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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The mass of substance left after 7 days is 13.09 g
The mass of substance left, N is given by
N = N₀exp(-λt) where λ = decay constant and N₀ = initial mass of substance present = 24 g and t = time
Also, λ = 0.693/t' where t' = half-life of iodine = 8 days
So, λ = 0.693/t'
λ = 0.693/8
λ = 0.086625/day
Since the mass of substance left is N = N₀exp(-λt) and we require the mass of substance after t = 7 days,
N = N₀exp(-λt)
N = 24 gexp(-0.086625/day × 7 days)
N = 24 gexp(-0.606375)
N = 24 g × 0.5453
N = 13.09 g
So, the mass of substance left after 7 days is 13.09 g
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Answer:
x-intercept=(5,0) y-intercept =(0,-6)
Step-by-step explanation:
to find the x-intercept you substitute 0 in for y so the you're left with 6x=30 and you divide it by 6 on both sides leaving you with x=5
To find the y- intercept you set x=0 which leaves you with -5y=30 and you divide both sides by -5 and you're left with y=-6
