Answer:
0.3009 is the probability that the applicant has graduate degree given he is a male.
Step-by-step explanation:
We are given he following in the question:
M: Applicant is male.
G: Applicant have a graduate degree
Total number of applicants = 450
Number of male applicants = 206
![n(M) = 206](https://tex.z-dn.net/?f=n%28M%29%20%3D%20206)
Number of applicants that are male and have a graduate degree = 62
![n(M\cap G) = 62](https://tex.z-dn.net/?f=n%28M%5Ccap%20G%29%20%3D%2062)
![P(M) = \dfrac{206}{450} = 0.4578](https://tex.z-dn.net/?f=P%28M%29%20%3D%20%5Cdfrac%7B206%7D%7B450%7D%20%3D%200.4578)
![P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378](https://tex.z-dn.net/?f=P%28M%5Ccap%20G%29%20%3D%20%5Cdfrac%7Bn%28M%5Ccap%20G%29%7D%7Bn%7D%20%3D%20%5Cdfrac%7B62%7D%7B450%7D%20%3D%200.1378)
We have to find the probability that the applicant has graduate degree given he is a male.
![P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009](https://tex.z-dn.net/?f=P%28G%7CM%29%20%3D%20%5Cdfrac%7BP%28G%5Ccap%20M%29%7D%7BP%28M%29%7D%20%3D%20%5Cdfrac%7B%5Cfrac%7B62%7D%7B450%7D%7D%7B%5Cfrac%7B206%7D%7B450%7D%7D%20%3D%20%5Cdfrac%7B62%7D%7B206%7D%20%3D%200.3009)
Thus, 0.3009 is the probability that the applicant has graduate degree given he is a male.
Answer:
m=-1
Step-by-step explanation:
Since you no what x is you can subst. it into the second equation so 2m+11-9=0 so 2m+2=0 then subtract 2 from both sides 2m=-2 than divide m=-1
Answer:
200
Step-by-step explanation:
20% of the 1,000 people, which is 200 people.
(2 - 6) (1 - 2) An then x the variable. - NOT THE ANSWER
x Is gonna be 2 x 6 x 6 x 3.14 and then x at the end.so it's..... 226.08 then I move the decimal making it 2.26.
x = 2.26
Answer:
<em>Steve has 54 Duos</em>
Step-by-step explanation:
<u>Proportions</u>
It's given three duos (D) is worth as two trios (T), i.e.:
3D = 2T
Steve has 36 trios, that is, 36T. To find the equivalence to duos, we multiply the given relationship by 18:
18*3D = 18*2T
Operating:
54D = 36T
Therefore, 36 trios are equivalent to 54 duos.
Steve has 54 Duos