Answer:

Step-by-step explanation:
A bisector is the line that divides an angle (which in this case is
) exactly in half. Therefore,
and as such we can solve for
:

and we are done.
Answer:
B) 12.5 ft
Step-by-step explanation:
set up a proportion of inches/feet equals inches/feet
let 'h' = height of sign
5.4/18 = 3.75/h
cross-multiply:
5.4h = 67.5
h = 12.5
Answer:
a
The estimate is 
b
Method B this is because the faulty breaks are less
Step-by-step explanation:
The number of microchips broken in method A is 
The number of faulty breaks of method A is 
The number of microchips broken in method B is 
The number of faulty breaks of method A is 
The proportion of the faulty breaks to the total breaks in method A is


The proportion of the faulty to the total breaks in method B is

For this estimation the standard error is

substituting values


The z-values of confidence coefficient of 0.95 from the z-table is

The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as
![K = [p_1 - p_2 ] \pm z_{0.95} * SE](https://tex.z-dn.net/?f=K%20%3D%20%5Bp_1%20-%20p_2%20%5D%20%5Cpm%20z_%7B0.95%7D%20%2A%20SE)
substituting values
![K = [0.08 - 0.07 ] \pm 1.96 *0.0186](https://tex.z-dn.net/?f=K%20%3D%20%5B0.08%20-%200.07%20%5D%20%5Cpm%201.96%20%2A0.0186)

The interval of the difference between proportions of improperly broken microchips for the two breaking methods is

Answer: (5, 2)
We simply add up the corresponding coordinates. The x coordinates of the two vectors are 2 and 3. They add to 2+3 = 5
The y coordinates are -1 and 3. They add to -1+3 = 2
So overall,
(2,-1) + (3,3) = (2+3, -1+3) = (5,2)
is the answer
Since the radicands (the number under the radical) are the same, add the coefficients and keep the radicand.
4√5 + 2√5 = 6√5
LETTER C