24% 24, percent of a number is what fraction of that number?
2 answers:
<u>Answer:</u>
24% of a number is 6/25 of that number.
<u>Step-by-step explanation:</u>
The word percent can be broken down into two sub units: per and cent, meaning per for every cent i.e. 100.
So when we call a number percent, it means that the number is divided by 100.
If we have 24 percent, then we can write it as 24 / 100 which can further be simplified by finding their greatest common factor.
For 24 and 100, we have 4 as their greatest common factor which gives us a value of .
You might be interested in
Answer:
n=206
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that , we can use as prior estimate of p 0.5, since we don't have any other info provided, and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=206