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elena-14-01-66 [18.8K]
3 years ago
7

Rewrite x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values. a = 4 and b = 3

a = 3 and b = 2 a = 2 and b = 1 a = 1 and b = 4
Mathematics
2 answers:
Lyrx [107]3 years ago
6 0

Answer:

A

Step-by-step explanation:

neonofarm [45]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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Find the output, h, when the input, x, is -18
erastovalidia [21]

Answer:

The output H is 20 when the input, x, is -18

Step-by-step explanation:

H= 17 + x/6

When the input, x, is -18 then the output H will be:

H= 17 + 18/6

H= 17 + 3

H = 20

Answer: The output H is 20 when the input, x, is -18

5 0
3 years ago
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
(6 1/3-1/6x 36=?<br> 221/6<br> 216<br> 222<br> 242
scoundrel [369]

Answer:

<em>-(6 1/3-1/6x 36=216</em>

Hope I helped

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Without using the formula, work out the gradient of the graph shown.
Harman [31]

Answer:

1/3

Step-by-step explanation:

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What is the value of x in the equation (3/4 + 5/8) x = 3/5
mr Goodwill [35]

Answer:

It is x=−92 .

Step-by-step explanation:

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