<h2>
Answer with explanation:</h2>
As per given , we have
n= 1025
x=707

Critical value for 99% confidence interval : 
Confidence interval : 
i.e. 
i.e. 
i.e. 

99% confidence interval for the proportion of all U.S. adults in December of 2012 who were optimistic about their finances in 2013= (0.653, 0.727)
Interpretation : We are 99% confident that the true population of all U.S. adults in December of 2012 who were optimistic about their finances in 2013 lies in interval (0.653, 0.727).
Answer: -8a+7b-9
Step-by-step explanation:
(-7a+7b-1)-(a+8)
-7a+7b-1-a-8 (distributive property)
-8a+7b-9 (combine like-terms)
Answer:
As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.
If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.
Answer:
x=4
Step-by-step explanation:
to find RT, you would do the 60-60-90 rule and you would get 4, x and RT are the same value because of the 45-45-90 rule, so x=4
Answer:
$0.10/pencil
Step-by-step explanation:
Find the unit cost. To do this, divide $1.25 by 12 pencils, obtaining:
$1.25
---------------- = $0.1042/pencil, or (more logically) $0.10/pencil
12 pencils