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horrorfan [7]
3 years ago
8

the lengths of the side of a rectangular window have the ratio 1.7 to 1 the area of the window is 2,720 sqaure inches what are d

imensions of the window
Mathematics
1 answer:
nignag [31]3 years ago
3 0

Answer:

Lenght: 68\ in\\\\Width: 40\ in

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

You know that the ratio  of the sides of the rectangular window is:

1.7:1

 Then, let be x the width (in inches) of the rectangular window and 1.7x the lenght (in inches) of the rectangular window.

Knowing that the area of the window is 2,720 square inches, you can know that:

(1.7x)(x)=2,720

Now you must solve for "x" in order to find the width:

(1.7x)(x)=2,720\\\\1.7x^2=\\\\x=\sqrt{\frac{2,720}{1.7} }\\\\x=40

Finally, the lenght is:

1.7x=1.7(40)=68

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Step-by-step explanation:

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A past survey of students taking a standardized test revealed that ​% of the students were planning on studying engineering in c
Angelina_Jolie [31]

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The  95% confidence interval is  -0.00870

Step-by-step explanation:

From the question we are told that

     The first sample  size  is  n_1  =  1068000

     The first proportion  \r p_1 = 0.084

     The second  sample size is  n_2  =  1476000

     The  second  proportion is  \r p_2 =  0.092

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      Z_{\frac{\alpha }{2} } =z_c=  1.96

Now using the formula from the question to construct the 95% confidence interval we have  

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and  

   \r q_2 =  1 - \r p_2

 =>   \r q_2 =  1 - 0.092

=>   \r q_2 = 0.908

So  

 (0.084 - 0.092 )- (1.96)*  \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }

  -0.00870

 

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Answer:

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Step-by-step explanation:

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