Suppose you spin two spinners each equally divided into four sectors numbered 1, 2, 3 and 4. which graph shows the probability distribution for the sum of the numbers?

Graph option d

Step-by-step explanation:

There are 16 possible results:

Spinner 1      Spinner 2      Sum of the numbers

     1                     1                           2

     1                     2                          3

     1                     3                          4

     1                     4                          5

     2                     1                          3

     2                     2                         4

     2                     3                         5

     2                     4                         6

     3                     1                          4

     3                     2                         5

     3                     3                         6

     3                     4                         7

     4                     1                          5

     4                     2                         6

     4                     3                         7

     4                     4                         8

Sum of the numbers: S

P(S=2)=1/16

P(S=3)=2/16

P(S=4)=3/16

P(S=5)=4/16

P(S=6)=3/16

P(S=7)=2/16

P(S=8)=1/16

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns