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Liula [17]
3 years ago
12

In 2004 a football team scored 27, 19, 12, 20, 20, 26, 23, 29, 20, 17, 61, 30, and 31 points in their first 13 games. Find the m

ean and the standard deviation of the data. Identify the outlier, and describe how it affects the mean and the standard deviation. If necessary, round all the numbers to 1 decimal place.
Mathematics
1 answer:
miv72 [106K]3 years ago
8 0
After adding all the numbers together then dividing the sum by 13 I got 25.7 rounded to 26
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A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
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The answer is 15 in³.

The volume of the cone is:
V_1= \pi r_1 ^{2}  \frac{h_1}{3} = \frac{ \pi  r_1^{2} h_1}{3}
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone

The volume of the cylinder is:
V_2= \pi  r_2h_2^{2}
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone

Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
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h₁ = h₂

Also:
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Now, let's write two volume formulas together:
V_1= \frac{ \pi r^{2} h}{3}
<span>V_2= \pi rh^{2}</span>

We can include V₂ into V₁:
V_1= \frac{V_2}{3}

⇒ V_2=3*V_1
V_2=3*5 in^{3}
V_2=15 in^{3}
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The answer is 0864.

Hope it helps!

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