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Prove that the probability of P(A/B)=0
Calculate the strength of an electric field 1.2 m away from a point charge of 7.4 x 10-5C.
Calculate the magnitude of force that would act on an object carrying a charge of 3.2 x 10-5C if it was placed in a magnetic field with a strength 4.27 x 104 N/C.
102-45
Let K be a field and f : Z → K the homomorphism of
integers into K.
a) Show that the kernel of f is a prime ideal. If f is an embedding,
then we say that K has characteristic zero.
b) If kerf f= {0}, show that kerf is generated by a prime number
p. In this case we say that K has characteristic p.
In a given sample string, How do you print a double quoted string in between a regular
string using the escape character?
Sample output = It goes without saying, “Time is Money”, and none can deny it.
a. print(“It goes without saying, \“Time is Money\”, and none can deny it.”)
b. print(“It goes without saying, \Time is Money\, and none can deny it.”)
c. print(“It goes without saying” + “Time is Money” + “and none can deny it.”) d. None of the above.
A factory employer claims that their company follows the hours
of work for its employees and the standard deviation of their
working time is 0.5 hours.
A star has a mass of 4.3 Msun. Hydrogen gas accounts for 67.9% of the star's mass. What is the mass of all the hydrogen in this star?
It is given that the total marks of all probability students have an average of 45 marks with a standard deviation of 15 marks. If a student from a sample of 9 students is chosen at random, what is the probability that his marks are between 40 and 60?
2.10. Let H be the subgroup generated by two elements a, b of a group G. Prove that if ab = ba, then H is an abelian group.
