Consider the polygon defined by the coordinates A(-2, 2), B(1,5), C(2, 3), and D(-1,0). Which statements are correct?

Answer:

0.01521

Step-by-step explanation:

The Margin of Error for Difference in Proportions is given as:

z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2

z = z score for 95% confidence interval

= 1.96

In 2018, out of 1542 respondents, 415 said it was the most important.

p1 = x1/n1

x1= 326 n1 = 1323

p1 = 326/1323

0.246409675

Approximately = 0.246

In 2012, out of 1323 respondents, 326 said it was the most important.

p2 = x2/n2

x2 = 415, n2 = 1542

p2= 415/1942

p2 = 0.2136972194

Approximately = 0.214

Margin of Error =

1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542

1.96 × √0.0005699169 - 0.0005097276

1.96 × √(0.0000601893)

1.96 × 0.0077581763

= 0.0152060256

Approximately = 0.01521

Therefore, Margin of Error = 0.01521

You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are  [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:

[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]

where we have:

[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]

and

[tex]\alpha = \text{Level of significance}[/tex]

[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]

For 95% confidence, we have Z score as 1.96

The proportions are calculated as:

[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]

Thus, margin of error is calculated as

[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

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65%

Convert fraction (ratio) 13 / 20 Answer: 65%

Answer:

24

Step-by-step explanation:

Answer:

c is the answer

Step-by-step explanation:

is the not maybe

Answer:

a.1633rad/min

b.1715feet/min

Step-by-step explanation:

We are given that

Diameter of wheel, d=2.1 feet

Radius of wheel, r=[tex]\frac{d}{2}=\frac{2.1}{2}[/tex]feet

Rate=260 rev/min

a. We have to find the angular speed of the wheel in rad/min

1 rev=[tex]2\pi[/tex]radian

Where [tex]\pi=3.14[/tex]

Using the value

Angular speed=[tex]260\times 2\times 3.14/min[/tex]

Angular speed,[tex]\omega=1633rad/min[/tex]

(b)

Speed=[tex]r\omega[/tex]

Using the formula

Speed of  the cyclist=[tex]\frac{2.1}{2}\times 1633[/tex]feet/min

Speed of  the cyclist=1714.65[tex]\approx 1715[/tex]feet/min

Answer:8x + -4 > 12

8x > 16

x > 2

Step-by-step explanation:

Goron should get 98 votes

The question breaks down to taking 35% of 280.  

Votes = 35/100 * 280 = people who will vote for Goron

Votes = 9800 / 100 = people who will vote for Goron.

Votes = 98

Table for the question is attached in the picture below :

Answer:

SELECT distinct(TRUCK_ID), WEIGHT from SHIPMENT where WEIGHT < 800 ;

Step-by-step explanation:

The Structured query language (SQL) defined above, returns only the TRUCK_ID and Weight column from the shipment table as they are the only two columns listed after the select keyword. The condition is added using the WHERE keyword on the weight table, this filters the result returned to include only rows where the weight value is less than 800. The distinct keyword used alongside the TRUCK_ID column ensures that a certian TRUCK_ID value isn't returned more than once (Hence, it is used to avoid duplicates).

Answer:

400

Step-by-step explanation:

Answer:

11,011.055

Step-by-step explanation:

Answer:

1/2 = 3/6

Step-by-step explanation:

.................

Answer:

Step-by-step explanation:

You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars

The total tickets sold on Saturday was 50

The train station made 120

How many adult tickets and kid tickets did they sell?

(40 kids, 10 adults)

A pen cost $40 and the book cost $10

The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.

x + y = 50 ....... i

2x + 4y = 120 .... ii

Let x = pen

Let y = book.

From equation i, x = 50 - y

Since 2x + 4y = 120

2(50 - y) + 4y = 120

100 - 2y + 4y = 120

Collect like terms

-2y + 4y = 120 - 100

2y = 20

y = 10

Therefore, a book cost $10

Since x + y = 50

x + 10 = 50

x = 50 - 10

x = 40

A pen cost $40

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Answer: уравнение имеет 2 решения:

              x₁ = - 4;    x₂ = - 2.

Step-by-step explanation:

Ix + 3I = 1

1) x + 3 = 1

  x + 3 - 3 = 1 - 3

  x = -2

2) - (x + 3) = 1

   x + 3 = - 1

   x + 3 - 3 = - 1 - 3

   x = - 4

Answer:

......

Step-by-step explanation:

Answer

11 inches by 8.5 inches

Step-by-step explanation:

We can use proportions to solve this problem, drawing on top, real life on bottom

1/2 inch           x inches

-------------- = ----------

1 ft                  22ft

Using cross products

1/2 * 22 = x*1

11  =x

11 inches

1/2 inch           x inches

-------------- = ----------

1 ft                  17ft

Using cross products

1/2 * 17 = x*1

8.5 =x

Answer:

expanded notation form:

 6,383 =

 6,000  

+ 300  

+ 80  

+ 3  

expanded factors form:

   6,383 =

 6 × 1,000  

+ 3 × 100  

+ 8 × 10  

+ 3 × 1  

expanded exponential form:

 6,383 =

6 × 103

+ 3 × 102

+ 8 × 101

+ 3 × 100

Step-by-step explanation:

i wasn't entirely sure what you needed but i hope this helps :) have a great day !!

Answer:

A s h i t load

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

156+126=282 & 386-282=104 so,the answer is 104

Answer:

6

Step-by-step explanation:

All sides on a rhombus are equal

Answer:

Its false

Step-by-step explanation:

It cant increase

Answer:

it issss false

Hey I’m sorry I don’t actually know the answer to this I’m working on it rn but if u did find out the answer to this do u mind helping me. I’m sorry and thank uu. Like if there was a sample answer to that can u reply to me with it. I’m really struggling here any help would be greatly appreciated

Answer:

Part a:

The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.

Part b:

The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.

Part c:

The calculate value of Z = 2.1213  lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.

Step-by-step explanation:

Data as given

H 0: μ ≤ 50 against the claim H a:  μ> 50  one tailed test

Z (0.05)= ± 1.645

Sample size n= 50

Using the central limit theorem

Population Standard Deviation= σ=s=6

X= 52.5 , 51 and 51.8

Part a:

Z= x-μ/ s/ √n

Z= 52.5- 50 / 6/ √50

Z= 2.5/0.84853

z= 2.946

The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.

Part b:

Z= x-μ/ s/ √n

Z= 51- 50 / 6/ √50

Z= 1/0.84853

z= 1.17851

The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.

Part c:

Z= x-μ/ s/ √n

Z= 51.8- 50 / 6/ √50

Z= 1.8/0.84853

z= 2.1213

The calculate value of Z = 2.1213  lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Let P(X = x) mark x model number classified correctly.

The mass function of the probability:

[tex]\to f(0) = P(X=0) = (0.03)^3 = 0.0000\\\\\to f(1) = P(X=1) = (3 C_1)\times (0.97)\times (0.03)^2 = 0.0026\\\\\to f(2) = P(X=2) = (3 C_2)\times (0.97)^2 \times (0.03) = 0.0847\\\\\to f(3) = P(X=3) = (0.97)^3 = 0.9127\\\\[/tex]

[tex]x \ \ \ \ f(x) \\\\0\ \ \ \ 0.0000\\\\1\ \ \ \ 0.0026\\\\2\ \ \ \ 0.0847\\\\3\ \ \ \ 0.9127[/tex]

Answer:

8/10 X 22/10

Step-by-step explanation:

When you multiply every number by 2, then the expression will still be equivalent.

Answer:

(4x + 11)/5

Step-by-step explanation:

4/5x + 11/5 = 4x/5 + 11/5 = (4x + 11)/5

Answer:

I'm pretty sure you can stop it by not drinking shampoo.

Step-by-step explanation:

shampoo is bad for you.

Answer:

Stop eating the shampoo

Step-by-step explanation:

If, you don't eat the cucumber shampoo it will not make you gassy.

Answer:

-7•5+3k+3•5+4k

-7•5+3•5+4k+3k

-4+7k

Answer:

T = 2.5

Step-by-step explanation:

Hope this helps!

Answer:

T >2.5

Step-by-step explanation:

Answer:

D) 210 in²

Step-by-step explanation:

Solve for KM.

8²+b²=17²

64+b²=289

b²=289-64

b²=225

b=√225

b=15 (Which is the length of KM, the height of the triangle)

Area=1/2bh

A=1/2(28)(15)

A=210

Answer:

S.tep-by-step explanation:

Answer:

7/2

Step-by-step explanation:

The reciprocal is basically just flipping the fraction upside down. Reciprocal is also called inverse.

Answer:

8.,15,17

Step-by-step explanation:

use pythagoras theorem formula