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kondaur [170]
3 years ago
7

A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of t

he employees needed corrective shoes, 15% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work
Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0

Answer: 0.206

Step-by-step explanation: the probability of employees that needs corrective shoes are =8%= 8/100 = 0.08

Probability of employees that needs major dental work = 15% = 15/100 = 0.15

Probability of employees that needs both corrective shoes and dental work = 3% = 3/100 = 0.03

The probability that an employee will need either corrective shoes or major dental work = (Probability an employee will need correct shoes and not need dental work) or (probability that an employee will need dental work or not corrective shoes)

Probability of employee not needing corrective shoes = 1 - 0.08 = 0.92

Probability of employee not needing dental work = 1 - 0.15 = 0.85

The probability that an employee will need either corrective shoes or major dental work = (0.08×0.85) + (0.15×0.92) = 0.068 + 0.138 = 0.206 = 20.6%

The probability that an employee will need either corrective shoes or dental work = 0.206.

Please note that the word "either" implies that we must choose one of the two options (corrective shoes or dental work) and not both.

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Step-by-step explanation:

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Find the correct linear equation: y is the quotient of thrice a number and ten.
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The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le
faust18 [17]

Answer:

11 meters

Step-by-step explanation:

Lets say that  w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.  

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.  

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

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Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

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length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

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Answer:

The one u highlighted is correct. C.

Step-by-step explanation:

If u substitute -2 to 2x, it is -4. then substitute the second one -2 to-5y, it is +10. -4+10=6. Then for the second thing. Substitute 1 to 2x which is 2*1=2. Then substitute-4/5 to -5y which is +4. 2+4=6.

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3 years ago
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