Answer:
x=12
Step-by-step explanation:
This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that
where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get,
. Next, solve what is under the root to get,
. Finally, square root 144 for the final answer b=12.
GCF: greatest common factor of any two (or more) numbers
Top left:
GCF of 24 and 60: 12
Top right:
GCF of 12 and 18: 6
Bottom left:
GCF of 18 and 42: 6
Right left:
GCF of 30 and 72: 6
f(x) = 6x
To find the inverse, replace f(x) with Y:
y = 6x
Now switch the variables:
x = 6y
Solve for Y by dividing both sides by 6:
y = x/6
Now replace y with f^-1 (x):
f^-1 (x) = x/6
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 : 