explain how you can mentally determine whether 125 x 0.9 is less than, greater than, or equal to 125.

Mathematics

2 answers:

ra1l [238]3 years ago

6 0

It would be less then (<) because when u multiply by a number less then 1, it becomes smaller

Citrus2011 [14]3 years ago

3 0

Anything times 1 is equal to itself. Anything times less than one is less than itself. Anything times greater than one is greater than itself. Therefore, 125 times .9, which is less than one, is less than 125

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The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of

Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

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:

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

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 4.84, \sigma = 0.05$