Answer:
(a) 0.0833 or 8.33%
(b) 0.40 or 40%
Step-by-step explanation:
Parts line one (n1) = 1,000 parts
Defects line one (d1) = 100 parts
Parts line two (n2) = 2,000 parts
Defects line two (d2) = 150 parts
Total number of parts (n) = 3,000 parts
a. Probability of a randomly selected part being defective:
The probability is 0.0833 or 8.33%
b. Probability of a part being produced by line one, given that it is defective:
The probability is 0.40 or 40%.
Definition: Triangles are congruent when they have exactly the same three sides and exactly the same three angles.
From the diagram you have that:
Triangles QRS and TUV have congruent corresponding sides and congruent corresponding angles. This means they are congruent triangles. Congruent triangles always have the same shape and the same size. Also each pair of congruent triangles is a pair of similar triangles with ratio of similarity equal to 1.
Answer: all choices are correct.