Complete the sentence by choosing the best answer below. For two events A and B, P(A)=0.4, P(B)=0.3, and P(A and B)=0. It follows that A and B are disjoint but not independent. neither disjoint nor independent. O independent but not disjoint. complementary. O both disjoint and independent.

Q: 5. Ф(41) Answer: Show your work or explain your reasoning here:

A: We want to calculate ϕ(41)

Q: 国 7.

A: Solve for a

Q: 4. 10p-p-2

A: The given expression is : 10p2-p-2 To factorize the given expression.

Q: 1 6. V1+ Vrdx 0,

A: Step: 1 Given that  ∫011+xdxTake y=∫011+xdx---(1) let 1+x=t⇒x=t-1---(2)differentiating on both…

Q: 7. Use your graph to estimate how the scale factor changes between a box with volume of 1 cubic foot…

A:

Q: 1. ²-4 Difference of squares

A:

Q: Ч__3x т х-5 X2-4

A: Given,             4x-5+3xx2-4

Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

A:

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y>-x2-22x-y ≥-3

Q: (b) Give an orthogonal basis for Span {X₁, X₂, X3}.

A:

Q: .2 y = 4 - x² and x +y = 2.

A:

Q: 12. Sx-7 4x-1

A:

Q: 2. tox²Sc.

A:

Q: 7.2-2

A: Given:   x y 644 623 493 472 532 492 462 661 565 540   502   549   518

Q: 214 8.

A:

Q: 8-8.2+5.0

A:

Q: 2. Factor x from ax + bx

A: We have to factor x from ax+bx.

Q: 5x + 8 = 78

A: We Solve the Equation, Find The value of x.  Given Equation is 5x+8= 78.

Q: 2. Ꮖ2 ds Ꮭ Ꮖ1 Ꮖ

A: The integral is: ∫x1x2dsx. To Do: We have to evaluate this integral.

Q: Differentiate.

A:

Q: General Solutions and Phase Portraits. In each of Problems 1 through 6, find the general solution of…

A: A system of equations is given as, x' = -352-522 x. The objective is to find the general solution of…