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podryga [215]
4 years ago
6

Could someone please help me?? I am really stuck! I appreciate it! Thank you so much! God Bless!

Mathematics
1 answer:
IgorLugansk [536]4 years ago
4 0
LINEAR \: \: EQUATIONS \: \: IN \: \: ONE \: \\ VARIABLE \\ \\ \\\\Given \: \: expression \: \: - \\ \\ 5 - \frac{x}{4} = \frac{3(x + 1)}{9} \\ \\ 5 - \frac{x}{4} = \frac{(x + 1)}{3} \\ \\ 5 - \frac{x}{4} = \frac{x}{3} + \frac{1}{3} \\ \\ 5 - \frac{1}{3} = \frac{x}{3} + \frac{x}{4} \\ \\ \frac{14}{3} = \frac{4x + 3x}{12} \\ \\ \frac{14}{3} = \frac{7x}{12} \\ \\ x = \frac{14}{3} \times \frac{12}{7} \\ \\ || \: \: x = 8 \: \: || \: \: \: \: \: \: \: \: Ans.
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Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.
xxMikexx [17]

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

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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}}

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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.

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

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