8.A best-of-9 series is to be played between two teams A and B; that is, the first team to win five games is the winner. The Mathletes have a chance of 2/3 of winning any given game. What is the probability that exactly seven games will need to be played to determine a winner?

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

A: We want to calculate ϕ(41)

Q: 54Y 7/78° 10

A: Answer

Q: b.) (x +3) : =(x +2) %3D 215

A: Here we have to find the value x=?  13x+3=25x+2

Q: -6- They" for y = -9 3x-5

A:

Q: 6) n - 3 = V 44 – 4n

A:

Q: Find the value of x. 10 15

A:

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: 15. (2 – 10e-2) 0.32

A:

Q: 26. a. 18x²y 2y b. 32x y 2x²y

A:

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

A:

Q: 3) %3D 2.

A: Two dimensional wave equation , by using separation of method

Q: 2) Use linearization to approximate the value of 7.99 +(7.99)².

A:

Q: 35.)2x1 + x2 + 3x3 = 0 = 0 X1 + 2x2 %3D X2 + 2x3 = 0

A:

Q: k2. 7k + 10 k2. 3k k2 + Sk + 15 k2 - 4k - 12

A: Given; 1. [(K2+7k+10).(k2+3k)]/[(k2+8k+15)(k2-4k-12)] 2. 7/(x-2) - 5/(2-x).

Q: 6. + 6x) + (In x - 2)y' = 0

A: Given : yx+6x+(lnx-2)y'=0

Q: 22. 2e' dt 2t

A:

Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

A: Given the differential equation 2y'+y=3t. To find: (a) to draw a direction field for the give…

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: oy=x²+6x+ 5 a = %3D %3D %3D

A:

Q: 2. Ф(24) Answer:

A: We want to find ϕ(24)

Q: 4 y = -x-8 8. (14,-16)

A: Given equation is y = (4/7)x - 8

Q: sec. 3.

A:

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

A:

Q: ind / ( 2² +42 +5) de dx + C

A: To find ∫2x5+4x+5 dx.

Q: 6. (r- 30)° ot

A: In this question ....we fint out all angles of triangles. we know that the sum of all angles of…

Q: 1 5. What is equivalent to 81

A:

Q: Simplify. 7/16-V54

A:

Q: 12. Sx-7 4x-1

A:

Q: 214 8.

A:

Q: 5. E1009 i-2n – 2 E7000 i¬n

A: ∑n=11009i-2n=∑n=11009-1-n          =∑n=11008-1-n+-1-1009          =-1+1-1+1...+1+-1-1009…

Q: 4. 4 x+3 x-3 x2 -9

A:

Q: 1. (1 +V)*dz 2. (22 – 2) dr

A: Solve the following

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: 1 (-7)2 dx r(x-7)2 6.

A: Given,  ∫1xx-72dx

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.