Exponential Probability 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 minute). The following formula from probability can be used to determine the probability that a car will arrive within t minutes of 5 : 00 PM. F ( t ) = 1 - e − 0.15 t Determine how many minutes are needed for the probability to reach 50 % . Determine how many minutes are needed for the probability to reach 80%.
Exponential Probability 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 minute). The following formula from probability can be used to determine the probability that a car will arrive within t minutes of 5 : 00 PM. F ( t ) = 1 - e − 0.15 t Determine how many minutes are needed for the probability to reach 50 % . Determine how many minutes are needed for the probability to reach 80%.
Solution Summary: The author explains the probability of a car arriving at Jiffy Lube within t minutes from 5:00 PM to 50%.
Exponential Probability 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 minute). The following formula from probability can be used to determine the probability that a car will arrive within
t
minutes of
5
:
00
PM.
F
(
t
)
=
1
-
e
−
0.15
t
Determine how many minutes are needed for the probability to reach
50
%
.
Determine how many minutes are needed for the probability to reach 80%.
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]
DETAILS
MY NOTES
SESSCALCET2 6.3.508.XP.
ASK YOUR TEA
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
Need Help?
Read It
SUBMIT ANSWER
13. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.512.XP.
ASK YOUR TEA
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)
Need Help?
Read It
SUBMIT ANSWER
14. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.518.XP.
Find the area of the region under the given curve from 1 to 5.
y =
x² +7
6x - x²
Need Help?
Read It
ASK YOUR TEA
DETAILS
MY NOTES
SESSCALCET2 6.3.012.
6. [-/1 Points]
Evaluate the integral.
x-4
dx
x²
- 5x + 6
Need Help?
Read It
SUBMIT ANSWER
7. [-/1 Points]
DETAILS
MY NOTES
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
Need Help?
Read It
SUBMIT ANSWER
8. [-/1 Points] DETAILS
MY NOTES
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
Chapter 4 Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- Instant Access (Pearson+)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.