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blsea [12.9K]
3 years ago
14

An exam consists of 15 true-or-false questions. If a student guesses at every answer, what is the probability that he or she wil

l answer exactly 9 questions correctly? (Round your answer to three decimal places.).
Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0
<span>C(15,9) * (1/2)^9 * (1/2)^6 = 5005/32768 = .153 approx</span>
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Step-by-step explanation:

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Let b = blue marbles
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D.

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Solve for x.<br><br> (x−2)^2+2=38<br><br> x= ___ or x= ___
Elan Coil [88]

Answer:

x  \: = \:  \boxed{ \bold{  - 4  }}\:    \:    \text{or} \:   \: x \:  = \:  \boxed{ \bold{ 8}}

Step-by-step explanation:

(x \:  -  \: 2 {)}^{2}  \:  +  \: 2 \:  =  \: 38

{x}^{2}  \:  -  \: 4x \:  +  \: 4 \:  +  \: 2 \:  =  \: 38

{x}^{2}  \:  -  \: 4x \:  +  \: 6 \:  =  \: 38

{x}^{2}  \:  -  \: 4x \:  +  \: 6 \:  -  \: 38 \:  =  \: 0

{x}^{2}  \:  +  \: 4x \:  -  \: 8x \:  -  \: 32 \:  =  \: 0

x \:  \times  \: (x \:  +  \: 4) \:  -  \: 8(x \:  +  \: 4) \:  =  \: 0

(x \:  +  \: 4) \:   \times  \: (x \:  -  \: 8) \:  =  \: 0

  • When it happens that the product of the factors is the same as zero. It is divided into two possible cases.

x \:  +  \: 4 \:  =  \: 0 \\ x \:  -  \: 8 \:  =  \: 0

  • We solve the two equations:

x \:  =  \:  - 4 \\ x \:  =  \: 8

<h2>Answer: </h2>

x \:  =  \:  - 4 \\ x \:  =  \: 8

<h3><em><u>MissSpanish</u></em></h3>

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2 years ago
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