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emmasim [6.3K]
3 years ago
12

Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.

Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0

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

Number of applicants that are male and have a graduate degree = 62

n(M\cap G) = 62

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

P(M) = \dfrac{206}{450} = 0.4578

P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378

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

Thus, 0.3009 is the  probability that the applicant has graduate degree given he is a male.

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heather has divided $6300 between two invesments, one paying 9%, the other paying 4%. If the return on her investment is $372, h
Ganezh [65]
Assuming that the two investments are  X & Y
X + Y = 6300
X = 6300 - Y                                       (1)

9/100X + 4/100 Y = 372                       (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400

I hope this is helpful 



6 0
3 years ago
rollercoaster can accommodate 1600 passengers per hour. If you are number 346 in line, how many minutes do you have to wait?
Effectus [21]

Answer:

13.31 minutes  

Step-by-step explanation:

800 in 30min

400 in 15 min

26 passengers in an min

346/26

13.31 minutes  

8 0
3 years ago
C + d = 60<br> 2.5c + 1.75d = 123.75
likoan [24]

Answer:

  (c, d) = (25, 35)

Step-by-step explanation:

Multiply the first equation by 2.5 and subtract the second one:

  2.5(c +d) -(2.5c +1.75d) = 2.5(60) -(123.75)

  0.75d = 26.25 . . . . . . . . . simplify

  26.25/0.75 = d = 35 . . . . divide by the coefficient of d

  60 -d = c = 25 . . . . . . . . . use the first equation to find c

(c, d) = (25, 35)

3 0
3 years ago
Holly has watched 39% of a movie that is 122 minutes long.
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9514 1404 393

Answer:

  48 minutes

Step-by-step explanation:

39% of 122 is ...

  0.39 × 122 = 47.58 ≈ 48

Holly has watched about 48 minutes of the movie.

3 0
3 years ago
Brian is riding his bike. He biked a distance of 14 miles at a rate of 14 miles per hour. Rearrange the distance formula, d = rt
Stells [14]

Answer:

C. 60 minutes

Step-by-step explanation:

if Brian biked 14 miles in 1 hour and 1 hour = 60 minutes then the answer is 60 minutes. hope this helps

5 0
3 years ago
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