Answer:
118.3 m²
Step-by-step explanation:
Step 1. Calculate the <em>semiperimeter</em> (s).
s = (p + q + r)/2
s = (17 + 18+ 15)/2
s = 50/2
s = 25 m
===============
Step 2. Calculate the <em>area</em> (A).
Use <em>Heron’s formula</em>:
A = 118.3 m²
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2 answers:
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Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that
So
Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that . So
Rachel's z-score was of 0.81.