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dexar [7]
2 years ago
11

A BAG HAS 2 YELLOW CUBES 3 BLUE CUBES AND 1 YELLOW CUBE. WHAT WOULD BE THE PROBABILITY TO PULL OUT YELLOW.

Mathematics
2 answers:
Blizzard [7]2 years ago
7 0

Answer:

1/3

Step-by-step explanation:

The total of the cubes is 6 right? So, there are 2 yellow cubes. So how many aren't yellow cubes stay out of the equation. So the unsimplified answer is 2/6.

Lapatulllka [165]2 years ago
5 0

Answer:

1/2 <u>or</u> 0.5 <u>or</u> 50%

Step-by-step explanation:

3 + 3 = 6

3/6 = 1/2

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Given that α and β are the roots of the quadratic equation <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B6x-7%3Dp" id="Tex
siniylev [52]

Answer:

\large \boxed{\sf \ \ \ p=-11 \ \ \ }

Step-by-step explanation:

Hello,

\alpha \text{ and } \beta \text{ are the roots of the following equation}

   2x^2+6x-7=p

It means that

   2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\

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So we got two equations

   2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1

For \beta =0, \ \ \alpha =0, \ \ p = -7

For \beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11

I assume that we are after two different roots so the solution for p is p=-11

b) \alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1

So a quadratic equation with the expected roots  is

x(x-1)=x^2-x

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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