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3 years ago

5

Find the surface area and volume of the cone .

1 answer:

liraira [26]3 years ago

5 0

Answer:

Surface area of a cone = πrs + πr2

Volume of a cone = 1/3πr2h.

The slant of a right circle cone can be figured out using the Pythagorean Theorem if you have the height and the radius.

Answers for volume problems should always be in cubic units.

Step-by-step explanation:

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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

I'm stuck on this. Please help!!

Sveta_85 [38]

I think it is F, but I am a not sure.

3 0

4 years ago

Read 2 more answers

Mexine can stack 20 boxes in 15 minutes. how long will it take her to stack 100 boxes

Charra [1.4K]

Lets use a rule of three simple with direct proportion to solve:
20 boxes -----> 15 min
100 boxes ----> x
x = (100)(15)/20
x = 75
therefore it takes 75 mins to stack 100 boxes

If we use fractions to solve:
15/20 = x/100
and solve for x.
20/15 = 100/y
solve for y

7 0

3 years ago

What is the point-slope form of the equation for the line with a slope of 6/19 that passes through the point (−1,75)?

Umnica [9.8K]

Answer:

The answer is

<h2> $y = \frac{6}{19} x + \frac{1431}{19}$ </h2>

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (−1,75) and slope 6/19 is

$y - 75 = \frac{6}{19} (x + 1) \\ y - 75 = \frac{6}{19} x + \frac{6}{19} \\ y = \frac{6}{19} x + \frac{6}{19} + 75$

We have the final answer as

$y = \frac{6}{19} x + \frac{1431}{19}$

Hope this helps you

5 0

3 years ago

Question on photo, there are two parts, read carefully! Will mark brainliest

sdas [7]

Its 4 on the first 6 and the second 8 on the next one last one 4

4 0

3 years ago