FIsh tank has a length of 40 centimeters and a width of 30.5 centimeters. The water height in the fish tank is 28 centimeters. A
fish swims from the bottom corner of the tank up along a diagonal path towards the surface of the water until it reaches the opposite face of the tank as shown. Find the distance that the fish swam. Round your answer to the nearest tenth.
Topic: The Pythagorean theorem
Answer step by step
Topic: The Pythagorean theorem
Answer step by step
2 answers:
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For this problem, the most accurate is to use combinations
Because the order in which it was selected in the components does not matter to us, we use combinations
Then the combinations are
n represents the amount of things you can choose and choose r from them
You need the probability that the 3 selected components at least one are defective.
That is the same as:
(1 - probability that no component of the selection is defective).
The probability that none of the 3 selected components are defective is:
Where is the number of ways to select 3 non-defective components from 117 non-defective components and
is the number of ways to select 3 components from 120.
So:
Finally, the probability that at least one of the selected components is defective is:
P = 7.4%