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How to calculate Year over Year growth rate for non-yearly data? for example how to calculate US Q4 you GDP growth rate?
A bowling ball weighs 12.0 pounds and the length of a bowling lane is 60 feet, assume that you can treat the ball in the lane as a particle on a line. What is the quantum number that corresponds to the balls velocity of 7.55 miles per hour?
Write a function, reverseDigit, that takes an integer as a parameter and returns the number with

its digits reversed. For example, the value of reverseDigit(12345) is 54321; the value of

reverseDigit(5600) is 65; the value of reverseDigit(7008) is 8007; and the value of reverseDigit(-

532) is -235.
One mole of an ideal gas is heated at a constant pressure of 101300N m from 273.2 K. Calculate the work involved R=8.314 j/mol/K
A proton undergoes a head on elastic collision with a particle of unknown mass which is initially at rest and rebounds with 16/25 of its initial kinetic energy. Calculate the ratio of the unknown mass with respect to the mass of the proton.
A bank wishing to determine the average amount of time a customer must wait to be
served took a random sample of 100 customers and found that the mean waiting time
was 7.2 minutes. Assuming that the population standard deviation is known to be
15 minutes, find the 90% confidence interval estimate of the mean waiting time for
all the bank’s customers.
A box of mass 50 kg is placed on an inclined plane. When the angle of the plane is increased to 30º, the box begins to slide downwards. Calculate the coefficient of static friction between the plane and the box. Draw the free body diagram.
1) Which of the following statements are true and which are false? Justify your answer with a
short proof or a counterexample.
i) The relation ∼ defined by R by x ∼ y if x ≥ y is an equivalence relation.
ii) If S1 and S2 are finite non-empty subsets of a vector space V such that [S1] = [S2], then
S1 and S2 have the same number of elements.
iii) For any square matrix A, ρ(A) = det(A)
iv) The determinant of any unitary matrix is 1.
v) If the characteristic polynomials of two matrices are equal, their minimal polynomials are
also equal.
vi) If the determinant of a matrix is 0, the matrix is not diagonalisable.
vii) Any set of mutually orthogonal vectors is linearly independent.
viii) Any two real quadratic forms of the same rank are equivalent over R.
ix) There is no system of linear equations over R that has exactly two solutions.
x) If a square matrix A satisfies the equation A2 = A, then 0 and 1 are the eigenvalues of
For the random variable X with the following probability density function
f (x) ={2e^(-2x); 0 is greater than equal to x and 0; 0 is smaller than x
i) ) P (| X − μ | >1
ii) Use Chebyshev’s inequality to obtain an upper bound on P[| X − μ | >1] and
compare with the result in (i).
A pendulum bob of mass 50 g is suspended on a string from the ceiling of an elevator which is moving downwards with an acceleration 1.5 ms−2. Draw the free body diagram using the non-inertial frame of reference and determine the tension in the string. (Take g = 10 ms−2)