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zlopas [31]
3 years ago
13

PLEASE HELP ME I WILL MARK AS BRAINLIEST

Mathematics
1 answer:
jonny [76]3 years ago
3 0

Answer:

51.2 mi

Step-by-step explanation:

Proportions:

5 in ⇔ 16 mi

16 in ⇔ C mi

C = 16*16/5

C = 51.2 mi

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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

7 0
3 years ago
Please help hurry please like now any body
Soloha48 [4]
12 down is decagon. 7 down is mode. I think 5 down is slope. 13 down is prime. 3 down might be variable. 10 down should be equation. Hope these are right!
7 0
3 years ago
Delia can buy 3 identical sweatshirts for a total of $30. How much would it cost if she were to buy 4 of the same sweatshirts at
emmainna [20.7K]

$30/ 3 sweatshirts = $10 /shirt

$ 10/shirt * 4 shirts = $40

It would cost $40

7 0
3 years ago
What’s the radical form of 2 1/2
Svetlanka [38]

Do you still need help?


7 0
3 years ago
Plzzzz help it is due today
FromTheMoon [43]

Answer:

because it is going a greater distance in a shorter time yes astroid x is going faster

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