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4 years ago

6

Aubrey brought 2 1/2 pans of lasagna to a family dinner. During the meal, Aubrey and her family ate 75% of the lasagna. At the e

nd of the dinner, Aubrey's brother took home 1/2 of a pan of lasagna. How much lasagna is left now? The amount of lasagna left now is

2 answers:

n200080 [17]4 years ago

6 0

Answer:

2.5-.75-.5

2.50-1.25

1.25 of lasagna is left

White raven [17]4 years ago

3 0

Answer:

⅛

Step-by-step explanation:

total amount of pans of lasagna is 2½

the family ate 75% of it which is equal to 75/100 × 2½. this means the family ate 1⅞ pans of the lasagna .

amount left is : 2½- (1⅞+½)= ⅛ pabs of lasagna

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$P_{20} = 20$ --- 20th percentile

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Step-by-step explanation:

Given

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First, arrange the data in ascending order:

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Solving (a): The 20th percentile

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$P_{20} = 20 * \frac{8 +1}{100}$

$P_{20} = 20 * \frac{9}{100}$

$P_{20} = \frac{20 * 9}{100}$

$P_{20} = \frac{180}{100}$

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This is then calculated as:

$P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)$

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Solving (b): The 25th percentile

This is calculated as:

$P_{25} = 25 * \frac{N +1}{100}$

$P_{25} = 25 * \frac{8 +1}{100}$

$P_{25} = 25 * \frac{9}{100}$

$P_{25} = \frac{25 * 9}{100}$

$P_{25} = \frac{225}{100}$

$P_{25} = 2.25\ th$

This is then calculated as:

$P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)$

$P_{25} = 21 + 0.25(24-21)$

$P_{25} = 21 + 0.25(3)$

$P_{25} = 21 + 0.75$

$P_{25} = 21.75$

Solving (c): The 65th percentile

This is calculated as:

$P_{65} = 65 * \frac{N +1}{100}$

$P_{65} = 65 * \frac{8 +1}{100}$

$P_{65} = 65 * \frac{9}{100}$

$P_{65} = \frac{65 * 9}{100}$

$P_{65} = \frac{585}{100}$

$P_{65} = 5.85\th$

This is then calculated as:

$P_{65} = 5th + 0.85(6th - 5th)$

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$P_{65} = 27 + 0.85(1)$

$P_{65} = 27 + 0.85$

$P_{65} = 27.85$

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This is calculated as:

$P_{75} = 75 * \frac{N +1}{100}$

$P_{75} = 75 * \frac{8 +1}{100}$

$P_{75} = 75 * \frac{9}{100}$

$P_{75} = \frac{75 * 9}{100}$

$P_{75} = \frac{675}{100}$

$P_{75} = 6.75th$

This is then calculated as:

$P_{75} = 6th + 0.75(7th - 6th)$

$P_{75} = 28 + 0.75(30- 28)$

$P_{75} = 28 + 0.75(2)$

$P_{75} = 28 + 1.5$

$P_{75} = 29.5$

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