Some students are playing a game. They roll a number cube and spin the arrow on a spinner on each turn.
Exhibits
• The number cube has sides numbered 1 through 6.
• The spinner has 3 equal-sized sections colored red (R), yellow (Y), and blue (B).
This tree diagram shows the sample space for the possible outcomes of rolling a
number cube one time and then spinning the arrow on the spinner once. what is the probability that, on a student's turn, the number will land with an even number on the top face and the arrow on the spinner will stop on the blue section?

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a precentage of 6th graders. the population is all 6th graders. let me know if i'm wrong, i hope this ! : )

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the answer would be d.

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move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4

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