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Answer:
The probability of the defendant is innocent given the defendant is convicted is P=0.006.
Step-by-step explanation:
Being:
G: guilty, I:innocent, C: convicted, A: acquitted.
We need to calculate P(I|C).
Being innocent, given convicted, is equal to the probability of being innocent and convicted divided by the probability of being convicted (innocent or guilty)
The probability of being innocent and convicted is
The probability of being convicted is equal to the sum of P(I&C) and P(G&C)
Then,
Answer: Choice A)
Work Shown:
Use the distance formula
Points are (x1,y1) = (-4,3) and (x2,y2) = (-7,-2)
d = distance between the two points
Extra info:
Given:
Friend pays 4 pennies for the first job and he quadruples the payment for each job completed.
To Find:
Find and solve the equation that finds the number of pennies you will get paid after the 9th dog grooming job.
Answer:
The number of pennies that he would pay after the 9th job is 262144.
Step-by-step explanation:
We begin wwith the payment for 1 job which is 4 pennies.
We see that the payment for 2 jobs is quadrupled. Which means the payment comes out to be 4 x 4 = 16 pennies.
For the 3rd job, the payment is further quadrupled. So it is
4 x 4 x 4 = 16 x 4 = 64 pennies
We see that for each successive job, we must multiply by 4 to the payment for the previous job. In other words, for the 4th job, payment is
4 x 4 x 4 x 4 pennies,
for the 5th job, payment is
4 x 4 x 4 x 4 x 4 pennies
and so on.
So, for 'n' jobs, the payment will be 4 x 4 x 4 x ... x 4 (n times)
We can rewrite the above as the expression
Thus, the number of pennies paid for completing 'n' jobs, where n can be any natural number is
For the payment after the 9th job, n = 9. So,
Therefore the number of pennies that he would pay after the 9th job is 262144.