In 20112, it rained 1.651 x 103 centimeters in New Orleans. In 2012 it rained another 8.2 x 102 centimeters. How many centimeter
1 answer:
You might be interested in
Answer:
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.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when . So
Also, when X = 14, Z has a pvalue of 0.925, so when
Replacing in the first equation
Standard deviation:
Answer:
The ship travels approximately 10.261 meters to the East.
Step-by-step explanation:
At first we introduce a graphical description of the statement as an attachment below. Let suppose that bearing is respect to the North-direction, then the change in position in the East direction is modelled by the following Trigonometric formula:
(1)
Where:
- Distance travelled by the ship, measured in kilometers.
- Bearing angle, measured in sexagesimal degrees.
- Distance component in the east direction, measured in kilometers.
If we know that and
, then the distance in the East direction is:
The ship travels approximately 10.261 meters to the East.
