A basketball coach kept stats for his team in free throw percentage and steals (among others). At the last game, Erin's free throw percentage was 79% and she had 4 steals. The team averaged 87% from the free throw line with a standard deviation of 12 and they averaged 7 steals with a standard deviation of 3. In which category did Erin do better compared with her team

Due to the higher z-score, she did better in the free throw category.

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.

In this question:

She did better in the category that she had the higher z-score:

Free-throws:

Her free throw percentage was 79%, which means that

The team averaged 87% from the free throw line with a standard deviation of 12, which means that . So

Steals:

She had 4 steals, which means that

Averaged 7 steals with a standard deviation of 3, which means that . So

Due to the higher z-score, she did better in the free throw category.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225