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____ [38]
3 years ago
7

Two teams A and B play a series of games until one team wins four games. We assume that the games are played independently and t

hat the probability that A wins any game is p. What is the probability that the series lasts exactly five games?
Mathematics
1 answer:
crimeas [40]3 years ago
6 0

Answer:

4pq(p³+q³)

Step-by-step explanation:

Exactly 5 game would be when 4 wins and 1 loss of a particular person

loss has to be one of the first 4 games

A wins: qp⁴ + pqp³ + p²qp² + p³qp

= qp⁴ + qp⁴ + qp⁴ + qp⁴ = 4qp⁴

B wins: pq⁴ + qpq³ + q²pq² + q³pq

= pq⁴ + pq⁴ + pq⁴ + pq⁴ = 4pq⁴

A wins or B wins:

4pq⁴ + 4qp⁴ = 4pq(q³+p³)

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If you subtract 16 from my number and multiply the difference by -3 the result is -57 what is my number
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Answer:

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What is the surface area of the cylinder in terms of ? The diagram is not drawn to scale.
Delicious77 [7]

Answer:

SA = 748π in²

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>r</em> = 11 in

<em>h</em> = 23 in

<u>Step 2: Find Surface Area</u>

  1. Substitute in variables [Surface Area of a Cylinder Formula]:                       SA = 2π(11 in)(23 in) + 2π(11 in)²
  2. Evaluate exponents:                                                                                         SA = 2π(11 in)(23 in) + 2π(121 in²)
  3. Multiply:                                                                                                             SA = 506π in² + 242π in²
  4. Add:                                                                                                                   SA = 748π in²
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The table below shows 10 data values:
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It would be d , because the lowest number which is your (min) is 72 the highest number which is your (max) is 93 . Your median would be 85 because you would add 84 & 86 and in result you would get 170 then you would divide by 2 and get 85 . Your Q1 would be 76 and your Q3 would be 91 , there is 10 numbers in total separate them (72,74,76,83,84) and (86,89,91,92,93) then find the middle number in each

Hope this helps !
7 0
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