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3 years ago

in an election about 500,000 people voted in all which number could be the exact number of people who voted in the election

1 answer:

8 0

I think this question is asking for the closest number to 500,000, which is 533,736. I don't know how to show work for this, except for saying this number is about 33,000 away from 500,000 which is the closest out of 429,455, 441,689, 533,736, and 550,198.

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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

2/5 - 1/3 (simplified if possible)

Kipish [7]

Answer:

1/15

Step-by-step explanation:

(1). Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD (Least Common Denominator).

So lets do step one now, the LCD is 15 so we have to make both denominators agree on one number, so 15 is the number both denominators agree on.

Solve:

2*3/5*3 - 1*5/3*5

(2). Complete the multiplication.

6/15 - 5/15

(3). The two fractions now have like denominators so you can subtract the numerators.

6 - 5 / 15 - 15 = 1/15

*Pro tip:

The denominator doesn't change and stays the same. So you don't 

subtract the 15 by 15.

(4). Then you'll get the answer and then if you can simplify then simplify.

The Answer is 1/15, and cannot be simplified.

So the answer is 1/15

Hope this helps!

7 0

2 years ago

PLEASE HELP!!!!!!!!!!!!!! THIS IS TIMED!!!!!!!!!!! HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Fittoniya [83]

Answer: 70% or .7

Step-by-step explanation: there are 10 people total who have a brother and 7 of those people have a sister so 7/10=.7

8 0

3 years ago

Part A: The area of a square is (9x2 + 24x + 16) square units. Determine the length of each side of the square by factoring the

ella [17]

Answer:

Step-by-step explanation:

Part A

9x^2 + 24x + 16

= (3x + 4)(3x + 4)

length of each side = 3x + 4 units.

Par B

16x^2 - 25y^2

= (4x + 5y )( 4x - 5y)

length = 4x + 5y and width = 4x - 5y

4 0

3 years ago

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a d

MrMuchimi

The most probability would be exact fractions, because there is a equal number of odd and even numbers.

4 0

3 years ago