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neonofarm [45]
3 years ago
6

Why using the order of operations is important.

Mathematics
1 answer:
Otrada [13]3 years ago
7 0

Answer:

Simply: It makes sure you get the correct answer

Step-by-step explanation:

Using order of operations (pemdas) ensures you do the correct operations in the correct order. If not, then everyone could get loads of different answers for the same question. It provides order in the math world.

Hope this helps!

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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
kondaur [170]

Answer:

Due to the higher z-score, Norma should be offered the job

Step-by-step explanation:

Z-score:

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 question:

Whoever has the higher z-score should get the job.

Norma:

Norma got a score of 84.2; this version has a mean of 67.4 and a standard deviation of 14.

This means that X = 84.2 \mu = 67.4, \sigma = 14

So

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

Z = \frac{84.2 - 67.4}{14}

Z = 1.2

Pierce:

Pierce got a score of 276.8; this version has a mean of 264 and a standard deviation of 16.

This means that X = 276.8, \mu = 264, \sigma = 16

So

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

Z = \frac{276.8 - 264}{16}

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Reyna:

Reyna got a score of 7.62; this version has a mean of 7.3 and a standard deviation of 0.8.

This means that X = 7.62, \mu = 7.3, \sigma = 0.8

So

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

Z = \frac{7.62 - 7.3}{0.8}

Z = 0.4

Due to the higher z-score, Norma should be offered the job

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Step-by-step explanation:

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