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Nataliya [291]
3 years ago
14

2/5 of 1 meter=____cm Plz help thx

Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0

Answer:

40 cm

Explanation:

2/5 = 0.4

1 meter = 100 cm

so,

100 x 0.4= 40 cm

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Determine the measure of x? Please include the way you got the answer as well please​
vladimir2022 [97]

Answer:

x = 16°

Step-by-step explanation:

The three internal angles of the triangle are:

180° - 91° = 89° (angles in a straight line)

180° - 105° = 75° (angles on a straight line)

x = x (vertical angles are congruent)

x + 89 + 75 = 180 (sum of interior angles of a ∆)

x + 164 = 180

x = 180 - 164 (subtraction property of equality)

x = 16°

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1.=6  2.=7.6 3.= 2.2 6.= 3.50

Step-by-step explanation:

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3. 14-65=51 51 divided by 23=2.2

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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
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