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earnstyle [38]
3 years ago
6

PLEASE HELPPCan you please put how you worked it out?4x+3-x=12x-15​

Mathematics
1 answer:
Fofino [41]3 years ago
8 0

Answer:

2

Step-by-step explanation:

4x+3−x=12x−15

<u>Combine 4x and −x to get 3x</u>.

3x+3=12x−15

<u>Subtract 12x from both sides</u>.

3x+3−12x=−15

<u>Combine 3x and −12x to get −9x</u>.

−9x+3=−15

<u>Subtract 3 from both sides</u>.

−9x=−15−3

<u>Subtract 3 from −15 to get −18</u>.

−9x=−18

<u>Divide both sides by −9.</u>

x= –18÷–9

<u>Divide −18 by −9 to get 2.</u>

x=2

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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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