For the mathematics part of the sat the mean is 514 with a standard deviation of 113, and for the mathematics part of the act the mean is 20.6 with a standard deviation of 5.1. bob scores a 660 on the sat and a 27 on the act. use z-scores to determine on which test he performed better.

Bob performed better in mathematics part of the SAT than the ACT

Step-by-step explanation:

We need to calculate the z-scores for both parts and compare them.

Z-score for the SAT is calculated using the formula:

where is the mean and is the standard deviation, and is the SAT test score.

We plug in these values to obtain:

to the nearest hundredth.

We use the same formula to calculate the z-score for the ACT too.

Where is the mean and is the standard deviation, and is the ACT test score.

We substitute the values to get:

to the nearest hundredth.

Since 1.29 > 1.25, Bob performed better in mathematics part of the SAT

2425

step-by-step explanation:

a reflection across the x axis and a 90 degree rotation left and right.