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Inga [223]
3 years ago
12

Solve 2-3x = -x - 8

Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

2-3x = -x - 8

Move -x to the other side

Sign changes from -x to +x

2-3x+x= -x+x-8

2-3x+x=-8

2-2x= -8

Move 2 to the other side

2-2-2x= -8-2

-2x= -10

Divide both sides by -2

-2x-2= -10/-2

Answer: x= 5

Vera_Pavlovna [14]3 years ago
3 0
2-3x=-x-8
-3x=-x-10
-2x=-10
X=5
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the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

Step-by-step explanation:

Let assume that n should represent the number of the students

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\mu = E(x) = 2.991013 ; \\ \\ E(x^2) = 9.28103

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Now; P(\bar \geq 2.3) = P( \bar x - 2.991013 \geq 2.3 - 2.991013) \\ \\ = P( \omega  \geq .691013)  \ \ \ \  \ \ \ \ \ \ (x = E(\bar x ) - \mu)

Using Chebysher one sided inequality ; we have:

P(\omega \geq -.691013) \geq \dfrac{(.691013)^2}{Var ( \omega) +(.691013)^2}

So; (\omega = \bar x - \mu)

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To determine n; such that ;

\dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2} \geq 0.96 \\ \\ \\ (.691013)^2(1-.96) \geq \dfrac{-3348711*.96}{n}

⇒ n \geq \dfrac{.3348711*.96}{.04*(.691013)^2}

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