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2 years ago

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Marie is bringing bagels and cream cheese to school as a birthday snack for her class. The cost of b bagels and c packages of cr

eam cheese is 0.85b+2.5c dollars. Marie is bringing 30 bagels and 2 packages of cream cheese.

1 answer:

Trava [24]2 years ago

8 0

So you have to plug in the amount to the cost making you problem look like this:
0.85(30)+2.5(2)
25.5+5=30.5

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Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

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.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have $X = 85.1, \mu = 61.1, \sigma = 12$ . So

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

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Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

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$Z = \frac{299.2 - 264}{22}$

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For Tobias, we have $X = 7.26, \mu = 7.1, \sigma = 0.4$ .

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