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oee [108]
3 years ago
7

An HR director numbered employees 1 through 50 for an extra vacation day contest. What is the probability that the HR director w

ill select an employee who is not a multiple of 13?
Give your answer as a fraction.​
Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer:

The probability that the HR director will select an employee who is not a multiple of 13 is \frac{47}{50}

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- The probability of an event is the measure of the chance that the

  event will occur

- The probability of an event A is the number of ways that event A can

 occur divided by the total number of possible outcomes

- If P(A) is the probability of event A,  is the probability that the event A

 does not occur is 1 - P(A)

* <em>Lets solve the problem</em>

- An HR director numbered employees 1 through 50 for an extra

 vacation day contest

∴ There are 50 employees

- The HR director will select an employee

- We need to find the probability of select an employees who is not

 multiple of 13

* At first lets find the multiples of 13

∵ 13 × 1 = 13

∵ 13 × 2 = 26

∵ 13 × 3 = 39

∴ The multiples of 13 from 1 to 50 are 13 , 26 , 39

∵ There are 3 multiples of 13

∵ There are 50 numbers

∵ Probability of multiple of 13 = \frac{3}{50}

∵ Probability of not multiple of 13 = 1 - P(multiple of 13)

∴ Probability of not multiple of 13 = 1-\frac{3}{50}

∴ Probability of not multiple of 13 = \frac{47}{50}

* The probability that the HR director will select an employee who is

  not a multiple of 13 is \frac{47}{50}

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Step-by-step explanation:

It is given that,

Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.

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Let x be the efficiency to fill the swimming pool by larger hose

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<u>To find LCM of 20 and 30</u>

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and y be the efficiency to fill the swimming pool by larger hose

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The rectangular floor of a storage shed has an area of 580 square feet. The length of the floor is 9 feet more than its width (s
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Answer:

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Step-by-step explanation:

Assuming the dimensions are integer numbers of feet, you're looking for factors of 580 that have a difference of 9.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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