Step 1. Substitute y for f(x)
Step 2. Switch x and y.
Step 3. Solve for y.
Step 4. Substitute f(x) for y.
Answer:
r<9
Step-by-step explanation:
r/3 + 5 < 8
Subtract 5 from each side
r/3 + 5-5 < 8-5
r/3 < 3
Multiply each side by 3
r/3 *3 <3*3
r<9
Answer:
2.3% as a decimal is 0.023
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.
Let the line segment BD be x, then sin A = x/15
or, x = 15sinA
Also

The last option