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Alina [70]
2 years ago
9

Find the diameter that represents the 49th percentile

Mathematics
1 answer:
EleoNora [17]2 years ago
6 0

Using the normal distribution, the diameter that represents the 49th percentile is of 1.52 units.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Using a calculator, the mean and the standard deviation for the diameters are given as follows:

\mu = 1.524, \sigma = 0.1226

The 49th percentile is <u>X when Z = -0.025</u>, hence:

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

-0.025 = \frac{X - 1.524}{0.1226}

X - 1.524 = -0.025 x 0.1226

X = 1.52.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

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Step-by-step explanation:

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Jimmy is incorrect.

Using long division, you can find that the real answer.

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Next, subtract 9x(x-2) from the expression, leaving you with 20x-40. Finally, subtract 20(x-2) from the expression, leaving you with a remainder of 0. This means that the real quotient is x^2+9x+20. Hope this helps!

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Step-by-step explanation:

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As we know the relation of area of similar figures, i.e.

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