Answer: 31
Step-by-step explanation:
Formula to find the sample size is given by :_
, where z*= critical value corresponds to confidence level.
= population standard deviation.
E= Margin of error.
As per given , we have
E=1
We know that critical value corresponding to 95% confidence level = z*=1.96
Then, the required sample size would be :
Hence, the required minimum sample size = 31
6.2w = 18.6....divide both sides by 6.2
w = 18.6 / 6.2
w = 3 <==
We have the rational expression
; to simplify it, we are going to try to find a common factor in the numerator, and, if we are luckily, that common factor will get rid of the denominator
.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable
, and the least exponent of that variable is 1, so
will be the other part of our common factor. Lets put the two parts of our common factor together to get
.
Now that we have our common factor, we can rewrite our numerator as follows:
We are luckily, we have
in both numerator and denominator, so we can cancel those out:
We can conclude that the simplified version of our rational function 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.
