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Rufina [12.5K]
3 years ago
7

A right rectangular prism has a length of 9 inches, a width of 10 inches, and a height of 11 inches. If a plane slices the prism

in half, parallel to its smallest face, which of the following describes the shape of the two-dimensional cross-section?
A.
a 10-inch by 11-inch rectangle
B.
a 10-inch by 10-inch square
C.
a 9-inch by 10-inch rectangle
D.
a 9-inch by 9-inch square

Mathematics
1 answer:
quester [9]3 years ago
6 0
See the picture attached to better understand the problem

we know that

the <span>smallest face of the prism is the face ABCD
</span>so
the <span>shape of the two-dimensional cross-section is a rectangle 9 in x 10 in
therefore

the answer is
the option </span><span>C.
a 9-inch by 10-inch rectangle</span>

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c) Option A)  When there is rounding or grouping, the median can be highly sensitive to small change

Step-by-step explanation:

We are given the following data set in the question:

108.6, 117.4, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

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Median =

\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.4

b) New median of the reported values

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Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.9, 120.0, 121.5, 123.2, 128.4

New Median =

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c) Since median is a position based descriptive statistics, a small change in values can bring a change in the median value as the order of the data may change.

Option A)  When there is rounding or grouping, the median can be highly sensitive to small change

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