The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l
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Answer:
The speed of the private airplane is 770 mph, the speed of the commercial airplane is 980 mph.
Step-by-step explanation:
Let x mph be the speed of private airplane. If the speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane, then the speed of commercial airplane is (x+210) mph.
It takes the commercial jet 1.1 hours for the flight, then it covered the distance of
It takes the private airplane 1.8 hours for the flight, then it covered the distance of
The distances are the same, so
The speed of the private airplane is 770 mph, the speed of the commercial airplane is 770 + 210 = 980 mph.
Answer:
The first quartile of the strengths of this alloy is 9.055 GPa.
Step-by-step explanation:
Problems of normal distributions can be 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.
The strength of an aluminum alloy is normally distributed with mean 10 gigapascals (GPa) and standard deviation 1.4 GPa.
This means that
What is the first [lower] quartile of the strengths of this alloy?
This is the 100/4 = 25th percentile, which is X when Z has a pvalue of 0.25, so X when Z = -0.675.
The first quartile of the strengths of this alloy is 9.055 GPa.