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Mama L [17]
3 years ago
13

Hello! :) Please help me. Thanks! ~ Destiny ^_^

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

720 in³

Step-by-step explanation:

The volume (V) of a right prism is calculated as

V = area of triangular end × length

area of Δ = \frac{1}{2} bh

where b is the base and h the perpendicular height

here b = 8 and h = 15, thus

area of Δ = 0.5 × 8 × 15 = 4 × 15 = 60 in²

The length of the prism is 12 in, hence

V = 60 × 12 = 720 in³

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The original data set is 
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}

Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70} 
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median. 

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Divide the sorted data set into two lists. I'll call them L and U 
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U = {</span><span>55, 56, 60, 62, 65, 67, 70}
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Therefore, Q3 = 62

Answer: 62</span>
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