What is the mode of 5,12,11,5,6,19,5,7,8,6,5,11,8

Mode is 5

Step-by-step explanation:

5,5,5,5,6,6,7,8,8,11,11,12,19

5 - 4

6 - 2

7 - 1

8 - 2

11 - 2

12 - 1

19 - 1

⇒ Mode = 5

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.