The number of minutes needed for the probability to reach 50 % , where between 5 : 00 PM and 6 : 00 PM cars arrive at Jiffy Lube at the rate of 9 cars per hour ( 0.15 car per minutes). The probability that a car will arrive within t minutes of 5 : 00 PM is F ( t ) = 1 − e − 0.15 t
The number of minutes needed for the probability to reach 50 % , where between 5 : 00 PM and 6 : 00 PM cars arrive at Jiffy Lube at the rate of 9 cars per hour ( 0.15 car per minutes). The probability that a car will arrive within t minutes of 5 : 00 PM is F ( t ) = 1 − e − 0.15 t
Solution Summary: The author explains the probability of a car arriving at Jiffy Lube within t minutes from 5:00 PM to 50%.
The number of minutes needed for the probability to reach 50%, where between 5:00PM and 6:00PM cars arrive at Jiffy Lube at the rate of 9 cars per hour ( 0.15 car per minutes). The probability that a car will arrive within t minutes of 5:00PM is F(t)=1−e−0.15t
(b)
To determine
The number of minutes needed for the probability to reach 80%, where between 5:00PM and 6:00PM, cars arrive at Jiffy Lube at the rate of 9 cars per hour ( 0.15 car per minutes). The probability that a car will arrive within t minutes of 5:00PM is F(t)=1−e−0.15t
Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace Transformation and explain step-by-step.
12. [-/1 Points]
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SESSCALCET2 6.3.508.XP.
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Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x + 16
dx
X
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13. [-/1 Points]
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SESSCALCET2 6.3.512.XP.
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Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
dx
8)(2x + 1)
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14. [-/1 Points]
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SESSCALCET2 6.3.518.XP.
Find the area of the region under the given curve from 1 to 5.
y =
x² +7
6x - x²
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SESSCALCET2 6.3.012.
6. [-/1 Points]
Evaluate the integral.
x-4
dx
x²
- 5x + 6
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7. [-/1 Points]
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SESSCALCET2 6.3.019.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x²+1
(x-6)(x-5)²
dx
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8. [-/1 Points] DETAILS
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SESSCALCET2 6.3.021.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
✓
x²
4
+4
dx
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