4. Suppose that a coin lands on heads with probability 0.5 and is tails otherwise. You toss the coin 100 times and get 55 heads. Was the original probability wrong? Explain your reasoning.

Q: 2+3

A: Given,        2+3jyx-j=2j

Q: Find the QR factorization of A = Q= R = Ex: 1.23 Ex: 1.23 -4 4 3] 0

A:

Q: 5-solve for the unknown d (P,„P.) = /2ī d (P,P,) = 5 1. P,(x,2,3) P,(2,1,1) 2. P,(x ,x,1) P,(0,3,5)

A:

Q: dw 67. S w2/5

A:

Q: 42x+10 b.4r nd rules for these t-tables: 10 47 6. 41 5. 21 22 100 405 10 31 2 2. 13 3. 17 100 497…

A:

Q: dx Evaluate 24+x²

A:

Q: Q5 1 Find proj; (w) where w= and v = 2 -2 3

A: Solution:Given     w=10-2     and     v=123To find:projvwFormula:projvw=P wwhere P=v vTvT v

Q: 1-j 1 Evaluate a. b. 1+j 1+j

A: Given: 1-j1+j Now,  1-j1+j=1-j1+j×1-j1-j=1+j2-2j12-j2=1-1+2j1-(-1)=2j2=j Hence, 1-j1+j=j

Q: 3x2+2x x2-6x Determine the non-permissible value(s) for Ox + 0, x # % Ox + 0, x + 6 Ox + 6 Ox + 0, x…

A: The function is given by 3x2+2xx2-6x To evaluate : The non-permissible values of x

Q: Find the following products for P (7,0,2), q = (-2,2,-2), 7 = (0,2,-3) (F. P)a

A:

Q: 6x 4x 7x + 40 Compute 7. O6+ 80 + C O 3x + 4x - 7In]x| + 40 + C O 18x+ 8x - 7 +C 2x O 3x + 4x-7in|x|…

A:

Q: I Find all values of a for which rank(A) = 2. -1 10 5 A = 2 2 x -3 1 3 6 2

A:

Q: Evaluate L- { 3 2s (s+2)² (s–2)*

A: we need to determine the laplace invesreℒ-132s-3s+22+ss-24

Q: Let K be a point on the side BC of AABC. Let KN be the angle bisector of <K in AAKC. Label the…

A: Consider the given figure

Q: Let B- 3n - 2m :n, m EN Then inf(B) = nm

A:

Q: x³ + 27 dx . x+3 Evaluate x3 +9x + C 3 x3 3 +žx²+9x+C 3 x3 + x² – 9x + C 3 2 x3 3 x² + 9x+C 2 3

A: We know that, The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: 1111

A: The expression  is j1111. Simplify the expression using exponent rule as follows.…

Q: d) S t3 – 2t2 – 1 dt t2

A: (d) We need to evaluate the following integral ∫13t3-2t2-1t2dt

Q: 3x + 3x3 – 5x2 + x -1 dx x2 + x-2 Q4, Evaluate

A:

Q: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b2​2​​ + 3y + 5 B 8b2​2​​ + 9bb + 5y C 8b2​2​​ + 9by +…

A: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 = ?

Q: inn (Q4) = D4 OZ2 O Z2 Z4

A: we have to solve given problem:

Q: is equal to 2. O True O False

A: topic - division

Q: Find u x v, v x u, and v x v.

A:

Q: Find u x v, v x u, and v x v. u = (5, 6, -4) v= (-6, -9, -8) (a) ux v (b) v xu (c) v x v

A:

Q: Q3- If A = 4i + 2j – 3k , B = 5i + 2j – k Find |A X B|

A:

Q: find the coefficient of t8 in expansion of 2t(3+t)20

A:

Q: Let 0 0 1 2 1 10 01 b₂ 2 -1 1 0 0 1 b3 Let x satisfy Ax = b. Which of the following is the…

A:

Q: L1 2s -1 s2(s + 1) Find L

A:

Q: x2 + 4xy + 4y2 factors to (x + 2y)(x + 4y) O True O False

A: The given data is: x2+4xy+y2  factors to x+2yx+4y is  True False

Q: 27 +y factors to (3x+y)(9x-3p)+y. O True O False

A: Given query is to find statement is true or not.

Q: L-1 | 53 5 = 3s +1 3 – s2 + s - 1

A: Find the inverse Laplace transform of 3s+1s3-s2+s-1. Rewrite the denominator:…