Answer:
We are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.
Step-by-step explanation:
95 % confidence means that we are 95 % confident that the the proportion of American voters who favor congressional term limits is 64 percent.
95 % confidence means that of all the sample about 95 % values are within in the given range.
And only 5% sample are not included in the given parameter.
Margin of error is the amount of miscalculation or difference in change of circumstances from the obtained data.
3% margin of error usually occurs when the data size is small.
As the data size increases the margin of error decreases.
So this statement tells us that we are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.
Margin of error= z *σ/√n→
This indicates that as the sample size decreases the margin of error increases and vice versa.
Equation required for this question:
an • 1.072^n = 14,580
Where a = payment every half year and n = number of half years
There are 12 half years in 6 years.
Therefore n = 12, substitute this.
12a • 1.072^12 = 14,580
12a = 14,580 / 1.072^12
12a = 6,330~
a = 527.5 ~
Answer: 17000000 ounces of gold were mined in that country that year.
Step-by-step explanation:
Let x represent the number of ounces of gold that were mined in that country that year.
Approximately 1,870,000 oz of gold went into the manufacturing of electronic equipment in a certain country in 1 year. This was 11% of all the gold mined in that country that year. This means that
11/100 × x = 1870000
0.11x = 1870000
x = 1870000/0.11
x = 17000000
Given that total number of books in the book store = 75972
Given that total number of books in science section =
rd of total books =
= 25324
Then remaining number of books = 75972 - 25324 = 50648
Given that 75% of the remaining books are in business section = 75% of 50648 = 0.75*50648 = 37986
Then number of books in the math section = 50648 - 37986 = 12662
Hence final answer is 12662 books in the math section.
Y = x + 4
Slope = 1
Y-intercept = 4
