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FinnZ [79.3K]
1 year ago
9

The time needed to travel a certain distance varies inversely with the rate of speed. If it takes 8 hours to travel a certain di

stance at 36 miles per hour, how long will it take to travel the same distance at 60 miles per hour?
———hours ?
Mathematics
2 answers:
notsponge [240]1 year ago
8 0

Answer:

4.8

Step-by-step explanation:

Speed = distance/time

36 = distance/8

Distance = 36×8

= 288

60 = 288/time

time = 288/60

= 4.8

katen-ka-za [31]1 year ago
5 0
I believe it would be 4.8 hours
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A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)
Maksim231197 [3]

Answer:

a

  The 95% confidence interval is  0.0503  <   p < 0.1297

b

The sample proportion is  \r p =  0.09

c

The critical value is  Z_{\frac{\alpha }{2} } =  1.96

d

 The standard error is  SE   =0.020

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  200

     The number of defective is  k =  18

The null hypothesis is  H_o  :  p  =  0.08

The  alternative hypothesis is  H_a  :  p > 0.08

Generally the sample proportion is mathematically evaluated as

            \r p =  \frac{18}{200}

            \r p =  0.09

Given that the confidence level is  95% then the level  of significance is mathematically evaluated as

        \alpha  =  100 -  95

        \alpha  =  5\%

        \alpha  =  0.05

Next we obtain the critical value of  \frac{ \alpha }{2} from the normal distribution table, the value is  

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

Generally the standard of error is mathematically represented as

          SE   =  \sqrt{\frac{\r p (1 -  \r p)}{n} }

substituting values

         SE   =  \sqrt{\frac{0.09  (1 -  0.09)}{200} }

        SE   =0.020

The  margin of error is  

       E =  Z_{\frac{ \alpha }{2} }  * SE

=>    E =  1.96  *  0.020

=>   E =  0.0397

The  95% confidence interval is mathematically represented as

     \r p  -  E  <  \mu <  p <  \r p  + E

=>   0.09 - 0.0397  <  \mu <  p < 0.09 + 0.0397

=>  0.0503  <   p < 0.1297

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1 year ago
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OleMash [197]

Answer:

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Step-by-step explanation:

y^3/98

((100* y^3/98 * x) * y

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Step-by-step explanation:

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A record collection consists of eight rock albums, twelve blues albums, and four classical albums. If two records are chosen ran
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Total albums:
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