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1 answer:
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Answer:
0.8749
Step-by-step explanation:
Problems of normally distributed samples 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.
In this problem, we have that:
The probability that Z is less than 1.15 is:
This is the pvalue of Z = 1.15, which is 0.8749.
The speed of plane 1 will be 300 miles/sec and that of plane 2 will be 600 miles/sec.
We have two planes flying in opposite directions to each other.
We have to determine how fast was the each plane flying.
<h3>What is the formula to calculate the distance covered by the object moving with speed - x m/s in time - t s ?</h3>The formula to calculate the distance travelled will be -
distance = speed x time = (t) meters
According to the question -
Let us assume that the speed of plane 1 = v miles/sec.
Then, the speed of plane 2 will be = 2v miles/sec.
Distance covered by plane 1 in 3 hours will be = 3v miles.
Distance covered by plane 2 in 3 hours will be = 3 x (2v) miles = 6v miles.
Since they are 2700 miles apart after three hours, therefore -
3v + 6v = 2700
9v = 2700
v = 300 miles/sec
Hence, the speed of plane 1 will be 300 miles/sec and that of plane 2 will be = 2v = 2 x 300 = 600 miles/sec.
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