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lara31 [8.8K]
3 years ago
5

2y=x+6 2y-x=6 how do i solve following the system of equations

Mathematics
1 answer:
Margarita [4]3 years ago
7 0

2y = x + 6 \\  \\ 1. \: 2y - 6 = x \\ 2. \: x = 2y - 6 \\  \\  \\ 2y - x = 6 \\  \\ 1. \:  - x = 6 - 2y \\ 2. \: x =  - 6 + 2y \\  3. \: x = 2y - 6

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pishuonlain [190]

We are given the following information concerning the three production machines;

\begin{gathered} Of\text{ the total production;} \\ A=55\text{ \%}=0.55 \\ B=25\text{ \%}=0.25 \\ C=20\text{ \%}=0.20 \end{gathered}

Also, we are given the percentage of defective output as follows;

\begin{gathered} A=3.5\text{ \%}=0.035 \\ B=4.5\text{ \%}=0.045 \\ C=5.5\text{ \%}=0.055 \end{gathered}

Therefore, if an item is selected randomly, the probability that the item is defective would be;

\begin{gathered} P\lbrack defective\rbrack=(0.55\times0.035)+(0.25\times0.045)+(0.20\times0.055) \\ P\lbrack\text{defective\rbrack}=0.01925+0.01125+0.011 \\ P\lbrack\text{defective\rbrack}=0.0415 \end{gathered}

ANSWER:

The probability that the item is defective would be 0.0415

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