Answer:
(a) The probability of getting someone who was not sent to prison is 0.55.
(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.
Step-by-step explanation:
We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.
Let the probability that subjects studied were sent to prison = P(A) = 0.45
Let G = event that subject chose to plead guilty
So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40
and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55
(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison
P(A') = 1 - P(A)
= 1 - 0.45 = 0.55
(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)
We will use Bayes' Theorem here to calculate the above probability;
P(A'/G) =
=
=
= <u>0.63</u>
Answer: probly like 90 miles per hour
Step-by-step explanation:
Step-by-step explanation:
P varies directly as the cubic root of Q means that:
, where x is a real constant number.
Which means that:
for q ≠0.
So we get that for q=8,p=4 which means:
As a result we get that for Q=64:
So for q=64,p=8.
We have to make 2 equations
A = Adults C= Children
So: A + C = 1300
15A + 10C = 17250
We can solve for A and C in 2 ways, SUBSTITUTION or ELIMINATION
I'll do substitution
SUBSTITUTION: Subtract A from both sides
A + C = 1300
-A -A
C = 1300 - A
Plug C is to the 2nd equation
15A + 10(1300 - A) = 17,250
15A + 13,000 - 10A = 17,250
5A + 13,000 = 17,250
- 13,000 -13,000
5A = 4250
---- ---------
5 5
A= 850
So, there are 850 adults, subtract 850 from 1,300 and there 450 children
Answer: 850 adults
450 children
Answer:
4 gallons.
Step-by-step explanation:
You need to gallons for every 3 inch fish. If you do 4 plus 2 (the length of your fishes) you get 6. 6 divided by 3 is 2. So, you have to 3 inches. You need 2 gallons for every 3 inches. 2 times 2 is 4. Therefore, you need 4 gallons of water.