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Komok [63]
3 years ago
15

uppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.2 and a standard deviation of 1.49. Us

ing the empirical rule, what percentage of American women have shoe sizes that are less than 12.67
Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Answer:

99.85% of American women have shoe sizes that are less than 12.67

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.2

Standard deviation = 1.49

Using the empirical rule, what percentage of American women have shoe sizes that are less than 12.67

12.67 = 8.2 + 3*1.49

12.67 is 3 standard deviations above the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above. Of those 50% above, 99.7% are between the mean and 12.67. So

0.5 + 0.997*0.5 = 0.9985

99.85% of American women have shoe sizes that are less than 12.67

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RSB [31]

Answer:

6

Step-by-step explanation:

1.8 divided by 0.3 = 6

6 x 0.3 = 1.8

5 0
2 years ago
What is the volume of a cylindrical bucket that is 35 cm tall and has a base with a diameter of 21 cm? Use pi= 22/7 and round yo
Natali [406]
The volume of a cylinder is given by the multiplication of the area of the base by the height of the cylinder.  π×r²(area of the base) × h (height of the cylinder) ⇔
\frac{22}{7}×(\frac{21}{2} )^{2}cm²×35cm=12127.5cm³
(r is half of the diameter. Because we are doing the square of r, the cm also are squared.)
Rounding to the nearest tenth is to round the result so that it maintains a number after the point - the result is 12127.5cm³
6 0
2 years ago
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A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide what is the area of the pool
Lilit [14]
Area=l*b = 379.16feet^2
8 0
3 years ago
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tiff basic insurance cost is $613.50 per year. His insurance company offers a typical "safe-driver discount." What would be his
forsale [732]

The rate if he went three years without an accident based on the information about the insurance is $552.15.

<h3>How to calculate the insurance?</h3>

From the information given, his basic insurance cost is $613.50 per year and his insurance company offers a typical "safe-driver discount.

The amount will be:

= 613.50 - (20.45 × 3)

= 552.15

In conclusion, the rate is $552.15.

Learn more about insurance on:

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5 0
2 years ago
I am literally so confused please help (i highlighted the triangle by mistake)
sashaice [31]

The total area = 850 sq ft

The sub area of the square = 100 sq ft and the trapezoid = 750 sq ft.

Step-by-step explanation:

Given:

The diagram consist of two figure, a trapezoid ( green border)

To find:

The total area.

Formula

The area of square = side × side sq unit

The area of trapezoid = sum of the parallel sides × height

Now,

The area of square = 10 × 10 sq unit = 100 sq ft

The area of trapezoid  = (10 + 20) × 25 sq unit

                                     = 750 sq ft

So, the total area can be given as  = 100 + 750 sq ft

                                                          = 850 sq ft

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3 years ago
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