Answer:
3x - 12 is an expression equivalent to 3(x - 4)
Explanation:
Another way to write this expression is to simplify it. To simplify the given expression, multiply the number three by the x and negative four inside the parentheses.
3(x - 4)
3x - 12
Therefore, 3x - 12 is the simplified version of the expression 3(x - 4). In other words, 3x - 12 is an expression equivalent to 3(x - 4).
You will use trig. Try the phrase “SohCahToa” you will use “Soh” meaning Sin is opposite over hypotenuse. So in this instance, it would be sin(x)=8/11. You will need to take the inverse sine to figure out x. So, x= sin^-1(8/11) which turns out to be approximately 46.65°
Answer:
a) 2.9%
b) Option B is correct.
The prisoners must be independent with regard to recidivism.
Step-by-step explanation:
Probability that one prisoner goes back to prison = 17% = 0.17
a) The probability that two prisoners released both go back to prison = 0.17 × 0.17 = 0.0289 = 2.89% = 2.9% to 1 d.p
b) The only assumption taken during the calculation is that probability of one of the prisoners going back to prison has no effect whatsoever in the probability that another prisoner goes back to prison. That is the probability that theses two events occur are totally independent of each other.
If they weren't, we wouldn't be able to use 0.17 as the probability that the other prisoner goes back to prison too.