HELP PLEASE!!

Consider the roll of a six-sided die. Choose all that are correct.

probability of an even number is
1
2
probability of a 1 or 5 is
1
3
probability of a number less than 3 is
1
2
probability of a 2 or an odd number is
2
3

#1

#2

#4

Step-by-step explanation:

even numbers are 3

3/6=1/2

1/2=1/2

1 or 5=2 numbers

2/6=1/3

1/3=1/3

numbers < 3 are 1 and 2

2 numbers

2/6=1/3

1/3 does not =1/2

2 or odd numbers are 2,1,3,5

4/6=2/3

2/3=2/3

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

a. she will receive a refund of $278.

step-by-step explanation: