Question Solved1 Answer The probability that a patient recovers from a stomach disease is 0.6. Suppose 20 people are known to have contracted this disease. (Round your answers to three decimal places.) A) What is the probability that exactly 13 recover? B) What is the probability that at least 11 recover? C) What is the probability that at least 13 but not more than 19 recover? D) What is the probability that at most 15 recover?

As part of the study on ongoing fright symptoms due to exposure to horror movies at a young age, the following table was presented to describe the lasting impact these movies have had during bedtime and waking life: Waking symptoms Bedtime symptoms Yes

Pre-Equilibria Conditions in Reaction Mechanisms 5Br (aq) + BrO3(aq) + 6H+(aq) + 3Br2() + 3H20(1) The above reaction is expected to obey the mechanism: BrO3(aq) + H+(aq) HBrO3(aq) Fast equilibrium HBrO3(aq) + H+(aq) H2BrO3(aq) Fast equilibrium H2BrO3+ (aq) + Br"(aq) (Br-BrO2)(aq) + H2O(1) Slow (Br-Broz)(aq) + 4H+(aq) + 4Br"(aq) kiteproducts Fast Choose, from the list below, correct expressions for the overall rate law which are completely consistent with the above mechanism. -d[BrO3-]/dt = k[Br"][BrO3 ][H+]2 @d[Br-BrO2]/dt = k[Br"][BrO3"][H+]2 -d[BrO3-/dt = K[Br"] k[H+][Br"][BrO3-12 = -d[BrO3-]/dt -d[Br"]/dt = k[Br"][H+]2[BrO3-] -d[+]/dt = k[H+]2[Br"][BrO3-] 1 pts Submit Answer Tries 0/8 For each of the given rate expressions choose the correct expression for the rate constant (k) from the list below. A. K = 5xk3 B. K = [(k1k2k3)/(k-1k-2)] C. K = (K1-k-1)(k2-k-2)k3 D. K = 5x(k1k2k3-k_1k-2) E. K = 5x([(k1k2k3)/(k-1k-2)]) F. none of the above -d[BrO3']/dt -d[Br"]/dt -d[H+]/dt

6. Give a parse table for the following grammar. (S is the start symbol.) 1. S → ABe 2. A → dB 3. A → aS 4. A → c 5. B → AS 6. B → b Using your parse table, give a trace of the parse for the input string dbbe. Give the unused input string, stack, and output (sequence of rule numbers) at the beginning of each iteration.

2 point(s) 5Br (aq) + Broz (aq) + 6H+ (aq) + 3Br2(1) + 3H20 (1) The above reaction is expected to obey the mechanism: BrO3(aq) + H+(aq) HBrO3(aq) Fast equilibrium HBrO3(aq) + H+(aq) H2BrO3(aq) Fast equilibrium Slow H2Bro3+(aq) + Br"(aq) Hz, (Br-BrO2)(aq) + H20 (1) (Br-Br02)(aq) + 4H+(aq) + 4Br"(aq) key products Fast Choose, from the list below, correct expressions for the overall rate law which are completely consistent with the above mechanism. -d[BrO3"]/dt = k[H+]2[Bro3"][Br"] [H+][Br"][BrO3-)2 = -d[BrO3-)/dt -d[H+]/dt = k[BrO 3 ][Br"][H+]2 -d[Br"]/dt = k[H+]?[Br"][BrO3-] k[Br"][H+]2[BrO3] = -d[Br"]/dt A-d[+]/dt = k[Br"] Submit Answer 1 pts Tries 0/5 For each of the given rate expressions choose the correct expression for the rate constant (k) from the list below. A. K = 6 x k3 B. K = ki - k-1 kikak3 5x (k.1k-2 D. K = 5 x (k1k2k3 - k. 1 k-2) Ę. K = Kikk3 C.K. kulk-2 F. none of the above -d[BrO3-]/dt -d[+]/dt -d[Br"]/dt 1 pts Submit Answer Tries 0/5

Q.No.4: Describe semiquantitatively the motion of an electron under the presence of a constant electric field in the x direction, E =E, xºand a space varying magnetic field given by B = B, a(x + 2) xº + B, [1 + a(x - 2)] Z., where E, B, and a are positive constants, ax[<<1 and az <<l. Assume that initially the electron moves with constant velocity in the z direction, vt = 0) = V. z. Verify if this magnetic field satisfies the Maxwell equation x B=0. (12)

6. Let S be the set of perfect binary trees, defined as: • Basic step: a single vertex v with no edges is a perfect binary tree T.. Recursive step: if T is a perfect binary tree, then a new perfect binary tree T' can be constructed by taking two copies of T, adding a new vertex v, and adding edges between v and the roots of each copy of T Prove that h(T) = log2(n(T) + 1) – 1 for any perfect binary tree T, where n(T) is the number of vertices of T and h(T) is the height of T.