In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa
1 answer:
Answer:
b) falls between 18.4 and 31.6 minutes.
Step-by-step explanation:
Problems involving normally distributed samples can be tackled using the z-score formula.
In any set with a mean and standard deviation
, the z-score for a measurement X is calculated as follows:
The Z-score indicates how many standard deviations an observation diverges from the mean. After determining the Z-score, consulting the z-score table provides the associated p-value. This p-value represents the likelihood of observing a measure less than X, i.e., the percentile of X. Subtracting the p-value from 1 yields the probability of observing a measure greater than X.
In this question, we find that:
To cover the Middle 90%
The lower limit is determined as the value of X when Z corresponds to a p-value of 0.5 - 0.9/2 = 0.05.
The upper limit corresponds to the value of X when Z has a p-value of 0.5 + 0.9/2 = 0.95.
Lower limit:
X when Z = -1.645
X when Z = 1.645
Thus, the correct assessment is:
b) between 18.4 and 31.6 minutes.
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After graphing both equations, as illustrated in the attached image.
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<span>In what ways does the graph of g(x)=1/x-5+2 differ from the graph of the parent function f(x)=1/x?
</span>
=================================================
Solution:
========
The given function ⇒
The parent function of the provided function ⇒
After graphing both equations, as illustrated in the attached image.
It can be concluded that
<span>g(x) is translated 5 units to the right and 2 units upwards from f(x).
</span>
Thus, the correct answer is option 2
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