In history, you earned an exam score of x-85 where the exam average was μ-65 with a standard deviation of σ-5. in biology, you earned an exam score of x-90 where the exam average was μ י 85 with a standard deviation of σ-10. in which class did you score better compared to your classmates?

a. biology
b. no answer text provided.
c. you did equally well in both classes.
d. history

D. History

Step-by-step explanation:

To answer this question, we need to use the z-score formula written below:

Now we'll just plug in the numbers and solve.

History:

Biology:

As we can see, history wields a higher z-score than biology, thus leaving us with option D. History

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: