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Answer:
the probability of getting exactly 2 fours is 0.16
Step-by-step explanation:
The probability of obtaining a number that is four = ¹/₆
The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆
The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways
If the die is tossed five times, the probability of the events is calculated as;
P = 10 x (¹/₆)² x (⁵/₆)³
P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)
P = 10 x 0.02778 x 0.5787
P = 0.16
Therefore, the probability of getting exactly 2 fours is 0.16
Answer:
Step-by-step explanation:
Well,
If the slope of the lines are the same, then the lines are parralel.
We need to manipulate 2y - 10x = 4 into y = mx + b form.
Add 10x to both sides
2y = 10x + 4
Divide both sides by 2
y = 5x + 2
Do the same thing with the other equation.
Add 2 to both sides
y = 5x + 2
y = 5x + 2
It appears that, not only are they parallel, but they lie on exactly the same line! If this was a System of Simultaneous Linear Equations, then there would be an infinite number of solutions!<span />
Answer:

Step-by-step explanation:
Let's re-write the equations in order to get the variables as separated in independent terms as possible \:
First equation:

Second equation:

Third equation:

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

Now we use this value for "x" back in equation 1 to solve for "y":

And finally we solve for the third unknown "z":
