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Anna [14]
3 years ago
15

Plz help! I’m tired and can’t think of the answer!

id="TexFormula1" title=" \frac{24+4x}{10+x}=3 " alt=" \frac{24+4x}{10+x}=3 " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Leokris [45]3 years ago
5 0

\frac{24 + 4x}{10 + x}  = 3 \\  \\ 24 + 4x = 30 + 3x \\  \\ 4x - 3x = 30 - 24 \\  \\ x = 6
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Suppose that 20% of the employees of a given corporation engage in physical exercise activities during the lunch hour. Moreover,
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Answer:

a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

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Step-by-step explanation:

Question a:

20% of employees engage in physical exercise.

This 20% is composed by:

8% of 60%(males)

x% of 100 - 60 = 40%(females).

Then, x is given by:

0.08*0.6 + 0.4x = 0.2

0.4x = 0.2 - 0.08*0.6

x = \frac{0.2 - 0.08*0.6}{0.4}

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Probability of being a female who engages in exercise:

40% are female, 38% of 40% engage in exercise. So

0.38*0.4 = 0.152

0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?

40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So

0.62*0.4 = 0.248

0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

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