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Marina86 [1]
3 years ago
9

In a sample of 1000 randomly, selected consumers who had opportunities to send in a rebate claim form after purchasing a product

, 250 of these people said they never did so. Reasons cited for their behavior included too many steps in the process, amount too small, missed deadline, fear of being placed on a mailing list, lost receipt, and doubts about receiving the money. Calculate a 95% confidence Interval for the true proportion of such consumers who never apply for a rebate.
Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer: =(0.2232,0.2768)

Step-by-step explanation:

The confidence interval for population proportion is given by :-

p\ \pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

Given : Sample size : n=1000

The proportion of people selected consumers who had opportunities to send in a rebate claim form after purchasing a product said they never did so =\dfrac{250}{1000}=0.25

Significance level : 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

Now, the 95% confidence Interval for the true proportion of such consumers who never apply for a rebate will be :-

0.25\ \pm (1.96)\sqrt{\dfrac{0.25(1-0.25)}{1000}}\\\\\approx0.25\pm0.0268\\\\=(0.2232,\ 0.2768)

Hence, a confidence Interval for the true proportion of such consumers who never apply for a rebate .

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The area of any regular polygon can be expressed as:

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8 0
3 years ago
A new company president is said to have caused the company "to do a 180." Before the new president, the company was losing 10,00
bezimeni [28]

Answer:

<u>Earning </u>10,000 per month.

Step-by-step explanation:

Since a "180" usually refers to an opposite, the opposite of "losing 10,000 per month" would happen.

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3 0
2 years ago
In order to solve the following system of equations by addition, which of the
Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given <u>system of equations</u>:

\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}

To solve the given system of equations by addition, make one of the variables in both equations <u>sum to zero</u>.  To do this, the chosen variable must have the <u>same coefficient</u>, but it should be <u>negative</u> in one equation and <u>positive</u> in the other, so that when the two equations are added together, the variable is <u>eliminated</u>.

<u>To eliminate the </u><u>variable y</u>:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

\implies -3(4x-2y=7) \implies -12x+6y=-21

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

\implies 2(3x-3y=15) \implies 6x-6y=30

Add the two equations together to <u>eliminate y</u>:

\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}

<u>Solve</u> for x:

\implies -6x=9

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\implies 3\left(-\dfrac{3}{2}\right)-3y=15

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\implies -3y=\dfrac{39}{2}

\implies y=-\dfrac{39}{2 \cdot 3}

\implies y=-\dfrac{13}{2}

Learn more about systems of equations here:

brainly.com/question/27868564

brainly.com/question/27520807

3 0
2 years ago
Read 2 more answers
I don't get it and it's too confusing
Gwar [14]
10x-3(x-6)=-(x-1)
first distribute
10x -3x +18 = -x + 1
then you simplify
7 x +18 = -x +1
then you leave of when one side of x
6 x +18= +1
use opposite operation on the side with the x and do the same equation to the other side
6 x = -17
then divide
x = - 2.8333....
3 0
3 years ago
The line segment formed by joining points A (-1,y) B (0,0), and the line segment joined by forming points C (6,3) D (8,9) share
Airida [17]

Answer:

<h3>-3</h3>

Step-by-step explanation:

For two parallel lines. their slope are equal

Find the slope of each of the lines

For line A;

m = 0 -y/0+1

mA = -y/1

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mB = 6/2

mB = 3

since their slope are equal hence mA = mB

-y/1 = 3

-y = 3

y = -3

Hence the value of y is -3

8 0
3 years ago
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