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strojnjashka [21]
3 years ago
5

The sum of the interior angle measures of a polygon with n sides is 180 find n

Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer: n is 3


Step-by-step explanation: n can only be 3 as a triangle is the only polygon whose internal angles have a sum of 180 degrees


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a five-card hand is dealt at random from a standard deck. What is the probability that the hand contains exactly two black cards
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Using the principle of binomial probability, the probability of having exactly two black cards is 0.3125

  • <em>Probability</em><em> </em><em>of</em><em> </em><em>having</em><em> </em><em>a</em><em> </em><em>black</em><em> </em><em>card</em><em> </em><em>=</em><em> </em><em>26</em><em>/</em><em>52</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em>

<u>Using the binomial probability relation</u> :

  • P(x = x) = nCx * p^x * q^(n-x)
  • <em>p</em><em> </em><em>=</em><em> </em><em>probability</em><em> </em><em>of</em><em> </em><em>success</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em>
  • <em>Number of</em><em> </em><em>picks</em><em>,</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>5</em>
  • <em>q</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>-</em><em> </em><em>p</em><em> </em><em>=</em><em> </em><em>0.5</em><em> </em>
  • <em>x</em><em> </em><em>=</em><em> </em><em>2</em><em> </em>

Hence,

P(x = 2) = 5C2 × 0.5² × 0.5³

P(x = 2) = 10 × 0.25 × 0.125

P(x = 2) = 0.3125

Hence. Probability of having exactly 2 black cards is 0.3125

Learn more : brainly.com/question/12474772

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