Tyrone claims that the first step to simplify this expression is to raise the numerator and denominator to the third power. Alis
2 answers:
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Solution: X=6
Detailed explanation:
In this problem we're asked to find "x" or the unknown.
The first step is to subtract 11x from both sides.
Next, subtract 79 from both sides.
To finish this off, divide both sides by -11.
Voila! There's our answer!
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Answer:
Top 3%: 4.934 cm
Bottom 3%: 4.746 cm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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 problem, we have that:
Top 3%
Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.
Bottom 3%
Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.