The elevator paused for 10 seconds after you stepped on before beginning to rise at a constant rate of 8 feet per seconds. Propo
2 answers:
Answer:
<h2>Non-proportional.</h2>Step-by-step explanation:
In this situation, the elevator started to move 10 seconds after you stepped on, that means, for 10 seconds, the elevator didn't move at any rate, so the slope of the line that describes this interval is zero, horizontal.
After those 10 seconds, the elevator started to move with a rate of 8 feet per seconds.
So, as you can see, there are two different ratios in the same problem, or in the same graph, that means, this situation is represented by a piecewise function, because there are two differente behaviours with different ratios, that makes the situation non-propotional.
If you graph this problem, there would be an horizontal line at the beginning at and then a proportional line after
, that change makes the situation non-proportional.
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Answer:
Due to the higher z-score, he did better on the SAT.
Step-by-step explanation:
When the distribution is normal, we use 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.
Determine which test the student did better on.
He did better on whichever test he had the higher z-score.
SAT:
Scored 1070, so
SAT scores have a mean of 950 and a standard deviation of 155. This means that .
ACT:
Scored 25, so
ACT scores have a mean of 22 and a standard deviation of 4. This means that
Due to the higher z-score, he did better on the SAT.