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kifflom [539]
4 years ago
14

The table below shows the number of marbles of different colors in a bag:

Mathematics
2 answers:
Digiron [165]4 years ago
7 0
Sample Space ={5 Red, 8White, 2 Blacks} = 15 possible outcomes.

Favorable outcomes={5 Red}

1) P(drawing 1st Red) = 5/15
2) P(drawing ANOTHER RED) = 4/14 (because one Red already drawn and NOT replaced, so the remaining Red are now 4 and the new sample space is now 14, since 1 red already drawn), Hence
P( 1 Red AND another Red) = (5/15).(4/15) or:
"5 over 15 multiplied by 4 over 14"
Naddik [55]4 years ago
4 0

5 over 15 multiplied by 4 over 14 is the best answer

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Step-by-step explanation:

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2 years ago
1( m² + 15m + 56) = (____) (m+8)<br>2 a² +5ab + 6b²=(a +2b (_____)<br><br>pastor po ​
Nutka1998 [239]

Step-by-step explanation:

1.

{m}^{2}  + 15m + 56 = ( \:  \:  \:  \:  \: )(m + 8) \\ solution \\  \:  \: taking \: lhs \\   = {m}^{2}  + 15m + 5 \\   = {m}^{2}  + (7 + 8)m + 56 \\ \:  \:  \: \:    = {m}^{2}  + 8m + 7m + 56 \:  \:  \\ now \: taking \: common \: factor \\  m(m + 8) + 7(m + 8) \\ (m + 7)(m + 8) \\ now \\  {m}^{2}  + 15m + 56 = (m + 7)(m + 8)

2.

{a}^{2}  + 5ab +  6 {b}^{2} = ( a + 2b)( \:  \:  \:  \:  \:  \:  \:  \: ) \\ solution \\ taking \:  \: lhs \\  =  {a}^{2}  + 5ab + 6 {b}^{2} \\ =  {a}^{2}  + ( 3+ 2)ab + 6 {b}^{2} \\  =  {a}^{2}  + 3ab + 2ab + 6 {b}^{2}  \\now \: taking \: common \: factor \\ a(a + 3b) + 2b(a + 3) \\ (a + 2b)(a + 3) \\ now \\ {a}^{2}  + 5ab +  6 {b}^{2} = ( a + 2b)( a + 3) ans

this may help you(:

7 0
3 years ago
Question 2 (5 points)
IrinaK [193]

Answer:

x - y + 5 = 0

Step-by-step explanation:

Given:

  • Line passes through (-2,3) and (2,7)

Required:

  • Find the equation of the line

The equation of the line passing through two points is given by

\frac{y-y_{1} }{y_{2}- y_{1} } =\frac{x_{}- x_{1} }{x_{2} -x_{1} }

So, \frac{y-3}{7-3} =\frac{x-(-2))}{2-(-2)}

\frac{y-3}{4} =\frac{x+2}{2+2}

\frac{y-3}{4} =\frac{x+2}{4}

Now, y-3 = x+2

On rearranging,

x - y + 3 + 2 = 0x - y + 5 = 0

Therefore, the equation of the line is x - y + 5 = 0.

5 0
2 years ago
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