PLEASE HELP ME !!! :( Estimate 2395 dividied by 82 = ? show your work step -by-step

Mathematics

1 answer:

Mamont248 [21]2 years ago

3 0

Answer:

Step-by-step explanation:

82 * 10 = 820

820 * 3 = 2,460

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A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri

Softa [21]

Answer:

The data item is $X = 580$

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.

Mean of 400 and a standard deviation of 60.

This means that $\mu = 400, \sigma = 60$