Answer:
see explanation
Step-by-step explanation:
∠TRV = ∠SRW ( vertical angles ), hence
2x + 15 = 85 ( subtract 15 from both sides )
2x = 70 ( divide both sides by 2 )
x = 35
Hence
∠VRU = 2x + 10 = ( 2 × 35) + 10 = 70 + 10 = 80°
and
∠URW + ∠VRU + ∠SRW = 180 ( sum of angles in a straight line ), thus
∠URW + 80 + 85 = 180
∠URW + 165 = 180 ( subtract 165 from both sides )
∠URW = 15°
So we have
h=hits
m=miss
h+m=10
gain 5 for every hit and lose 3 for every miss
so 5 times number of hit=points from hit
-3 times number of miss=points deducted from miss
add
5h-3m=18
so we have the equations
h+m=10
5h-3m=18
multiply first equation by 3
3h+3m=30
add to first equatio
3h+3m=30
<u>5h-3m=18 +</u>
8h+0m=48
8h=48
divide by 8
h=6
subsitute
h+m=10
6+m=10
subtract 6
m=4
6 hits
4 miss
<u />
Let A be the event 'made by Apex and defective':
P(A) = 0.67 x 0.11 = 0.0737
Let B be the event 'made by B-ink and defective':
P(B) = 0.33 x 0.06 = 0.0198
Let C be the event 'made by Apex or B-ink and defective':
P(C) = P(A) + P(B) = 0.0737 + 0.0198 = 0.0935
P(defective and made by Apex) = 0.0737/0.0935 = 0.788
The answer is 0.788 or 78.8%.
The value of z is more than 34. This question is ... Ehhh. very tricky, with bad answer choices...
