What two positive real numbers whose product is 7272 have the smallest possible sum?
1 answer:
To find the smallest possible sum of roots for any product, the answer is always whatever numbers are closest together. This fact can be derived by the fact that the greatest area we can enclose with a given length is a perfect square. So we can take the square root of 7272 and use that, since they will be exactly the same number.
If you are looking for whole numbers, you would have to go up or down until you find a factor of 7272 closest to the square root. In this case that would be 72 and 101.
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Answer:
A) The population of this survey is the registered voters in the city of Raleigh.
B) 9500
C) 200
D) 0.325
E) 3088
Step-by-step explanation:
A) The population of this survey is the registered voters in the city of Raleigh.
B) Population size can be defined as the total number of individuals in a population. Here the total number of individuals are the registered voters in the city. Therefore the size of the population is 9500.
c) Sample size is defined as the number of individual samples in a statistical test. Here the sample size is the 200 randomly selected registered voters. It is denoted as "n".
d) The sample statistic for the proportion of voters surveyed who said they'd vote for Brown would be:
p' = voters for brown / sample size
The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.325
E) The expected number of voters for Brown based on the sample:
0.325 * 9500 = 3087.5
Approximately 3088
The expected number of voters for Brown based on the sample might be 3088 voters.