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AysviL [449]
3 years ago
9

Two rectangular prisms have the same volume. The area of the base of the blue prism is 216 square units. The area of the base of

the red prism is one third that of the blue prism. Which statement is true? Math item stem image CLEAR CHECK The height of the red prism is one-third the height of the blue prism. The height of the red prism is the same as the height of the blue prism. The height of the red prism is six times the height of the blue prism. The height of the red prism is three times the height of the blue prism.
Mathematics
1 answer:
ikadub [295]3 years ago
6 0

Answer:263 square units

Step-by-step explanation:

No work needed

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x < 2

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< means less than

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The x-values below are hours spent studying, and the y-values are grades on a test. What is the Pearson product-moment correlati
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Answer:

The Pearson product-moment correlation coefficient is r = 0.9556

Step-by-step explanation:

The Pearson product-moment correlation coefficient (PMCC) is a numerical value between -1 and 1 that expresses the strength of the linear relationship between two variables.When r is closer to 1 it indicates a strong positive relationship. A value of 0 indicates that there is no relationship. Values close to -1 signal a strong negative relationship between the two variables.

To find the PMCC of the following data, you must:

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Step 1: Find X\cdot Y, X\cdot X and Y\cdot Y as it was done in the table below.

Step 2: Find the sum of every column to get

\sum{X}=11.6 ~,~ \sum{Y}=400 ~,~ \sum{X \cdot Y}=974.1 ~,~ \sum{X^2}=30.1  ~,~ \sum{Y^2}=32730

Step 3: Use the following formula to find the PMCC.

\begin{aligned}r~&=~\frac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}}         {\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}} \\r~&=~\frac{ 5 \cdot 974.1 - 11.6 \cdot 400 }         {\sqrt{\left[ 5 \cdot 30.1 - 11.6^2 \right] \cdot \left[ 5 \cdot 32730 - 400^2 \right] }} \approx 0.9556\end{aligned}

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Two sides of a triangle have the same length. The third side measures 3 m less than twice that length.the perimeter of the trian
elena-s [515]

Answer:

The lengths of three sides are <u>6 m, 6 m and 9 m</u>.

Step-by-step explanation:

Given:

Two sides of a triangle have the same length.

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The perimeter of the triangle is 21 m.

Now, to find the lengths of all three sides.

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3 years ago
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