Answer:
The area of the country is 17 square miles
Step-by-step explanation:
To calculate the population density of the country. We employ the use of a mathematical formula. This can easily be obtained from the units of the density
The population density = Population of the country/area of the country
Since we are to calculate the area of the country, the equation becomes
Area of country = Population of country/population density of country
Area of country = 4288/257
Area of country = 16.68 square mile
To the nearest square mile, the Area of the country = 17 square mile
Answer:
16,800 votes.
Step-by-step explanation:
In the singing competition 42,000 votes were counted.
The winner received 3/5 of the votes.
The part of the votes that the winner did not receive was 1 - 3/5 = 2/5
So the winner did not receive 2/5 of 42,000 votes which is equivalent to:
= 16,800 votes.
The bookshelf would be 4 feet 3 inches.
Answer:
The statement that "the margin of error was given as 
percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval 
; where ![\hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Btex%5D%20is%20the%20sample%27s%20proportion.%3C%2Fp%3E%3Cp%3E%20%3C%2Fp%3E%3Cp%3EThe%20correct%20answer%20is%20C.%20The%20statement%20indicates%20that%20the%20interval%20%5Btex%5D0.14%5Cpm0.05)
is likely to contain the true population percentage of people that prefer chocolate pie.
Step-by-step explanation:
The margin of error for proportions is given by the following formula:
Where:
is the critical value that corresponds to the confidence level; the confidence level being 
,
is the sample's proportion of successes,
is the size of the sample.
In this exercise we have that 
and that the margin of error is 0.05.
Therefore if we replace in the formula to calculate the confidence interval we get:
Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).
