefore, the common ratio or decay factor is 0.98.
Answer:
Five people are likely to go to Disneyland.
Step-by-step explanation:
Well, we know that 1 per five people go there, so we need to find out how many groups of five are in 25. Well, we know that 5*5 is 25, so there must be five groups of five people.
Now, we know that 1 in each group of five go to Disneyland. So all we have to do is multiply 1 by the number of groups there are.
1*5=5
So the answer is: 5 people are likely to go to Disneyland.