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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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malfutka [58]
3.73494 x 10^9

I hope this helps you out Heyimnessa.
3 0
3 years ago
An economist uses the price of a gallon of milk as a measure of inflation. She finds that the average price is $3.82 per gallon
salantis [7]

Answer:

(a) The standard error of the mean in this experiment is $0.052.

(b) The probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c) The probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d) The likelihood that the sample mean is greater than $3.92 is 0.9726.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample mean is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

The information provided is:

n=40\\\mu=\$3.82\\\sigma=\$0.33

As <em>n</em> = 40 > 30, the distribution of sample mean is \bar X\sim N(3.82,\ 0.052^{2}).

(a)

The standard error is the standard deviation of the sampling distribution of sample mean.

Compute the standard deviation of the sampling distribution of sample mean as follows:

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

    =\frac{0.33}{\sqrt{40}}\\\\=0.052178\\\\\approx 0.052

Thus, the standard error of the mean in this experiment is $0.052.

(b)

Compute the probability that the sample mean is between $3.78 and $3.86 as follows:

P(3.78

                               =P(-0.77

Thus, the probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c)

If the difference between the sample mean and the population mean is less than $0.01 then:

\bar X-\mu_{\bar x}

Compute the value of P(\bar X as follows:

P(\bar X

                    =P(Z

Thus, the probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d)

Compute the probability that the sample mean is greater than $3.92 as follows:

P(\bar X>3.92)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{3.92-3.82}{0.052})

                    =P(Z

Thus, the likelihood that the sample mean is greater than $3.92 is 0.9726.

3 0
3 years ago
A particle decays at a rate of 0.45% annually. assume and initial amount of 300 mg. (
raketka [301]
The increase is an exponential increase in a multiplier
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Final Value = Initial Value × multiplier^{number of years}
Final value = 300(1.0045)^{60}
Final value = 393 mg (to the nearest whole number)

Half life = 0.5 years
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3 years ago
If cos 0 =8/17, what is sin 0?
ipn [44]

Answer:

sin=15/17

Step-by-step explanation:

Use the definition of sine to find the value of

sin (0)

sin (0) = opp/hyp

THEN

Substitute in the known values.

sin (0) = 15/17

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2 years ago
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Maslowich

The graph that represents viable values for y = 2x is Option A.

<h3>What is a Straight Line Function ?</h3>

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The given equation is y = 2x

here m  = 2

x is the number of pounds of rice scooped and purchased from a bulk bin

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Therefore , The graph that represents viable values for y = 2x is Option A.

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