What is the solution to the inequality |x-4| less than 3?

Mathematics

1 answer:

dybincka [34]3 years ago

5 0

Answer:

Step-by-step explanation:

x cannot have any negative value, or the sum with -4 will create -5 or lower, and the corresponding absolute value is therefore larger than 3.

so, A and C are automatically out.

D can't be right, because it is an "or" condition, so, we could violate one of the conditions (like "x greater than 1"), and it would still be OK, as long as we keep the second. but that is not true, as we just ruled out negative x values.

so, only B includes the "and" condition.

it means 1 has to be less than x AND x has to be less than 7.

and that is correct.

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You are given a set of data with a mean of 50 and standard deviation of 8. Using the normal curve, give an example of an outlier

Tatiana [17]

Answer:

Anything less than 26, and greater than 74.

Step-by-step explanation:

In normal distribution, the outlier is more than e ≈ 2.72 standard deviations above quartile 3, and e standard deviations below quartile 1. These quartiles are divisions that make up what is known as the innerquartile range(IQR). Which defines the variability of a data set given by IQR = Q3-Q1.

Given that the mean of this data is 50, and the standard deviation is 8.

Our outliers are anything less than 26, and anything greater than 74. Since outliers are anything outside the mean plus and minus the standard deviation times 3

$outliers :/ = :/ mean :/ \pm$