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3 years ago

Create a stem-and-leaf plot of the data values 72,44,75,57,81,65,68,72,73,84,91,76,83,88.

Mathematics

1 answer:

n200080 [17]3 years ago

8 0

To solve this problem you must apply the problem you must apply the proccedure shown below:
1. You have the following data values given in the problem above:
72,44,75,57,81,65,68,72,73,84,91,76,83,88.
2. To create a stem and leaf plot, you must order the digits in the following way:
- The first digits must be listed in the colum "Stem".
- The second digit must be listed in the colum "Leaf".
- Then, write the key, which is the meaning of the data ploted (4|4 means 44).
The Stem and leaf plot is shown in the figure attached.

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Step-by-step explanation:

The question states that $x$ varies "inversely" as $y^2$ . In other words, there is a non-zero number $a$ (a constant) such that:

$\displaystyle x = \frac{a}{y^2}$ .

The challenging part is to find the value of $a$ in this equation.

Given that $x = 3$ when $y = -1$ , replace the $x$ in this equation with $3$ and $y$ with $(-1)$ . This equation should still be valid:

$\displaystyle 3 = \frac{a}{(-1)^{2}}$ .

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$\displaystyle x = \frac{3}{3^2} = \frac{1}{3}$ .

In other words, the value of $x$ would be $\displaystyle \frac{1}{3}$ when $y = 3$ .

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