Answer:
x = 10.9
Step-by-step explanation:
Since the triangle is right, use the tangent ratio to find the value of x
tan36° = =
=
Multiply both sides by 15
15 × tan36° = x
⇒ x = 10.9 ( to nearest tenth )
Determine the area of the triangle.
1 answer:
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Answer: 92.67
Step-by-step explanation:
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Answer:
The observation would be considered unusual because it is farther than three standard deviations from the mean.
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.
When Z has an absolute value higher than 2, the observation is considered unusual.
In this problem, we have that:
So the correct answer is:
The observation would be considered unusual because it is farther than three standard deviations from the mean.