To avoid mildew and mold, Clay's new oat barn has an open shaft lengthwise through the barn with small holes drilled throughout
that allows gases to escape just in case any wet oats get placed inside the barn. Clay is able to use the entire volume of the barn, except for the air vent shaft, to store oats which he uses for planting crops and feeding his livestock. He has decided to fill the barn to capacity to be prepared for the upcoming winter and planting season. Clay called the Farmers CO-OP and ordered how many cubic feet of oats.
1 answer:
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Given:
The vertices of a right triangle are:
To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are .
The distance formula is:
Using distance formula, we get
Similarly,
And,
Now, taking sum of squares of two smaller sides, we get
By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
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%