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lapo4ka [179]
3 years ago
13

Solve the inequality |4x-10|greater than or equal to 14

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
|4x-10|  \geq 14 \\ +10 \\ |4x|  \geq 24\\  \frac{|4x| \geq 24}{4} \\ |x|  \geq 6
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Answer:

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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 = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

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

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

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93.32% probability that a randomly selected score will be greater than 63.7.

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Hi there --

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Answer:

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Step-by-step explanation:

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