Determine if the figures are similar,
Yes
No
Δ QRS ~ Δ TUV
Δ QRS ~ Δ XYZ
ΔΧΥΖ ~ Δ LMN
ΔLMN ~ ΔTUV

They are all similar

Step-by-step explanation:

because they are all right triangles

Ron's ERA has a z-score of -2.03.

Karla's ERA has a z-score of -1.86.

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

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:

Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.

Ron

ERA of 3.06, so

For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that

So

Ron's ERA has a z-score of -2.03.

Karla

ERA of 3.28, so

For  the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that

So

Karla's ERA has a z-score of -1.86.

Which player had the better year relative to their peers, Ron or Karla?

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.