Ahigh school student took two college entrance exams and scored 1120 on the sat and 27 on the act. suppose that sat scores have a mean of 950 and a standard deviation of 140 while the act scores have a mean of 22 and a standard deviation of 4. assuming that the performance on both tests follows a normal distribution, determine which test the student did better on.

We can compare performance by comparing z-scores. The higher z-score indicates better performance relative to others taking the same test. The z-score of a particular test score (x) is ...

... z = (x -μ)/σ

SAT

z = (1120 -950)/140 ≈ 1.21

ACT

z = (27 -22)/4 ≈ 1.25

Summary

Relative to other students taking these tests, the student did better on the ACT.

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17