The probability of first number cube shows a five and the other number cube shows an even number is
.
Solution:
Two cubes are rolled sequentially.
Sample space when two dies are rolled

Number of sample space = 36
Even numbers getting when two cubes rolled are 2, 4, 6.
First number cube shows a five and the other number cube shows an even number = {(5, 2), (5, 4), (5 6)}
Number of first number cube shows a five and the other number cube shows an even number = 3
Probability of first number cube shows a five and the other number cube shows an even number



Hence, the probability of first number cube shows a five and the other number cube shows an even number is
.
Answer:
25 meters
Step-by-step explanation:
Imagine a segment extending vertically down from the left tree to the right tree.
That would make the segment be 25-10, or 15.
Then, we have a right triangle and we can solve for the hypotenuse, which is the length of the rope. (The bottom of the triangle is 20, and the leg is 15.)
We can use the pythag theorem: 15^2+20^2=c^2
c^2=225+400
c^2=625
c=25
Therefore, 25 meters
I hope the helped! If you have any further questions or concerns, please feel free to comment them below!
X and Y both represent the position on a graph. So, to find the X- or Y- intercepts, simply set the other value to zero. (After all, the x-intercept is when y is zero, and vice versa.)
So for X...
2/3x-1/3(0)=2
2/3x=2
/(2/3)
x=3
So the X-intercept is at (3,0).
Now, the y-intercept.
2/3(0)-1/3y=2
-1/3y=2
/(-1/3)
y=-6
So the Y-intercept is at (0,-6).