Answer:


Step-by-step explanation:
Given



Required
Find P(A) and P(B)
We have that:
--- (1)
and
--- (2)
The equations become:
--- (1)

Collect like terms


Make P(A) the subject

--- (2)


Substitute: 
![[0.770 - P(B)] * P(B) = 0.144](https://tex.z-dn.net/?f=%5B0.770%20-%20P%28B%29%5D%20%2A%20P%28B%29%20%3D%200.144)
Open bracket

Represent P(B) with x

Rewrite as:

Expand

Factorize:
![x[x - 0.45] - 0.32[x - 0.45]= 0](https://tex.z-dn.net/?f=x%5Bx%20-%200.45%5D%20-%200.32%5Bx%20-%200.45%5D%3D%200)
Factor out x - 0.45
![[x - 0.32][x - 0.45]= 0](https://tex.z-dn.net/?f=%5Bx%20-%200.32%5D%5Bx%20-%200.45%5D%3D%200)
Split

Solve for x

Recall that:

So, we have:

Recall that:

So, we have:


Since:

Then:


Two ways to find.
1. Find n Natural numbers that 136/n gives reminder 8. and check with 200. Bad Way.
2. Logic way. ... Find Greatest common divisor of 200+8 and 136+8. GCD(208;144)=(64;144)=(64;80)=(64;16). 64 is divisible by 16 so 16 is the answer . check 200/16 reminder 8 so 136/8
Am stuck too ]
Step-by-step explanation:
I think that that the answer is B because the slopes of parallel lines are the same but the slopes of perpendicular lines are related such that the slope of line B = the reciprocal of line A with a different sign either positive or negative
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