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love history [14]
4 years ago
9

Liza y Abby planean extender sus mantas en un parque para un picnic con sus amigos. El parque está lleno de gente, así que extie

nden sus mantas como se muestra en el diagrama. 5.7 pies5.7 \text{ pies} 5.7 pies 4 pies4 \text{ pies} 4 pies 2 pies2 \text{ pies} 2 pies 5 pies5 \text{ pies} 5 pies 6 pies6 \text{ pies} 6 pies Determina el área total area que Liza y Abby tienen para su picnic.

Mathematics
1 answer:
Margarita [4]4 years ago
5 0

Answer:

Step-by-step explanation:

The question in English is basically find the area of the pink and blue area shown. The image is attached. This is Liza and Abby's blanket spread and we want the area of the whole shown.

<u>Solution:</u>

We want area of pink rectangle PLUS the blue region, which is a sum of lower rectangle and top triangle (if we cut it in this way).

First, area of pink rectangle:

Area = length * height

Area = 5 * 5.7

Area = 28.5

Now, the blue region, if broken down, lower portion is rectangle and upper portion is a triangle (we DISREGARD the overlapping region, of course!)

Lower Rectangle Area = length * height = 4 * 2 = 8

Upper triangle Area = 0.5 * base * height = 0.5 (4) * (6-2) = 0.5 * 4 * 4 = 8

So, blue region area = 8 + 8 = 16

<u>Total Area = 28.5 + 16 = 44.5 sq. ft.</u>

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<u>Answers:</u>

1a) y=-10/3x+90

1b) 20

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2b) How much the heights of five basketball players vary from the average height.

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<u>Explanations:</u>

<u>1a)</u> The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. <em>Our equation is now y=-10/3x+90.</em>

<u>1b) </u>To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

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y=-70+90 (simplify by multiplying -10/3 by 21)

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<u>1c) </u>To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

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<em>Therefore, we can predict that when y is 150, x is -18.</em>

----------------------------------------------------------------------------------------------------------------

<u>2a) </u>The mean absolute deviation (or MAD for short) of a data set is calculated as such:

<u>Step 1) </u>Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. <em>Therefore, our mean is 63.</em>

<u>Step 2) </u>Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

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Some of these values are negative, but we're using absolute value so they all become positive. <em>We now have a new set of values: 2, 5, 1, 2, and 4.</em>

<u>Step 3)</u> Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. <em>Therefore, the MAD (and the answer to problem 2a) is 2.8.</em>

<u>2b)</u> Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

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Step-by-step explanation:

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