In medium1 (z < 0) µ1 = 5µo, while in medium2 (z >0) µ2 = 2µo. If B1 = 4ax - 10ay + 12az mWb/m2 , find B2 and the energy density in medium2.
The null and alternate hypotheses are: H0:µ1≤µ2. H0:µ1>µ2. A random sample of 29 items from the first population showed a mean of 112 and a standard deviation of 9. A sample of 15 items for the second population showed a mean of 97 and a standard deviation of 12. Use the .01 significance level. a. Find the degrees of freedom for unequal variance test b. State the decision rule for .1 significance level c. Compute the value of the test...
WOULL. 8.30 If u, = 24. for region 1 (0 < 44. Jor region 1 (0 < 0< T) and uy = 5u. for region 2 (TT < 0 < 2TT) and B2 - 10a, + 15a– 20a, mWb/m2. Calculate (a) B, (b) the energy densities in the two media. <T) a
Scenario 3. A 5th grade school teacher believes that she has an exceptionally gifted group of students in her class this year. She learns that the national average score on the 5th grade annual test is 150, with a standard deviation of 30. She wants to compare her student’s scores to the national average. 1. What is the null hypothesis for scenario 3? a. HO: µ1 = µ2 b. HO: µ1 = µ2 =µ3 c. r = 0 d. H0:...
0 1 Let S span 1 1 1 0 }, a basis for S. Show that| (a) Let B1 { 1 0 1 1 0 is also a basis for S 0 B2 { 1 (b) Write each vector in B2 (c) Use the previous part to write each vector in B2 with respect to Bi (how many components should each vB, vector have?) (d) Use the previous part to find a change of basis matrix B2 to B1. What...
Let a uniform surface charge density of 5 nC/m2 be present at the z = 0 plane, a uniform line charge density of 8 nC/m be located at x = 0, z = 4, and a point charge of 2pC be present at P(2, 0, 0). If V 0 at M(O, 0, 5), find Vat N(1, 2, 3)
C4v E 2C4 C2 2sigmav 2sigmad A1 1 1 1 1 1 z A2 1 1 1 -1 -1 Rz B1 1 -1 1 1 -1 B2 1 -1 1 -1 1 E 2 0 -2 0 0 (x,y) (Rx, Ry) The C4v character table is given above. Prove that the following combinations of irreps are orthogonal. a) B2 E b) A2 B1 c) A1 B2
Consider an ideal gas of noninteracting bosons of mass m 0 in 3-D. 1. The fugacity z-eß-c"/hT of the gas can be expanded as a polynomial of the density ρ(-1/v yv): Find Ao, A, and A2. Useful formula: /2(e)+ .. 2. Ί1Kjaessme can bc expanded as The pre where po-is the pressure of a classicla ideal gas Without any calculation, determine the sign of B2, and explain your reason. Calculate B2 Sketch B2 as a function of temperature Consider an...
Problem 5 10a, A/m, while a current filament situated at y The z 0 plane carries current K -0, z . 6 carries current I along a. Find I such that H(0,0,3)-0
19. Here are homogeneous coordinates for six points. Ai = (1, 0, 1) B1 (2, 0, 1) CI = (5, 0, 1) on the line [0, 1, 0] A2 (1,-2, 0) B2 = (1,-2, 1) C2 (-1, 2, 1) on the line [2, 1, 0] (Notice that A2 is an ideal point.) Refer to the statement of Pappus' Theorem on page 312. Find the coordinates of the cross joins X, Y, and Z, and find the coordinates of their common...
(a) Let P(B1∩B2)>0, and A1∪A2⊂B1∩B2. Then show that P(A1|B1).P(A2|B2)=P(A1|B2).P(A2|B1). (b) Let A and B1 be independent; similarly, let A and B2 be independent. Show that in this case, A and B1∪B2 are independent if and only if A and B1∩B2 are independent. (c) Given P(A) = 0.42,P(B) = 0.25, and P(A∩B) = 0.17, find (i)P(A∪B) ; (ii)P(A∩Bc) ; (iii)P(Ac∩Bc) ; (iv)P(Ac|Bc).