The rolls of the dice are independent, i.e. the outcome of the second die doesn't depend in any way on the outcome of the first die.
In cases like this, the probability of two events happening one after the other is the multiplication of the probabilities of the two events.
So, the probability of rolling two 6s is the multiplication of the probabilities of rolling a six with the first die, and another six with the second:
Similarly,
Actually, you can see that the probability of rolling any ordered couple is always 1/36, since the probability of rolling any number on both dice is 1/6:
Answer:
multiply 31.4x7.9 then add 9.5 to the answer to multiplication prob. Then add your answer in the first sentence. Then multiply 4.6 x 2 . I think that right,good luck : ) luck.
Answer:
x = 2, y = -1.
Step-by-step explanation:
2x + y = 3
x - y = 3
Adding the 2 equations eliminates y:
3x = 6
x = 2.
Substitute for x in the first equation:
2(2) + y = 3
y = 3 - 4
y = -1.
Check the results by substitution in equation 2:
2 - (-1)
= 2 + 1 = 3 .
Checks OK.
Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:
And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:
So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :
So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:
