How many cubes with side lengths of 1/2 cm does it take to fill the prism?
1 answer:
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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%
Answer: The vertical stretch of 5 in the equation y = x is defined by .
Explanation:
The given equation is,
It can be written as,
The function is defined as .
If , then the function has a vertical stretch by a factor of S units.
If , then the function has a vertical shrink by a factor of S units.
Since we have to find the vertical stretch of 5 in the equation y = x.
The below figure shows the graph of y = x and .
