Question

Raindrops hit your head at a rate of 1 per second. Using convolution, what is the PDF of the time at which the second raindrop hits you?

Answer #1

Water flows in a 350-mm-diameter pipe at the rate of 600 liters
per second. The pipe has a length of 64 m. Compute the head
loss:
Using Darcy-Weisbach formula with f =0.028.
Using Hazen-William’s formula with C1 = 92.
Using Manning’s formula with n = 0.012.

The translocation rate of RNA polymerase II is 30 nucleotides
per second for a gene you study that is 50,000 nucleotides in
length. This gene contains 3 exons and 2 introns. The translocation
rate of the ribosome on the resulting mRNA is also 30 nucleotides
per second. Assuming that the translocation rates of RNA polymerase
II and the ribosome are the rate limiting steps in their respective
processes, which process (transcription or translation) do you
expect to produce more product...

You have observed that the number of hits to your web site
follows a Poisson distribution at a rate of 3 per hour. Let X is
the time between hits and it follows Exponential distribution.
1. What is an average time in minutes between two hits?
2. What is the probability, that you will need to wait less than
40 minutes between two hits?
3. What is the probability, that there will be 2 hits in the
next hour?
1....

2) An object is thrown upward with an initial velocity of 144
feet per second from an initial height of 160 feet. Use the fact
that the acceleration due to gravity is -32 feet per second per
second to answer the following: a) Using integration, find the
position function giving the height s as a function of time t. b)
At what time will the ball reach maximum height? c) When does the
ball hit the ground? d) What is...

Ball 1, with a mass of 140 g and traveling at 14 m/s , collides
head on with ball 2, which has a mass of 320 g and is initially at
rest.. .
Part
A
What is the final
velocity of the ball 1 if the collision is perfectly elastic?
Express your answer in
meters per second.
Part B
What is the final velocity of the ball 2 if the collision is
perfectly elastic?
Express your answer in meters per...

Stanton hit the second hardest homerun of the 2014 season with
an initial speed of 120 mph at an angle 20 degrees above the
horizontal.
PROBLEM 4.
If the pitched ball was traveling 77 mph before Stanton’s bat
hit it and 120 mph after his bat hit it, by what amount did the
speed of Stanton’s bat decrease due to the collision?
(Give your response as a positive value in units of miles per
hour. Assume that he bat and...

Lab 6- Linear Kinetics
1. Place a pencil or pen on a flat surface. Using your finger,
push on the side of the pencil in the middle. What happens? Now,
reset the pencil and push again, using the same amount of force,
but this time about midway between the center and the end of the
pencil What happens this time? Considering the two trials you just
completed, what do you think is the "take home message" about the
application of...

2.
To your
surprise, Nicholas Madura has appointed you as head of the central
bank of Venezuela. Currently
Venezuela has the highest interest rates and inflation in
the world. Your mission is to reduce inflation and interest rates.
You consider three options – reduce money growth but keep a
floating exchange rate. Second, fix the exchange rate to the dollar
but keep the Venezuelan currency. Third, form a currency board
where all Venezuelan currency is backed by foreign reserves...

After your car was hit by a truck, you have been offered a
settlement. In the settlement, you would receive $30,000/year
starting in 1 year for 15 years, then $10,000/year for 15 years
starting in year 16. If your discount rate is 7%, what is the
present value of this settlement to the nearest dollar?

After your car was hit by a truck, you have been offered a
settlement. In this settlement, you would recieve $30,000/year
starting in 1 year for 15 years, then $10,000/year for 15 years
starting in year 16. If your discount rate is 7%, what is the
present value of this settlement to the nearest dollar?
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