Share a source (e.g., news, expert opinions, academic articles and so and so forth) and discuss how it informs your understanding of the full-price apparel and fashion retail industry.

How do women and men compare in the pursuit of academic degrees? The table below present counts (in thousands) from the Statistical Abstract of degrees earned in 1996 categorized by the level of the degree and the sex of the recipient.

Bachelor Master Professional Doctorate Totals

Female 642 227 32 18

Male 522 179 45 27

Totals

i. Explain why sex is the independent variable.

j. Describe the differences in degree distribution between men and women. Use appropriate percentages.

k. Are these differences significant? Use an appropriate statistical test (with ? = 0.01) to determine whether sex and academic degree are independent.

l. Find lambda for this table. What does this tell us?

y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions. (If not possible, enter IMPOSSIBLE.)

y(0) = 1, y'(π) = 7

y =

Craps is a dice game in which the players make wagers on the outcome of the roll, or a series of rolls, of a pair of dice. Most outcomes depend on the sum of the up faces of two, fair, six-sided dice.

1) What is the lower class boundary of the "6" class?

2) Find the mean.

3) Find the standard deviation.

4) Find the z-score for snake eyes.

Find the eigenvalues

λ_n

and eigenfunctions

y_n(x)

for the given boundary-value problem. (Give your answers in terms of n, making sure that each value of n corresponds to a unique eigenvalue.)

y'' + λy = 0,  y(0) = 0,  y(π/6) = 0

A current of 5 mA flows through a 2 mm inner-diameter glass tube filled with 1.0 mol dm-3 NaCl(aq) solution in the anode compartment in addition to a CH3COONa (aq) solution in the cathode compartment. The boundary created between the two solutions moves 6.05 mm towards the anode in 10 minutes. Calculate the transport number of the chloride ion in the solution.

Determine the solution of the following initial boundary-value problem using the method of separation of Variables

Uxx=4Utt 0<x<Pi t>0

U(x,0)=sinx 0<=x<Pi

Ut(x,0)=x 0<=x<Pi

U(0,t)=0 t>=0

U(pi,t)=0 t>=0

Find the eigenvalues

λ_n

and eigenfunctions

y_n(x)

for the given boundary-value problem. (Give your answers in terms of n, making sure that each value of n corresponds to a unique eigenvalue.)

x²y'' + xy' + λy = 0,  y'(e⁻¹) = 0,  y(1) = 0

a rectangular plate OPQR is bounded by the lines x=0, y=0 x=4, y=4 determine the potential distribution u(x,y) over the rectangular using the laplace equation uxx+uyy=0 boundary conditions are u(4,y), u(x,0)=0, u(x,0)=x(4-x) usimg separation of variables