100 POINTS PLEASE HELP ME!!
1 answer:
3)
check the picture below.
bearing in mind that the point of tangency, the green one there, is always a right-angle, then we get that much for the distance AB.
since the satellite can emit a signal at a speed of 186,000 miles/second, how long will it be to cover AB? well, it'll just be AB/186000, which is about 0.1381 seconds.
and how long will it be to cover the distance AE? well, it'll just be AE/186000, which is about 0.11828 seconds.
of course is quicker to AE since it's closer, so the difference for both distances will be AB - AE, which is about 0.01984121052328095721 seconds.
4)
if the satellite makes a revolution, or 2π, in 24 hours, and we know the satallite is orbiting at 22000+4000 or 26000 miles from the center of the Earth, thus its circular orbit has a radius of 26000, how many miles is that?
well, Circumference of a circle is C = 2πr, if r = 26000, then C = 2π(26000), so on those 24 hours it has covered 52000π miles.
how fast must it travel then?
now if you need the rate in miles/seconds, bear in mind that an hour has 60 minutes and each minute 60 seconds, thus and hour has 60*60 seconds or 3600, thus its speed in miles/seconds will be 52000π/3600.
check the picture below.
bearing in mind that the point of tangency, the green one there, is always a right-angle, then we get that much for the distance AB.
since the satellite can emit a signal at a speed of 186,000 miles/second, how long will it be to cover AB? well, it'll just be AB/186000, which is about 0.1381 seconds.
and how long will it be to cover the distance AE? well, it'll just be AE/186000, which is about 0.11828 seconds.
of course is quicker to AE since it's closer, so the difference for both distances will be AB - AE, which is about 0.01984121052328095721 seconds.
4)
if the satellite makes a revolution, or 2π, in 24 hours, and we know the satallite is orbiting at 22000+4000 or 26000 miles from the center of the Earth, thus its circular orbit has a radius of 26000, how many miles is that?
well, Circumference of a circle is C = 2πr, if r = 26000, then C = 2π(26000), so on those 24 hours it has covered 52000π miles.
how fast must it travel then?
now if you need the rate in miles/seconds, bear in mind that an hour has 60 minutes and each minute 60 seconds, thus and hour has 60*60 seconds or 3600, thus its speed in miles/seconds will be 52000π/3600.
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Answer:
a) The percentage of athletes whose GPA more than 1.665 is 87.49%.
b) John's GPA is 3.645.
Step-by-step explanation:
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:
a)Find the percentage of athletes whose GPA more than 1.665.
This is 1 subtracted by the pvalue of Z when X = 1.665. So
has a pvalue of 0.1251
1 - 0.1251 = 0.8749
The percentage of athletes whose GPA more than 1.665 is 87.49%.
b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.
His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.
John's GPA is 3.645.