Answer:
a. 55.56%
b. 44.44%
c. 3.33%
d. 33.33%
Step-by-step explanation:
total supply = 180
a. In the first factory the total number obtained = 100
probability that the chosen part is from the first
= 100/180
= 0.5556
= 55.56%
b. In the second factory total = 80
probability that the chosen part is from the second
= 80/180
= 0.4444
= 44.44%
c. probability that part chosen at random from 180 is defective
= 2% * 0.5556 + 5% * 0.4444
= 0.02*0.5556 + 0.05*0.4444
= 0.011112 + 0.0222
= 0.03331
= 3.33%
d. probability it came rom the first factory if it is defective
= 
= 
= 0.33357
= 33.33%
12,500 / 100 = 125 125 x 4.5 = 562.5 562.5 x 4 = 2250
2250 + 12,500 = 14,750 He paid back a total of $14,750. Hope this helps :)
The <em><u>correct answer</u></em> is:
AAS
Explanation:
AAS stands for "angle-angle-side." This states that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of another triangle, then the triangles are congruent.
In these triangles, we have ∠CAB ≅ ∠CDB given to us to begin with. Throughout the proof, we find that ∠ABC ≅ ∠DCB. We also have that CB is congruent to itself. This is two angles and a side not included, so this is AAS.
