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Answer:
<h3>By 161700 ways this test batch can be chosen.</h3>Step-by-step explanation:
We are given that total number of bulbs are = 100.
Number of bulbs are tested = 3.
Please note, when order it not important, we apply combination.
Choosing 3 bulbs out of 100 don't need any specific order.
Therefore, applying combination formula for choosing 3 bulbs out of 100 bulbs.
read as r out of n.
Plugging n=100 and r=3 in above formula, we get
Expanding 100! upto 97!, we get
=
Crossing out common 97! from top and bottom, we get
=
Expanding 3!, we get
=
= 100 × 33 × 49
= 161700 ways.
<h3>Therefore, by 161700 ways this test batch can be chosen.</h3>Option D: is the equation of line in point - slope form
Explanation:
Given that the slope is and the point
We need to determine the equation of the line in point - slope form.
The point - slope form can be determined using the formula,
Let us substitute the point and the slope
in the above formula.
Thus, we have,
Simplifying the terms, we get,
Thus, the equation of the line in point - slope form is
Therefore, Option D is the correct answer.