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%.
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west
at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane?
A vector with magnitude 5 points in a direction 190 degrees counterclockwise from the positive x axis.
Write the vector in component form, and show your answers accurate to 3 decimal places.
Chapter 4 Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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