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Marta_Voda [28]
2 years ago
14

The legend on a map states that 1 cm is 20 km. If you measure 9 centimeters on the map, how many kilometers would the actual dis

tance be?
Mathematics
1 answer:
Ulleksa [173]2 years ago
4 0

Making a proportion helps solve this problem. Cm on top, km on bottom.


1 9

---- = ----

20 ?


Cross multiply to get 1? = 180


? = 180.


The distance is 180 km.

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Which pair of figures has the same number of faces as vertices
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3 years ago
ducational Television In a random sample of people, said that they watched educational television. Find the confidence interval
SIZIF [17.4K]

Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is   0.748  <  p <  0.842      

Step-by-step explanation:

From the question we are told that

     The sample size is  n = 200

     The number of people that watched the educational television is k =  159

Generally the sample proportion is mathematically represented as

               \^ p =  \frac{159}{200}

=>               \^ p =  0.795

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>     E =  1.645  * \sqrt{\frac{0.795 (1- 0.795)}{200} }

=>     E = 0.04696

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.795  -0.04696  <  p <  0.795 + 0.04696

=>    0.748  <  p <  0.842      

3 0
2 years ago
24 boys started a cycle racc and 18 of them
soldier1979 [14.2K]
75% ended the race
25-18=6
6 goes into 24 4 times so it is 25% that did not finish
100%-25%=75%
So 75% finished the race
7 0
2 years ago
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