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:
Step-by-step explanation:
If the second angle's measure is based on the first angle's measure, and the third angle's measure is also based on the first angle's measure, then the first angle is the main angle. We will call that x.
1st angle: x
2nd angle: x + 20%
3rd angle: x - 20%
By the Triangle Angle-Sum Theorem, all those angles will add up to 180, so:
x + (x + 20%) + (x - 20%) = 180 and
3x = 180 so
x = 60. That means that
2nd angle: 60 + (.2*60) which is
60 + 12 = 72 and
3rd angle: 60 - (.2*60) which is
60 - 12 = 48. Let's check those angles. If
∠1 = 60
∠2 = 72
∠3 = 48,
then ∠1 + ∠2 + ∠3 = 180 and
60 + 72 + 48 does in fact equal 180, so you're done!
To determine the solution of the given equation, we can use the quadratic formula which is expressed as:
x = (-b +/- √b^2 - 4ac ) / 2a
where a, b and c are the coefficients of the equation ( ax^2 + bx + c = 0)
USing the formula above we obtain the values:
x = 21
x = 3/4
Hope this answers the question. Have a nice day.
