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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
Using the slope concept, it is found that:
- The minimum horizontal distance is of 14,281.5 feet.
- The maximum horizontal distance is of 15,398.6 feet.
<h3>What is a slope?</h3>
- The slope is given by the <u>vertical change divided by the horizontal change</u>.
- It's also the tangent of the angle of depression.
In this problem, the vertical change is the altitude of 10,000 feet.
The minimum horizontal distance is with an angle of 35º, hence:



The maximum horizontal distance is with an angle of 33º, hence:



You can learn more about the slope concept at brainly.com/question/22568180
Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
1) Find slope:
=
= -2
-2 = slope
2) Find y intercept trough point slope and slope-intercept forms
y - y1 = m (x - x1)
y - 9 = -2 (x + 2)
y - 9 = -2x -4
+ 9 + 9
y = -2x + 5
y = mx + b with b being the y-intercept
5 = y-intercept
Answer:
x = 21 degrees!
Step-by-step explanation:
3x + x + 96 = 180
4x +96 = 180
Subtract 96 from both sides!
4x = 84
Divide by 4 from both sides!
x = 21 degrees
Answer:
the answer is 67.5
Step-by-step explanation:
look at the photo