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3 years ago

8

Use the grouping method to factor the polynormial below completely. 10x^3 - 35x^2 + 6x - 21

1 answer:

katovenus [111]3 years ago

4 0

the answer is.......

$(2x - 7)(5 {x}^{2} + 3)$

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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

Find the product.<br><br> (n + 4)2

Schach [20]

Answer:

n^2+8n+16

Step-by-step explanation:

(n+4)^2

=(n+4) (n+4)

= n^2+4n+4n+16

=n^2+8n+16

5 0

3 years ago

Read 2 more answers

Dinesh has been keeping track of his time at work over the past month. Answer the questions below using the information provided

Gala2k [10]

The total hours that Dinesh worked each week over the past month are as follows:

<h3>Dinesh's Time in Hours</h3>

Total Hours

Worked

Week 1 37.500

Week 2 36.071

Week 3 35.999

Week 4 34.570

Total 144.140

<h3>Data and Calculations:</h3><h3>Dinesh's Time in Hours</h3>

Meetings Administration Project X - Project X- Total Hours

Design Deliverables Worked

Week 1 7¹/₄ 4¹/₄ 23¹/₃ 2²/₃

Week 2 4²/₃ 2⁴/₇ 16¹/₃ 12¹/₂

Week 3 3.50 3.83 9.33 19.33

Week 4 6.17 3.40 4.20 20.80

<h3>Conversion into Dinesh's Time in Hours (decimals)</h3>

Meetings Administration Project X - Project X- Total Hours

Design Deliverables Worked

Week 1 7.250 4.250 23.333 2.667 37.500

Week 2 4.667 2.571 16.333 12.500 36.071

Week 3 3.500 3.833 9.333 19.333 35.999

Week 4 6.170 3.400 4.200 20.800 34.570

Total 21.587 14.054 53.199 55.300 144.140

Thus, Dinesh's total hours worked for the past month was <u>144.140 hours</u>.

Learn more about calculating hours worked at brainly.com/question/17054097

#SPJ1

8 0

2 years ago

Factor completely:<br><br> 7r^2− 64r + 64

poizon [28]

Answer:

7r^2-64r+64

49r-64r+64

-15r+64

Step-by-step explanation:

8 0

2 years ago

T: 3(t + 3) + 5(3 + 2t) – 76 = 0

Setler [38]

Answer:

$\huge\boxed{\sf t = 4}$

Step-by-step explanation:

$\sf 3(t+3)+5(3+2t)-76 = 0\\\\Expanding \ Parenthesis\\\\3t + 9 + 15 + 10t -76 = 0\\\\13t + 24 -76 = 0\\\\13t - 52 = 0\\\\Add \ 52 \ to \ both \ sides\\\\13t = 52\\\\Dividing\ both\ sides\ by\ 13\\\\t = 52/13\\\\t = 4\\\\\rule[225]{225}{2}$

Hope this helped!

<h3>~AH1807</h3>

6 0

3 years ago

Read 2 more answers