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nataly862011 [7]
3 years ago
14

Solve the inequality. What is the solution?

Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0

Answer:

x<21.6

Step-by-step explanation:

You're welcome. :)

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kifflom [539]
4! • 3! = 144, hope this helps :)
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One environmental group did a study of recycling habits in a California community. It found that 75% of the aluminum cans sold i
AysviL [449]

Answer:

a

  P( \^ p  >  0.775 ) =  0.12798

b

 P( 0.6718 < p  <  0.775 ) =0.87183

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.75

Considering question a  

     The sample size is  n  =  387

Generally the standard deviation of this sampling distribution is  

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

=>      \sigma  = \sqrt{ \frac{0.75(1 - 0.75)}{ 387 } }    

=>      \sigma  = 0.022    

The sample proportion of cans that are recycled is

                 \^ p =  \frac{ 300}{387 }

=>              \^ p =  0.775

Generally the probability that 300 or more will be recycled is mathematically represented as

         P( \^ p  >  0.775 ) =  P( \frac{\^ p  -  p }{ \sigma }  >  \frac{0.775 - 0.75 }{ 0.022} )

\frac{\^ p  - p }{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p  )

       P( \^ p  >  0.775 ) =  P( Z >  1.136  )

From the z table  the area under the normal curve to the left corresponding to  1.591   is

      P( Z >  1.136)  = 0.12798

=>    P( \^ p  >  0.775 ) =  0.12798

Considering question b

Generally the lower limit of  sample proportion of cans that are recycled is

                 \^ p_1 =  \frac{ 260 }{387 }

=>              \^ p_1  =  0.6718

Generally the upper limit of  sample proportion of cans that are recycled is

                 \^ p_2 =  \frac{ 300}{387 }

=>              \^ p_2  =  0.775

Generally probability that between 260 and 300 will be recycled is mathematically represented as

           P( 0.6718 < p  <  0.775 ) =  P( \frac{0.6718 - 0.75 }{ 0.022}<  \frac{\^ p  -  p }{ \sigma }

=>      P( 0.6718 < p  <  0.775 ) =  P( -3.55 <  Z < 1.136 )

=>        P( 0.6718 < p  <  0.775 ) = P(Z <  1.136 ) -  P( Z <  -3.55 )

From the z table  the area under the normal curve to the left corresponding to  1.136 and  -3.55  is

       P( Z <  -3.55 ) = 0.00019262

and

       P(Z <  1.136 )  = 0.87202

So

       P( 0.6718 < p  <  0.775 ) =  0.87202-  0.00019262

=>   P( 0.6718 < p  <  0.775 ) =0.87183

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2 years ago
What is 8/40 in simplest form?
tensa zangetsu [6.8K]
Divide 8 by 8= 1
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1/5
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Dangers drinking alcohol in young people today and causes of it​
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Answer:

School problems, such as higher rates of absences or lower grades.

Social problems, such as fighting or lack of participation in youth activities.

Legal problems, such as arrest for driving or physically hurting someone while drunk.

Physical problems, such as hangovers or illnesses.

hope this helps

have a good day :)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

2(2t-3)=6(t+2)

4t-6=6t+12

4t-6t=12+6

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