You need to multiply the number (x) by 4 then add 3
Answer:
B.p^15/q^9
Step-by-step explanation:
p(p^-7•q^3)^-2•q^-3
answer: B. p^15/q^9
(6x-18)(x+4)/(3x-9)=6(x-3)(x+4)/3(x-3)=2(x+4)=2x+8
Part a: what you have to do is add up all of the vehicles and you get 150. Then it says "approximate probability of a passenger car..." so you would take the number of passenger cars (which is 112) and put that number over 150. 112/150. you would get 0.746666666667 and round that up and you would get 75% (B)
Part b: you do the same thing but change the passenger car number into light truck number. (which is 18) 18/150 0.12 which is 12% (B)
Answer:
0.1729 = 17.29% probability that a randomly chosen mathematics degree was a master's degree given that it was awarded to a woman
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Given to a woman.
Event B: Masters degree.
21% were master’s degrees
This means that ![P(B) = 0.21](https://tex.z-dn.net/?f=P%28B%29%20%3D%200.21)
Women earned 40% of masters
This means that ![P(A|B) = 0.4](https://tex.z-dn.net/?f=P%28A%7CB%29%20%3D%200.4)
Probability of the degree being given to a women:
52% of 76%, 40% of 21% and 22% of 3%. So
![P(A) = 0.52*0.76 + 0.4*0.21 + 0.22*0.03 = 0.4858](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.52%2A0.76%20%2B%200.4%2A0.21%20%2B%200.22%2A0.03%20%3D%200.4858)
What is the probability that a randomly chosen mathematics degree was a master's degree given that it was awarded to a woman?
0.1729 = 17.29% probability that a randomly chosen mathematics degree was a master's degree given that it was awarded to a woman