The correct answer is (5,-7) Hope that helps!
Step-by-step explanation:
I'm not sure what you mean by 'written method' but the sum is 2,654.
Answer:
57.93% probability that a trip will take at least 35 minutes.
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:

What is the probability that a trip will take at least 35 minutes
This probability is 1 subtracted by the pvalue of Z when X = 35. So



has a pvalue of 0.4207
1 - 0.4207 = 0.5793
57.93% probability that a trip will take at least 35 minutes.
9514 1404 393
Answer:
160°
Step-by-step explanation:
The path is a triangle with side lengths 796, 1054, and 411 meters. The turn is opposite the short side. The interior angle of the triangle at that point can be computed using the law of cosines. If we label the sides a, b, c, respectively, then ...
c² = a² + b² - 2ab·cos(C)
C = arccos((a² +b² -c²)/(2ab)) = arccos(1575611/1677968) ≈ 20.116°
The external angle at the buoy is 180° -20° = 160°.
The jet skier's turn was about 160°.