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sladkih [1.3K]
2 years ago
8

A plane traveled 2464 miles to San Francisco from Boston. With the wind to San Francisco, it took 14 hours. Into the wind from S

an Francisco, back to Boston, the same trip took 16 hours. How fast is the plane traveling when there is no wind? What is the wind speed?
Mathematics
1 answer:
lesya [120]2 years ago
6 0

Step-by-step answer:

Given:

Distance = 2464 miles

downwind time = 14 hours

upwind time  = 16 hours

Solution:

downwind speed  = 2464 / 14 = 176 mph

upwind speed = 2464 / 16 = 154 mph

Average speed = still air speed

= (176+154)/2

= 330/2

= 165 mph

Time required

= 2464 / 165

= 14.933 hours

= 14 hours 56 minutes.

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The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

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Therefore, P(70 < X < 85) = 0.89435 - 0.26435 = 0.63 or 63%

<em>Hence, 63% of the values lies between 70 and 85.</em>

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