Question

A horse is grazing inside an enclosed rectangular paddock 50 m by 20 m and is free to move anywhere inside the paddock. What is the probability that at any given time the horse is

(a) less than 5 m from the fence? (b) not more than 5 m from a corner?

Answer #1

A rectangular field is to have 100 m2 in area. It is
enclosed by a fence. The north-south sides costs $20/m, east-west
sides cost $5/m. What are the dimensions of this fence which
minimizes the total cost?

A racing driver negotiates a corner of radius 20 m at a speed of
8.5 m/s on level ground without slipping. The mass of the car is
600 kg and that of the driver is 91 kg.
a. Calculate the total frictional force acting on the wheels as
the corner is made.
b. After this, the driver then negotiates a corner, which is
banked at 30 degrees to the horizontal. The radius of this circular
path is also 20 m....

Sarah stands on a bathroom scale inside an elevator. Sarah's
mass is 50 kg. What does the scale read in Newton if the elevator
moves upward with constant velocity of 1.5 m/s.? What does the
scale read if the elevator moves upward for a short period of time
with the acceleration of 2 m/s2? draw a free body diagram and show
your work. (20 points) (g=9.8 m/s2 )
Please draw the diagram!

5. Pick a uniformly chosen random point inside the triangle with
vertices (0, 0), (3, 0) and (0, 3).
(a) What is the probability that the distance of this point to
the y-axis is less than 1?
(b) (b) What is the probability that the distance of this point
to the origin is more than 1?

Nine (Trespass)
A California landowner was declared insane and committed to a
state mental hospital 30 years ago. Five years after that, a
trespasser entered onto the landowner's 200-acre parcel of land,
which was enclosed by a barbed wire fence. A solid wood fence ran
through the middle of the land, separating the property into
approximately equal east and west parcels. The trespasser began
grazing cattle on the west parcel; no one else has been in
possession of any other...

(4.13) Let X be the wait times for riders of a
bus at a particular bus station. Suppose the wait times have a
uniform distribution from 0 to 20.
(Use the standard normal distribution if applicable)
A)Find the probability that a random passenger has to wait
between 5 and 10 minutes for a bus.
B)Find the probability that a random rider has to wait more than
12 minutes for the bus, given they have already waited 7
minutes.
C)Suppose we...

Out of 50 students surveyed in a study: 35 are undergraduates in
which there are 20 from NY, and 15 are graduate students in which
there are 5 from NY. What is the probability that if a student
surveyed is an undergraduate OR he/she is from NY?
P(Ungrad and from NY) = 20/50
P(from NY) = 25/50
P(Undegraduate or from NY) = 35/50+25/50 - 20/50 = 40/50
P(Ungrad) = 35/50
P(Undegraduate | from NY) = 20/25
Out of 50 students...

Consider projectile thrown horizontally at 50 m/s from height of
19.6 meters. The projectile will take ______________ time to hit
the ground as it would if it were dropped from the same height.
a) More
b) Less
C)The Same

At a recent state swim meet, all 8 and 9 year olds swam the 50
m. backstroke race. The mean completion time for girls was 80
seconds with a standard deviation of 10. The mean completion time
for boys was 85 seconds with a standard deviation of 6.
Distributions for both boys and girls are normal.
A. If 5 female competitors are randomly selected from the list
of all participants, what is the expected value of the time it took...

In a certain city, 30% of the people are Conservatives, 50% are
Liberals, and 20% are Independents. Records show that in the last
election 65% of Conservatives voted, 82% of Liberals voted, and 50%
of Independents voted. (a) What is the probability that a randomly
selected person from this city voted in the last election? (b) What
is the conditional probability that a randomly selected person from
this city is Conservative, given that they voted in the last
election?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 31 minutes ago

asked 35 minutes ago

asked 50 minutes ago

asked 51 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago