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likoan [24]
3 years ago
14

A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers?

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0
The answer is 12 because if you roll it twice the possibility is 12
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divide 3 on both sides 

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Evaluate the expression if a= -5 and b=-2.<br> a + 3b<br> A:4<br> B:1<br> C:11<br> D: -11
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Step-by-step explanation:

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A resident of Bayport claims to the City Council that the proportion of Westside residents
Kazeer [188]

Answer:

The test statistics is  z =  -1.56  

The p-value is   p-value =  0.05938

Step-by-step explanation:

From the question we are told  

   The West side sample  size is n_1  =  578

    The  number of residents on the West side with income below poverty level is k  = 76

    The East side sample size  n_2=688

  The  number of residents on the East side with income below poverty level is u  = 112

   The null hypothesis is  H_o  :  p_1 = p_2

    The alternative hypothesis is  H_a :  p_1 <  p_2

Generally the sample proportion of  West side is  

     \^{p} _1 = \frac{k}{n_1}

=>   \^{p} _1 = \frac{76}{578}

=>   \^{p} _1 =  0.1315

Generally the sample proportion of  West side is  

     \^{p} _2 = \frac{u}{n_2}

=>   \^{p} _2 = \frac{112}{688}

=>   \^{p} _2 =  0.1628

 Generally the pooled sample proportion is mathematically represented as

    p = \frac{k + u}{ n_1 + n_2 }

=>  p = \frac{76 + 112}{ 578 + 688 }

=>  p =0.1485

Generally the test statistics is mathematically represented as

z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2}  ]}  }

=> z = \frac{ 0.1315  - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688}  ]}  }  

=> z =  -1.56  

Generally the p-value  is mathematically represented as

          p-value =  P(z <  -1.56 )

From z-table  

         P(z <  -1.56 ) =  0.05938

So

     p-value =  0.05938

3 0
4 years ago
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