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Hunter-Best [27]
3 years ago
10

Solve using Quadratic Formula x^2 + 3x - 3 = 0​

Mathematics
1 answer:
katrin [286]3 years ago
4 0

Answer:

a= 1 , b= 3 , c= –3

x =  \frac{ - b \frac{ + }{}  \sqrt{ {b}^{2}  - 4ac} }{2a}  \\ x =  \frac{ - 3  \frac{ + }{} {}  \sqrt{ {3}^{2}  - 4(1)( - 3)} }{2(1)}  \\  =   \frac{ - 3 \frac{ + }{}  \sqrt{9 + 12} }{2}  =  \frac{ - 3 \frac{ + }{} \sqrt{21}  }{2}  \\ \\  x =  \frac{ - 3 \frac{ + }{} \sqrt{21}  }{2}  \\  \\ x = 0.79 \\ x =  - 3.79

I hope I helped you^_^

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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
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a) 0.0869 = 8.69% probability that the thickness is less than 3.0 mm

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Step-by-step explanation:

Problems of normally distributed samples are solved using 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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In this problem, we have that:

\mu = 4.9, \sigma = 1.4

(a) the thickness is less than 3.0 mm

This is the pvalue of Z when X = 3.

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

Z = \frac{3 - 4.9}{1.4}

Z = -1.36

Z = -1.36 has a pvalue of 0.0869

0.0869 = 8.69% probability that the thickness is less than 3.0 mm

(b) the thickness is more than 7.0 mm

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Z = \frac{7 - 4.9}{1.4}

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