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UNO [17]
2 years ago
13

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-s

haped and has a mean of 61 and a standard deviation of 8. Using the Standard Deviation Rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 53 and 69?
Mathematics
1 answer:
Radda [10]2 years ago
3 0

Answer:

68%

Step-by-step explanation:

The Standard Deviation Rule = Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question,

Step 1

We have to find the number of Standard deviation from the mean. This is represented as x in the formula

μ = Mean = 61

σ = Standard Deviation = 8

For x = 53

μ - xσ

53 = 61 - 8x

8x = 61 - 53

8x = 8

x = 8/8

x = 1

For x = 69

μ + xσ

69 = 61 + 8x

8x = 69 - 61

8x = 8

x = 8/8

x = 1

This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%

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Step-by-step explanation:

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In the figure to the right, AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3 /10 cm. Find the perimeter of the fig
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Answer:

The perimeter of the figure = 9.5 cm

Step-by-step explanation:

<em>Note: You probably missed to add the figure, but after a little research I found and am attaching the figure. I have answered your question based on the reference of that figure. But, I hope you would learn the concept so that you could solve any question based on this concept. So, please check the figure.</em>

<em>Solution:</em>

The perimeter of the figure is the sum of all the sides of the given figure as shown in the attached figure.

So, here is the formula to calculate the perimeter.

                <em>Perimeter </em>=<em> AB + DE + BC + AE + BC  </em>

As AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm

Therefore,

<em>Perimeter</em> = 1 3/4  + 1 1/4  + 13/10 + 1 1/5           ∵ AE + BC = 1 1/5

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                                   = 9.5 cm

So, the perimeter of the figure is = 9.5 cm

Keywords:  perimeter

Learn more about perimeter of polygon from brainly.com/question/13393967

#learnwithBrainly

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