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Sarah (m=81.2 kg) is traveling at a speed of 18.1 m/s at the top of a 11.5 m high roller coaster loop. Determine Sarah's speed at the bottom of the loop. Include a diagram
Nolan Ryan reportedly had the fastest pitch in baseball, clocked at 100.9 mi/hr (45.0 m/s) If such a pitch had been directed vertically upwards at this same speed, then to what height would it have traveled (in meters)?
Chlorine gas (Cl2) occupies a volume of 25.0 mL at 310K. Calculate the volume it will occupy when heated to 590 K.
A bicycle has a kinetic energy of 124 J. What kinetic energy would the bicycle have if it had …
… three times the mass and was moving with one-half the speed?
Answer 1
… twice the mass and was moving at the same speed?
Answer 2
… the same mass and was moving with twice the speed?
Answer 3
… one-half the mass and was moving with twice the speed?
Answer 4
… the same mass and was moving with one-half the speed?
How to calculate arithmetic in python programming
determine whether W={(x,y,z)/ x+y+z+1=0, x,y,z element of real number} is a subspace of R^3 or not?
Let’s build a sample banking program to perform the common tasks like Withdraw and Deposit.
x=R^n
x=(x1,x2,x3,x4,....,xn).
y=(y1,y2,y3,y4,....,yn)
d(x,y)=√((x1-y1)^2+(x2-y2)^2+(x3-y3)^2+......+(xn-yn)^2)
Show that d is metric on x
Question 4 [25]
The amount of time devoted to preparing for a statistics examination by students is a normally
distributed random variable with a mean of 17 hours and a standard deviation of 5 hours.
Required:
a) What is the amount of time below which only 15% of all students spend studying?
b) What is the amount of time above which only one third of all students spend studying?
c) What is the probability that a student spends between 16 and 20 hours studying?
d) What is the probability that a student spends at least 15 hours studying?
e) What is the probability that a student spends at most 18 hours studying?
Question 3 [25]
Suppose that a mobile telecommunication company’s helpline receives five calls, on average, per
minute.
Required:
a) Discuss the difference between the Binomial probability distribution and the Poisson
probability distribution.
b) How many calls does the company expect to receive in a period of 30 minutes?
c) What is the probability that the company will receive at most four calls in a period of 4
minutes?
d) What is the probability that the company will receive at least three calls in a period of 5
minutes?
e) What is the probability that the company will receive between six and nine calls in a period
of 2 minutes?
#339914 on Dec 2023