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Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5

Inga [223]

Using the Empirical Rule, it is found that:

a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
b) Approximately 95% of the amounts are between $38.03 and $49.11.
c) Approximately 68% of the amounts fall between $40.73 and $46.27.

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The Empirical Rule states that, in a <em>bell-shaped </em>distribution:

Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.

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Item a:

$43.5 - 3(2.77) = 35.26$

$43.5 + 3(2.77) = 51.88$

Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.

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Item b:

$43.5 - 2(2.77) = 38.03$

$43.5 + 2(2.77) = 49.11$

Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.

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Item c:

68% is within 1 standard deviation of the mean, so:

$43.5 - 2.77 = 40.73$

$43.5 + 2.77 = 46.27$

Approximately 68% of the amounts fall between $40.73 and $46.27.

A similar problem is given at brainly.com/question/15967965

8 0

2 years ago

Read 2 more answers

What is the Area of the circle in pi units if the diameter is 6 cm?

sergejj [24]

The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

<h3>What is the area of the circle?</h3>

The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,

$A=\pi\dfrac{d^2}{4}$

Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.

$d=6$

Put this value in the above formula to find the area of the circle as,

$A=\pi\dfrac{6^2}{4}\\A=\pi\dfrac{36}{4}\\A=\pi\times9\\A=9\pi\rm\; cm$

Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

Learn more about the area of the circle here;

brainly.com/question/402655

#SPJ1

6 0

1 year ago

Read 2 more answers

Find a irrational number between 5.2 and 5.3 .. Explain why its irrational. Include the decimal approximation of thr nearest hun

mihalych1998 [28]

$\sqrt{28}$
It is in between
$\sqrt{25}$
And
$\sqrt{36}$
There for it is in between 5 and 6
Additionally, it is closer to root 25, meaning that it is closer to 5

Rounded to the nearest hundredth is

5.29

4 0

2 years ago

Find the distance between the points A(-6,8) and B(12, -7) by using the distance formula or Pythagorean Theorem.

Leni [432]

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Step-by-step explanation:For which situations is it appropriate to use a sample? Select three options.

What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?