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Diano4ka-milaya [45]

3 years ago

8

Which shows the length of the darkened arc? (The wierd symbol next to the answers is Pi)

2 answers:

SashulF [63]3 years ago

8 0

Answer: 15 π

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Looking at the circle,

Diameter = 18 inches

Radius = diameter/2 = 18/2

Radius = 9 inches

Circumference = 2 × 9 × π = 18π

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r = 9 inches

θ = 60 degrees

Length of arc = 60/360 × 2 × π × 9

Length of arc = 3π

The length of the darkened arc is the circumference of the circle - the arc formed by 60 degrees. Therefore,

length of the darkened arc = 18π - 3π = 15π

fgiga [73]3 years ago

3 0

Answer:

15 pi

Step-by-step explanation:

The circumference of the circle is given by

C = pi * d

C = pi *18

We are subtracting part of the circumference that covers 60 degrees

The entire circle is 360 degrees

60/360 = 1/6

We are subtracting 1/6 of the circumference

1/6 *18pi = 3pi

We have 18pi and subtract 3pi = 15pi

The dark shaded arc is 15pi

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Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20

densk [106]

Answer:

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

$P_{25} = 21.75$ --- 25th percentile

$P_{65} = 27.85$ --- 65th percentile

$P_{75} = 29.5$ --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

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

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

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

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

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

$P_{20} = 1.8th\ item$

This is then calculated as:

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

$P_{20} = 16 + 0.8*(21 - 16)$

$P_{20} = 16 + 0.8*5$

$P_{20} = 16 + 4$

$P_{20} = 20$

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:

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

$P_{65} = 27 + 0.85(28 - 27)$

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

$P_{65} = 27 + 0.85$

$P_{65} = 27.85$

Solving (d): The 75th percentile

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:

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

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

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

$P_{75} = 28 + 1.5$

$P_{75} = 29.5$

7 0

3 years ago

The Longview Lobos baseball team lost 8 out

Verdich [7]

Answer:

approx. 13 games

Step-by-step explanation:

8 x

-- = --

40 64

cross multiply-

8*64=512

512/40=12.8

round up to 13

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SCORPION-xisa [38]

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Step-by-step explanation:

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3 years ago

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Show away to count from 668to900 using ones,ten,and hundred

sweet [91]

Not sure what you mean, exactly, but Ill try.

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