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Artemon [7]
3 years ago
13

Professor Ivy has following scores on her final exams: 97 88 66 55 89 72 94 32 84 89 72 76 77 Express answers rounded correctly

to the nearest tenth
Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

The rest of the question:

<u>Find </u>Mean, Median, Mode, 25th Percentile, 75th Percentile, Maximum, Minimum, Range and IQR.

Let's begin by placing the data points in order from least to greatest:

32  55  66  72  72  76  77  84  88  89  89  94  97

n = 13

<u>1) Mean</u> sometimes called the average = the sum of the data over its number

Mean =( 32+55+66+72+72+76+77+84+88+89+89+94+97 )/13 =

         = 991/13 = 76.23 ≈ 76.2 (to the nearest tenth)

<u>2) Median</u> is the middle data point = 77

<u>3) Mode</u> is any number within a set that occurs the most often

Mode = 72 and 89

We will making a data in suitable form to find the remaining requirements:

<u>(32  55  </u><u>66  72</u><u>  72  76) </u> 77  <u>(84  88  </u><u>89  89</u><u>  94  97) </u>

<u>4) 25th Percentile </u>= Quartile 1 (Q1) which is the median of the first set of data

∴ 25th Percentile = (66+72)/2 = 138/2 = 69

<u>5) 75th Percentile</u>= Quartile 3 (Q3) which is the median of the second set of data

∴ 75th Percentile = (89+89)/2 = 89

<u>6) Maximum</u> = 97

<u>7) Minimum</u> = 32

<u>8) Range</u> = Maximum - Minimum = 97 - 32 = 65

<u>9) IQR (interquartile range)</u> = Q3 - Q1 = 89 - 69 = 20

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photoshop1234 [79]

Answer:

1) The equation that represents the total area of Riley's proposed ratio is A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y).

2) The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

Step-by-step explanation:

1) From Geometry we remember that area formula for the rectangle is represented by:

A = x\cdot y (1)

Where:

A - Area, measured in square feet.

x - Length, measured in feet.

y - Width, measured in feet.

From statement we know that Riley wants to double the area, that is:

A' = 2\cdot A (2)

By applying (1) in (2), we get the following expression:

A' = 2\cdot x\cdot y (3)

Given that Riley wants to double the area of the pation by increasing the length and width by the same amount, we can rearrange (3) by algebraic means:

A' = \sqrt{2}\cdot \sqrt{2}\cdot x\cdot y

A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y) (3b)

The equation that represents the total area of Riley's proposed ratio is A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y).

2) If we know that x = 13\,ft and y = 15\,ft, then the length and the width of the new patio are, respectively:

x' = \sqrt{2}\cdot x

x' = \sqrt{2}\cdot (13\,ft)

x' \approx 18.4\,ft

y' = \sqrt{2}\cdot y

y' = \sqrt{2}\cdot (15\,ft)

y' \approx 21.2\,ft

The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

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2 years ago
Evaluate 5v + w for v = 4 and w = 16. Show work.
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Answer:

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Step-by-step explanation:

5(4)+16=20+16=36

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