Answer: 0.20833
Step-by-step explanation:
This is a case of inverse probability.
We first determine the probability that an item is defective generally.
To do this we sum the possible options of having the item produced from the first machine and is defective or having the item produced by the second machine and is defective or having the item produced by the third machine and is defective.
Mathematically,this becomes :
(0.2 * 0.05) + (0.3 * 0.03) + (0.5 * 0.01)
0.01 + 0.009 + 0.005 = 0.024.
Probability an item is defective in general = 0.024
Probability a third machine produces a defective item = 0.5 * 0.01 = 0.005.
Hence, given that the item is defective, the probability that it was produced by the third machine becomes:
= (probability of the item being produced from the third machine and is defective) / (probability of the item being defective in general)
= 0.005/0.024
= 0.20833.
Yes, you are correct to use proportions because they are similar triangles.
<h2>
Answer: </h2><h2>
3.19</h2><h2>
______________________________________</h2><h3>
Honey, all you need to do is multiply.</h3><h3>
−2.75 by −1.16</h3><h2>
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Since the rational numbers are in parenthesis next to each other it means you have to multiply both of the numbers together.
<h2>
______________________________________</h2>
Hope this helped at least a little bit!~
<em>Also fun fact! </em>
<em>Your a beautiful person, and worth so much. </em>
<em>You deserve the world and more!</em>
<em>So please don't let anyone say otherwise, there are so many people in this world who love you.</em>
<em>And if someone can't see your beauty then their rather blind or your just to bright for them!</em>
<em>Your amazing, so keep on with life, stay strong, and live long because I love you! </em>
If it was in 10 years it would either be 2.6