The events are independent. By definition, it means that knowledge about one event does not help you predict the second, and this is the case: even if you knew that you rolled an even number on the first cube, would you be more or less confident about rolling a six on the second? No.
An example in which two events about rolling cubes are dependent could be something like:
Event A: You roll the first cube
Event B: The second cube returns a higher number than the first one.
In this case, knowledge on event A does change you view on event B (and vice versa): if you know that you rolled a 6 on the first cube you don't want to bet on event B, while if you know that you rolled a 1 on the first cube, you're certain that event B will happen.
Conversely, if you know that event B has happened, you are more likely to think that the first cube rolled a small number, and vice versa.
Answer:
x = 20
Step-by-step explanation:
The angles shown are alternate exterior angles.
Alternate exterior angles are congruent
This means that 46 must equal 3x - 14
Note that we've just created an equation that we can use to solve for
We now use the equation to solve for x
3x - 14 = 46
add 14 to both sides
3x - 14 + 14 = 46 + 14
simplify
3x = 60
Divide both sides by 3
3x / 3 = x
60 / 3 = 20
We get that x = 20
Answer:
Jane found multiples of 8.
Jane should have gotten 1, 2, 4, 8 as her answer.
Step-by-step explanation:
Factors : 1,2,4,8.
1*8=8
2*4=8
Answer: g(x) = 3/2 x + 9
Step-by-step explanation:
h(x) = -2/3 x - 1
perpendicular lines always have the opposite sign, reciprocal slope
so, the slope of the perpendicular line would be: m = 3/2
y = mx + b
y = 3/2 x + b
plug in (-4, 3) to find b
3 = 3/2 (-4) + b
3 = -6 + b
b = 9
y = 3/2 x + 9
g(x) = 3/2 x + 9
