A six-sided number cube numbered 1 through 6 is rolled 2 times. What is the probability of getting an even number on both rolls?

1/4 OR 0.25

Step-by-step explanation:

The probability for rolling any even number on that six sided cube is 1/2. (2, 4, 6).

Therefore,

(Probabilty of choosing an even number) • (Probabilty of choosing an even number) = (Probabilty of choosing an even number twice)  

1/2 • 1/2 = 1/4

This can also be proven by doing a probability table wich takes 10 times longer than this quick equation. Any problems you have that follow this wording should be solved by using an equation like the one above.

NOTE: If the problem stated “what is the probability of getting an even number the first roll and a different even number on the second roll?” this would be solved as so:

1/2 • 1/3 = 1/6

This is because after one even number is chosen, the probabilty of choosing an even number drops by 1/6, which causes the probability for choosing any even number to change to 1/3.

a

step-by-step explanation:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!