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Alex777 [14]
3 years ago
15

How do you round 1/3 to the nearest penny

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0
1/3 in decimal form is 3.3 (repeating)
So, rounding it to the nearest penny would be rounding it to the hundredths place which would be 3.33. 
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Step-by-step explanation:

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Solve the following system: (5 points)
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a triangular poster is 3 times as long as its height. The coaster has an area of 24 in. What are the dimensions of the poster?
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The outlier of a dataset is a data element that is relatively far from the remaining data elements

  • <em>99 is an outlier of pet group</em>
  • <em>See attachment for the parallel box plots</em>

<u>(a) Prove that 99 is an outlier for Pet</u>

We have:

<em>Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99</em>

n = 15

The quartiles positions are:

Q_1 = \frac{n + 1}{4}

Q_1 = \frac{15 + 1}{4}

Q_1 = \frac{16}{4}

Q_1 = 4th

Q_3 = Q_1 \times 3

Q_3 = 4th \times 3

Q_3 = 12th

So, we have:

Q_1 = 4th

Q_3 = 12th

From the pet group:

The data elements at the 4th and 12th positions are 68 and 79

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Q_1 = 68

Q_3= 79

The lower and upper limits of the outlier are:

L = Q_1 - 1.5 \times (Q_3 - Q_1)

U = Q_3 + 1.5 \times (Q_3 - Q_1)

So, we have:

L = 68 - 1.5 \times (79 - 68)

L = 51.5

U = 79+ 1.5 \times (79 - 68)

U = 95.5

This means that data below 51.5 or above 95.5 are outliers.

<em>Hence, 99 is an outlier because 99 is greater than 95.5</em>

<u>(b) The parallel box plot</u>

The three groups are:

<em>Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99</em>

<em>Erlento: 88 80 80 81 92 87 88 81 82 80 87 92 87 80 82 </em>

<em>Alone: 62 70 73 75 77 80 84 84 84 87 87 87 90 91 99</em>

<em />

See attachment for the parallel box plots

Read more about box plots and outliers at:

brainly.com/question/14940764

5 0
3 years ago
Write a system of inequalities that defines a shaded region that looks like a<br> right triangle.
eduard

(1) \ x>0 \\ \\ (2) \ y>0 \\ \\ (3) \ y

<h2>Explanation:</h2>

A right triangle is a special triangle that has a right angle. In this case, we have to write a system of inequalities that defines a shaded region that looks like a  right triangle. First of all, let's say that at the origin the triangle will have a right angle. To do so, we'd need to set:

x>0 \\ \\ y>0

So the shaded region in this first part will be the First Quadrant as indicated in the first figure below. So if the opposite side lies on the x-axis the adjacent side will lie on the y-axis or if the adjacent side lies on the x-axis the opposite side will lie on the y-axis. Everything is ok up to this point. We just need to define the hypotenuse, so we'd need to define a line.  In order to have a right triangle, we need a line with negative slope and positive y-intercept shaded under the line. So, this inequality could be:

y

Finally, the system of inequalities would be:

(1) \ x>0 \\ \\ (2) \ y>0 \\ \\ (3) \ y

And the final shaded region is the one shown in the second figure.

<h2>Learn more:</h2>

Inequalities: brainly.com/question/2486051

#LearnWithBrainly

3 0
3 years ago
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