Sample size, N = 3450
Point estimate of republican, p = 1789/3450 = 0.5186 = 51.86%
Z = 1.96 at 95% confidence level
Now,
True percentage of republican residing in California = p +/- Z*Sqrt [p91-p)/N] = 0.5186+/- 1.96* Sqrt [0.5186(1-0.5186)/3450] = 0.5186+/-0.017 = (0.5016,0.5356) = (50.16%,53.56%).
Answer:
Part A) The number line in the attached figure
Part B) The absolute value equation is 
Step-by-step explanation:
Part A) Represent these two distances on a number line
we know that
The minimum distance between two fence posts is 4 feet, and the maximum distance is 10 feet
Let
x ----> the distance between the two fence post
so

The interval is -------> [4,10]
using a graphing tool
see the attached figure
In a number line the solution is the shaded area at right of x=4 (close circle) and at the left of x=10 (close circle)
Part B) Write an absolute value equation that represents the minimum and maximum distances
Find the midpoint of the interval [4,10]

substitute the values


The distance from the midpoint to the endpoints of the interval is 3 feet
so
The absolute value equation is

<em>Verify</em>
<u>Solve the absolute value</u>
case 1) positive value

Solve for x
----> maximum distance
case 2) negative value

Solve for x

----> minimum distance
<u>Answer</u>:
x-intercept = 4
<u>Explanation</u>:
when x-intercept, y shall be 0; when y-intercept, x shall be 0
5x + 2y = 20
[ consider y as 0 ]
5x + 2(0) = 20
[ simplify ]
5x = 20
[ divide both sides by 5 ]
x = 4
coordinate of x-intercept at (4,0)