Enguun earns $17 per hour tutoring student athletes at Brooklyn University. a) If Enguun tutored for 12 hours this month, how mu
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Answer:
Carl's ACT grade had a higher z-score, which means that he earned a better score with respect to his peers on the ACT test.
Step-by-step explanation:
Z-score
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.
On which exam did Carl earn a better score with respect to his peers?
On whichever exam he had the higher z-score.
SAT
Scored 730, mean 516, standard deviation 116. So
ACT
Scored 32, mean 21, standard deviation 5.3. So
Carl's ACT grade had a higher z-score, which means that he earned a better score with respect to his peers on the ACT test.
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes
Domain x is number of hours
Range y is distance traveled
speed = 12 miles per hour
time = 45 minutes = = 0.75 hours
We know distance formula
Distance = speed * time
Distance = 12 * 0.75= 9 miles
Number of hours x is 0 to 0.75 hours
So domain is { }
Distance is 0 to 9 miles
So range is { }