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The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,000 hours and a standard deviation of 600 hours. If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is closest to? Assuming percentile = 95%
Answer:
0.125
Step-by-step explanation:
Assuming for 95%
z score for 95th percentile = 1.645
We find the Probability using z table.
P(z = 1.645) = P( x ≤ 7000)
= P(x<Z) = 0.95
After 7000 hours = P > 7000
= 1 - P(x < 7000)
= 1 - 0.95
= 0.05
If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is calculated as:
(P > 7000)³
(0.05)³ = 0.125
Answer:
-8=2x-y get this into y=mx+b form to find the y-intercept
-y=-2x-8
y=2x+8
the y-intercept is 8 so it passes through (0,8)
to find the x-intercept, set y to equal zero
0=2x+8
-8=2x
x=-4
the x-intercept is -4 so it passes through (-4,0)
the slope is 2 based on the slope-intercept form
The correct solution to the limits of x in the tiles can be seen below.
- = -31
<h3>What are the corresponding limits of x?</h3>
The limits of x approaching a given number of a quadratic equation can be determined by knowing the value of x at that given number and substituting the value of x into the quadratic equation.
From the given diagram, we have:
1.
So, x - 9 is positive when x → 9⁺. Therefore, |x -9) = x - 9
Simplifying the quadratic equation, we have:
Replacing the value of x = 9
2.
- -x²-63x+568 is positive when x → 8⁻.
Thus |-x²-63x+568| = -x²-63x+568
3.
- x -7 is positive, therefore |x-7| = x - 7
= -31
4.
- x-6 is negative when x → 6⁻. Therefore, |x-6| = -x + 6
Learn more about calculating the limits of x here:
brainly.com/question/1444047
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Answer:
33% of the grid is not shaded.
67% of the grid is shaded.
67/100 of the grid is shaded.