Can some please explain how to do the math
1 answer:
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Answer:
Step-by-step explanation:
Given
Points:
Required
Determine the equation of line that is perpendicular to the given points and that pass through
First, we need to determine the slope, m of FG
Where
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The question says the line is perpendicular to FG.
Next, we determine the slope (m2) of the perpendicular line using:
The equation of the line is then calculated as:
Where
Multiply through by 2
Add x to both sides
Hence, the line of the equation is
Answer:
The probability that none of the LED light bulbs are defective is 0.7374.
Step-by-step explanation:
The complete question is:
What is the probability that none of the LED light bulbs are defective?
Solution:
Let the random variable <em>X</em> represent the number of defective LED light bulbs.
The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.
A random sample of <em>n</em> = 10 LED light bulbs is selected.
The event of a specific LED light bulb being defective is independent of the other bulbs.
The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.
The probability mass function of <em>X</em> is:
Compute the probability that none of the LED light bulbs are defective as follows:
Thus, the probability that none of the LED light bulbs are defective is 0.7374.