The equation of the line of best fit is y = 1.7x - 58
<h3>How to determine the equation?</h3>
We start by drawing the line of best fit (see attachment)
From the attached graph, we have the following points
(x, y) = (70, 75) and (61, 60)
The slope (m) is:
m = (y2 - y1)/(x2 - x1)
This gives
m = (60 - 75)/(61 - 70)
Evaluate
m = 1.7
The line of best fit is then calculated as:
y = m(x - x1) + y1
This gives
y = 1.7(x - 70) + 61
This gives
y = 1.7x - 119 + 61
Evaluate
y = 1.7x - 58
Hence, the equation of the line of best fit is y = 1.7x - 58
Read more about line of best fit at:
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F(x) = 3x + 2
g(x) = 5x - 10
g(x) - f(x) = (5x - 10) - (3x + 2)
g(x) - f(x) = (5x - 3x) + (-10 - 2)
g(x) - f(x) = 2x - 12
The answer is B.
Answer:
0.00335
Step-by-step explanation:
Probability that one of the components works for x hours before failing is given by
f(x) = 2e⁻²ˣ
We can then find the probability that one of the components works for x = 4 hours before failing
f(x) = 2e⁻⁸ = 0.0006709253
Probability that the system works for 4 hours = probability that at least 1 of the components of the system works for 4 hours =
1 - (Probability that none of the components of the system works for 4 hours)
Probability that one of the components doesn't work for 4 hours = 1 - 0.000670925 = 0.9993290747
Probability that none of the 5 components work for 4 hours = (0.9993290747)⁵ = 0.9966498721
Probability that the system works for 4 hours = probability that at least 1 of the components of the system works for 4 hours
= 1 - (Probability that none of the components of the system works for 4 hours)
= 1 - 0.9966498721 = 0.0033501279
Hope this Helps!!!
$5,110.00, because you multiply (14x365$