Answer:
1/216
Step-by-step explanation:
When a pair of dice is rolled, there are 36 possible different outcomes.
Of those 36 different outcomes, a sum of 3 is obtained in 2 different ways: 1, 2 and 2, 1.
Of those 36 different outcomes, a sum of 10 is possible in 3 different ways: 6, 4; 5, 5; 4, 6.
p(3 followed by 10) = p(3) * p(10) = 2/36 * 3/36 = 1/18 * 1/12 = 1/216
Answer:
x = -9, y =3
Step-by-step explanation:
x + 2y = -3
x - y = -12
Subtract to two equations to eliminate x
x + 2y = -3
-x + y = 12
---------------------
3y = 9
Divide each side by 3
3y/3 = 9/3
y = 3
Now we can find x
x-y =-12
x - 3 = -12
Add 3 to each side
x-3+3 = -12+3
x = -9
This expression is in the form of a quadratic
X/32= 25/100
100x, 800
800 divided by 100= 8
X = 8 games
[] signs mean that the number is included in the domain and () mean that the number is not included. Now,
1. [-1,5)
Because x is greater than or equal to -1 (included) but less than 5 (excluded
2. [-5,13)
When we plug in x = -1, we get the minimum value of -5, which is included because its x-value was included. The, we plug in x = 5 to find the range's maximum and this is excluded because its x-value was excluded.
3. 218
x = 6 lies in the domain of the first function so we will use it to evaluate the value of x = 6. We do this by simply substituting x into the function.
4. 12
x = 9 is included in the domain of the second function and the value of the second function at all points is 12.
5. 103
x = 10 is included in the domain of the second function so we will use it to evaluate the value of x = 10. This is done by substituting x into the equation.
