Professor Simpson is interested if time spent studying is affected by the color of a room. She randomly assigns her students into four groups and has each group study in a room that has been painted a different color (red, yellow, green, or white). Professor Simpson then measures the number of minutes that each group spends studying. What is the independent and dependent variable in this study?
The color of the rooms

The number of minutes each group spends studying

The average score each group gets on their first exam

The age and gender of the students in each group

IV: colour of the room

DV: The number of minutes each group spends studying

Step-by-step explanation:

IV(Independent Variable) : is what is changed in the experiment and the colour of the room is being changed.

DV(Dependent Variable) : is what is measured in the experiment and the number of minutes in spent on studying is measured.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,