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3 years ago

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Thomas is saving money for a new mountain bike. The amount (a) Thomas needs to save is more than $50.45. Which inequality models

the amount Thomas needs to save?
A.$50.45=a
B.$60.45 C.a>$50.45
D.a<$50.45

1 answer:

AfilCa [17]3 years ago

3 0

C.

This is because the amount is more than what he needs to save, considering that he is probably has some money in his bank already.

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Answer:

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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's grade had the better z-score did better in class.

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Mean of 85, standard deviation of 5, grade of 88. This means that $\mu = 85, \sigma = 5, X = 88$ . So

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

$Z = \frac{88 - 85}{5}$

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Jane's

Mean of 80, standard deviation of 10, grade of 88. This means that $\mu = 80, \sigma = 10, X = 88$ . So

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$Z = \frac{88 - 80}{10}$

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Due to the higher z-score, Jane did better in class.

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Step-by-step explanation:

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