The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 800 voters in the town and found that 51% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 47%. Determine the P-value of the test statistic. Round your answer to four decimal places.

where's the sample?

lol

Answer:0.714 not sure exactly  if i need to simplify, mullitiply,  or divide.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

d(5(x+2))/dx

d(5x+10)/dx

d(5x)/dx + d(10)/dx

5+0

5

Answer:

The third option, y=(-1/3)x-7

Step-by-step explanation:

To find a line perpendicular to an equation, you find the negative reciprocal of the slope. For instance, if you have an equation y=4x+5, the negative reciprocal is y=(-1/4)x+5. That is the equation to find a line perpendicular to this.

If you want to find a line parallel to the equation y=4x+5, all you have to do is come up with another equation that has the same slope. So, y=4x+8 would be a line parallel to the equation y=4x+5.

Answer:

C

Step-by-step explanation:

Have a great day ^^ :)

Answer:

17

Step-by-step explanation:

85/5=17

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

Answer:

4.9%

Step-by-step explanation:

Answer:

nweoksowjxu928idvdiwd9w

Answer:

[tex]P_{20} = 20[/tex] --- 20th percentile

[tex]P_{25} = 21.75[/tex]  --- 25th percentile

[tex]P_{65} = 27.85[/tex]   --- 65th percentile

[tex]P_{75} = 29.5[/tex]   --- 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:

[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{9}{100}[/tex]

[tex]P_{20} = \frac{20 * 9}{100}[/tex]

[tex]P_{20} = \frac{180}{100}[/tex]

[tex]P_{20} = 1.8th\ item[/tex]

This is then calculated as:

[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]

[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]

[tex]P_{20} = 16 + 0.8*5[/tex]

[tex]P_{20} = 16 + 4[/tex]

[tex]P_{20} = 20[/tex]

Solving (b): The 25th percentile

This is calculated as:

[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{9}{100}[/tex]

[tex]P_{25} = \frac{25 * 9}{100}[/tex]

[tex]P_{25} = \frac{225}{100}[/tex]

[tex]P_{25} = 2.25\ th[/tex]

This is then calculated as:

[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]

[tex]P_{25} = 21 + 0.25(24-21)[/tex]

[tex]P_{25} = 21 + 0.25(3)[/tex]

[tex]P_{25} = 21 + 0.75[/tex]

[tex]P_{25} = 21.75[/tex]

Solving (c): The 65th percentile

This is calculated as:

[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{9}{100}[/tex]

[tex]P_{65} = \frac{65 * 9}{100}[/tex]

[tex]P_{65} = \frac{585}{100}[/tex]

[tex]P_{65} = 5.85\th[/tex]

This is then calculated as:

[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]

[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]

[tex]P_{65} = 27 + 0.85(1)[/tex]

[tex]P_{65} = 27 + 0.85[/tex]

[tex]P_{65} = 27.85[/tex]

Solving (d): The 75th percentile

This is calculated as:

[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{9}{100}[/tex]

[tex]P_{75} = \frac{75 * 9}{100}[/tex]

[tex]P_{75} = \frac{675}{100}[/tex]

[tex]P_{75} = 6.75th[/tex]

This is then calculated as:

[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]

[tex]P_{75} = 28 + 0.75(30- 28)[/tex]

[tex]P_{75} = 28 + 0.75(2)[/tex]

[tex]P_{75} = 28 + 1.5[/tex]

[tex]P_{75} = 29.5[/tex]

Answer:

x <= 500

Step-by-step explanation:

x (how much money) is less than, or equal to $500.

Answer:

(8n)(-77)=-77(n*8)

We move all terms to the left:

(8n)(-77)-(-77(n*8))=0

We add all the numbers together, and all the variables

8n(-77)-(-77(+n*8))=0

We multiply parentheses

-616n-(-77(+n*8))=0

We calculate terms in parentheses: -(-77(+n*8)), so:

-77(+n*8)

We multiply parentheses

-616n

Back to the equation:

-(-616n)

We get rid of parentheses

-616n+616n=0

We add all the numbers together, and all the variables

=0

n=0/1

n=0

the property is Associative Property

Step-by-step explanation:

this one was kinda hard pls let me know it its right or not

Answer: 16 degrees obviously

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

Jane is 13.

Step-by-step explanation:

Nolan is 11

Jillian is 12 because Jillian is 1 year older than Nolan.

Jane is one year older than Jillian. Which leads to the statement that Jane is 13 years old.

Answer: 420

Step-by-step explanation:

I took the test and got it right lol

Answer:

27 feet

Step-by-step explanation:

There are 3 feet in 1 yard. 9×3=27

Answer: 5 dots should be placed on value 2.

Step-by-step explanation:

Answer:

there should be 5 dots

Step-by-step explanation:

respondo por qué el juego me lo diste 2+24

Answer:

Step-by-step explanation:

Equation in slope-intercept form:

Substitute values:

Answer:

10 : 30

Step-by-step explanation:

Answer:

10:30

----------------------

Answer:

48/70 = 24/35 = 0.685714 = 68.57%

Answer:

48 acopf70 (eg)3 ( nt)2

Step-by-step explanation:

48 acopf70 (eg)3 (nt)2

Answer:

perimeter = 2(length) + 2(width)

Step-by-step explanation:

Answer: the fully simplified version would be 8/x^5y^4

Step-by-step explanation:

Side A is 4

Side B is 6

Perimeter is 28

Answer:

if Cary works at 8 hours per hour, then she will have $440

Step-by-step explanation:

this is, if you are referring to your previous question about Cary making $56 in 7 hours.