Based on pretrial speculation, the prob that a jury will return a guilty verdict in a certain high-profile murder case is thought to be 15% if the defense can discredit the police department, and 80% if they cannot. Veteran court observers believe that the skilled defense attorneys have a 70% chance of convincing the jury that the police either contaminated or planted some of the key evidence. What is the probability that the jury returns a guilty verdict?

34.5% probability that the jury returns a guilty verdict

Step-by-step explanation:

We have these following probabilities:

The defense attorneys have a 70% chance of convincing the jury that the police either contaminated or planted some of the key evidence.

In this case, there is a 15% probability that the jury will return a guilty verdict.

There is also a 100 - 70 = 30% of not convincing the jury that the police either contaminated or planted some of the key evidence.

In this case, 80% probability of the jury returning a guilty verdict.

What is the probability that the jury returns a guilty verdict?

15% of 70% and 80% of 30%. So

34.5% probability that the jury returns a guilty verdict

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15