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satela [25.4K]
3 years ago
5

Katie solved the equation by completing the square. X2+12x−7=0 which equation shows one of the steps katie could have taken to c

omplete the square?

Mathematics
2 answers:
Nikolay [14]3 years ago
8 0

Answer:

x^2+12x+36=7+36

Step-by-step explanation:

I just took the test.

sdas [7]3 years ago
4 0

solution:

x^{2}+12x-7=0\\add 7 to both side of the equation\\x^{2}-12x=7\\to creat a trinomial square on the left side of the equation.\\find a value that is equal to the square of b and the cofficent of x.\\(\frac{b}{2})^2=(-6)^2\\add the term to each side of the equation\\x^2-12x+(-6)^2=7+(-6)\\x^2-12x+36=43\\(x-6)^2=43\\solve the equation for x.\\take the square root of each side of the equation to the set up the solution x,\\(x-6)^2.\frac{1}{2}=\pm \sqrt{43}\\x-6=\pm \sqrt{43}\\x=6\pm \sqrt{43}

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Answer:

The standard deviation of the load distribution is of 5102.041 pounds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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\mu = 20000

Also, the probability that the load is between 10,000 and 30,000 pounds is 0.95.

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30,000 is the 97.5th percentile:

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