100% A random sample of students were asked whether they preferred to sweep the floor or to do the dishes, and whether they preferred to hear music
or have silence while doing the chore. The results of the survey are summarized in the table.
Sweep Dishes Total
36 60 96
Music
Silence
42
62
104
Total
78
122
200
What is the probability that a student prefers to do the chore in silence?
O A. 0.21
OB. 0.31
O c. 0.39
OD. 0.42
O E. 0.52

OE , 77 200 OD 788, OA 42 104

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.