Answer:
[ 0.4964, 0.5836 ]
Step-by-step explanation:
Data provided in the question:
Total sample size = 500
person voting for smith = 270
thus,
P( person voting for smith ), p =
= 0.54
Confidence level = 95%
now,
standard error, SE = 
or
SE = 
or
SE = 0.0223
now,
Confidence interval = p ± ( z × SE )
here,
z value for 95% confidence interval is 1.96
Confidence interval = [ 0.54 - ( 1.96 × 0.0223 ), 0.54 + ( 1.96 × 0.0223 ) ]
= [ 0.54 - 0.0436 , 0.54 + 0.0436 ]
= [ 0.4964, 0.5836 ]
The incorrect rounding for 53.864 is 53.87
<h3>How to approximation a decimal?</h3>
The decimal to be approximated is as follows;
53.864
The first option rounded the decimal to 2 significant figures or a whole number.
The second option is incorrect because they rounded it wrongly to 2 decimal places. The correct 2 decimal round is 53.86.
The third option is approximated rightly to one decimal place.
The last option is rounded to the closes tens term.
learn more on approximation here: brainly.com/question/9608644
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The answer is -1280
hope this helps
Answer:
B
Step-by-step explanation:
First distribute the 2x to get:
4x² + 10x
Then distribute the -5 to get:
-10x - 25
Then combine
4x² + 10x - 10x - 25
The 10x's will cancel leaving you:
4x² - 25