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If z > 10, which of the following is the smallest?

User Ashitosh
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1 Answer

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Final answer:

The smallest value when z > 10, based on the information given, is x = 1, which is related to the examples of z-scores and their corresponding x-values in the context of defective cars.

Step-by-step explanation:

To determine the smallest value when z > 10, we must look at the different equations and scenarios given. It appears that these values correspond to the concept of z-scores and their application in the context of a standard normal distribution, particularly in relation to defective cars within a dataset.

Among the listed options of z-values (13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35), and their corresponding x-values, it's clear that the condition z > 10 is a comparison of a z-score rather than the actual z variable in the provided statements. Assuming there's a typo in the statement and it's intended to find the smallest x-value given z-scores, we notice from the examples that smaller z-scores correspond to smaller x-values. Additionally, negative z-scores indicate values to the left of the mean.

Based on the information provided and assuming x represents z-score multiplied by standard deviation plus the mean (x = µ + zσ), and we look at the z-values and their corresponding calculated x-values, x = 1 is the smallest value for both z = ±3 and when z = 19. Therefore, if higher z-values indeed lead to larger x-values, we can conclude that x = 1 is the smallest value related to the context of defective cars.

User Higigig
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