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Mathematics

1 answer:

alexandr1967 [171]2 years ago

3 0

Answer:

Option 2

Step-by-step explanation:

Given :

$\frac{xy^{-6} }{x^{-4}y^{2} }$

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Applied Rule :

$\frac{x^{a} }{x^{b} } = x^{a-b}$

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Solving :

⇒ To remove negative exponents, bring to the opposite side (e.g. if in the denominator, bring to the numerator)

⇒ $\frac{x(x^{4}) }{y^{2}(y^{6}) }$

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Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. (Accommodating 100

Nezavi [6.7K]

Answer:

p99 = 16.4 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in.

This means that $\mu = 14.3, \sigma = 0.9$