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skelet666 [1.2K]
3 years ago
14

What is the perimeter of a rectangle with a length of 9.5 yd and a width of 4 yd?

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0
27 yards

perimeter= l+l+w+w
9.5+9.5+4+4=27
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The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran
Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that \mu \ne  0.5025

The 95% confidence interval is 0.5045608 <  \mu  < 0.5046392

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is \= x =  0.5046 \ in

The population mean is \mu  =  0.5025 \ in

The null hypothesis is H_o  :  \mu =  0.5025

The alternative hypothesis is H_a  :  \mu \ne  0.5025

The test statistics is mathematically represented as

t =  \frac{0.5046 -  0.5025}{ \frac{0.0001}{\sqrt{25} } }

t =  105

So the p-value from the z-table is mathematically represented as

p-value  =  2 *  P( z >  105)

p-value  = 0.000

seeing that

p-value <  \alpha we reject the null hypothesis

The critical value of

\frac{\alpha }{2} obtained from the normal distribution table is

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

The margin of error is mathematically represented as

E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }

=> E = 1.96 *\frac{0.0001}{\sqrt{25} }

=> E =3.92 *10^{-5}

The 95% confidence level is mathematically represented as

\= x  -  E  <  \mu  < \= x  + E

=> 0.5046  -  3.92 *10^{-5}  <  \mu  < 0.5046  +  3.92 *10^{-5}

=> 0.5045608 <  \mu  < 0.5046392

8 0
3 years ago
The Ferrer family is taking a vacation. During their vacation they will drive a total of 686 miles at an average speed of 65 mil
aleksklad [387]

Answer:

A- m= 686 - 65h

B- h = 686 + 65m

C- m = 686 + 65h

D- h = 686 - 65m

step-by-step explanation:

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3 years ago
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PLEASE LOOK AT PICURE!!! I WILL MARM BRAINIEST TO WHOEVER IS CORRECT!!!
VikaD [51]

Answer:

Step-by-step explanation:

If you want it in decimal form it should be 8.94427190.. and so on it wants it to the nearest hundredth so its just 8.94? I hope this helps the exact form not in decimal form is 4√5.

4 0
3 years ago
Read 2 more answers
For f(x) = 4 - x and g(x) = 2x + x + 7, find the following functions.
Alenkinab [10]

Answer: a. -3(x+1), b. 19-3x, c. -9 and d. 13

Step-by-step explanation:

Lets begin with a.  (fog)(x)=f(g(x))

                                             =f(2x+x+7), Note that 2x+x+7=3x+7

                                             =f(3x+7) (where there  is x if the function f(x) we

                                               substitute x by 3x+7)

                                             =4-(3x+7) =4-3x-7=-3x-3= -3(x+1).

                            b. (gof)(x)=g(f(x))=g(4-x) (where there is x in the function  

                                                g(x) we substitute with 4-x)

                                             = 3(4-x)+7 = 19-3x

                          c.  (fog)(2) = -3(2+1) = -9 (we now substitute x with 2 in -3(x+1). )

                           d. (gof)(2) = 19-3(2)=19-6=13. (Again we now substitute x with

                                               2 in 19-3x)

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I would divide 120 by 6 and get 20
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3 years ago
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