Answer: a) 
b) 
Step-by-step explanation:
Given : Sample size of respondents in the exit polls : n= 2020
Number of respondents voted for George Bush = 412
Sample proportion: 
a) Critical value for 99% confidence level : 
Confidence interval for proportion:-
Hence, the 99% confidence interval for the proportion of college graduates in Ohio that voted for George Bush:
b) Critical value for 95% confidence level : 
Lower confidence bound for the proportion :
Hence, a 95% lower confidence bound for the proportion of college graduates in Ohio that voted for George Bush :
Answer:
C : $58.36
Step-by-step explanation:
Given:
A store holiday sale has an item marked down by $10.
Discount on new price = 25%
Final price was $36.27.
Question asked:
what was the original ?
Solution:
Let original price = 
New price = 
Original price - marked down amount - discount amount = $36.27
Adding both side by 7.5
Dividing both side by 0.75
Therefore, the original price was $58.36
Step-by-step explanation:
the line passing through the points (-7, - 7) and (4,-7).
Slope: (-7+7) /(4+7) = 0/11 = 0
this is a horizontal line
through the points (4,7) and (4, -6).
slope: (-6-7) /(4-4) = -13/0 = oo
this is a vertical line
Answer:
I agree with daniel
Step-by-step explanation:
Given the area of a rectangle expressed as;
A(x) = 2x²+10x+12
On factorizing;
A(x) = 2x²+6x+4x+12
A(x) = 2x(x+3)+4(x+3)
A(x) = (x+3)(2x+4)
since A(x) = l(x)w(x)
Hence the legnth and width of the rectangle are 2x+4 and x+3.
Also A(x) = 2x²+6x+4x+12 can be factorized as;
A(x) = 2x²+4x+6x+12
A(x) = 2x(x+2) + 6(x+2)
A(x) = 2x+6(x+2)
Therefore I agree with Daniel. The factor differs due to the difference in arrangement of 4x and 6x in the expression. Precedence of values affects the final factors
