The probability that both of them go back to prison is 4.48%.
<h3>
What is probability?</h3>
- Probability is a measure of the likelihood of an event occurring.
- Many events cannot be predicted with total certainty.
- We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
- The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
The state recidivism rate is given by 22%.
So, the probability that both of the prisoners will go back to prison will be:
- = 22% × 22%
- = 0.22 × 0.22
- = 4.84%
Hence, the probability that both of them go back to prison is 4.48%.
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Answer: 10
Step-by-step explanation: 2,000 divided by 200 is 10.
Answer:
B = (3, 5)
Step-by-step explanation:
Point A is at (-7,5) and point C is at (5,-1). Find the coordinates of point B on AC such that AB is 5 times longer than BC. Then, B split AC in a 5:1 ratio.
rise = yC - yA = -1 - 5 = -6
run = xC - xA = 5 - (-7) = 12
c = 5/(5+1) = 5/6
B = (xA + c*run, yA + c*rise)
B = (-7 + 5/6*12, 5 + 5/6*-6)
B = (3, 5)
We have a line passing through 3 points. We can use the first
two points to find the equation of the line.
(6,3), (8,4)
slope m = (4-3)/(8-6) = 1/2
We can use the point slope form y-y1 = m(x-x1) or
the slope intercept form y = mx + b
to find the equation of the line.
Let's take the point (6,3) and use y = mx + b to find b
y = 3, x = 6, m = 1/2
3 = (1/2)(6) + b
3 = 3 + b
0 = b
The equation of our line is y = (1/2)x
We have a line of equation y = (1/2)x going through point (n,-2)
Plugging in we have: -2 = (1/2)n
2(-2) = n
-4 = n
Your answer is n = -4
NOTE: looking at the 3 points as given initially: (6,3), (8,4), (n,-2)
We can see that 3 = (1/2)6 and 4 = (1/2)8 so -2 = (1/2)n makes sense
Hope this helps you :)
It looks like angle FPG = twice angle FHG - which makes sense looking at it now, but I came up with the answer another way - see attached
