Newberg is 8 kilometers due north of the airport, and summer field is 15 kilometers due east of the airport. How far apart are n
1 answer:
Answer:
The correct answer is 17 kilometers.
Step-by-step explanation:
Let A denote the point where the airport is located.
Newberg is located 8 kilometers due north of airport say at point B.
Summer field is located 15 kilometers due east of the airport say at point C.
Thus ABC is the required right angled triangle with sides AB = 8; AC = 15; and ∠A = 90°.
Thus we use Pythagoras theorem to find the value of the side BC which indeed would give us the distance between Newberg and Summer field.
∴ =
=
= 17 kilometers.
Thus the distance between Newberg and Summer field is 17 Kilometers.
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Answer:
At least 202.44 mm in the top 15%.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
How many yearly mm of rainfall would there be in the top 15%?
At least X mm.
X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.
At least 202.44 mm in the top 15%.