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Rzqust [24]
3 years ago
8

Solve the equation. 19 + n = 30 19+n=3019, plus, n, equals, 30 n = n=

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

n =11

Step-by-step explanation:

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Vector u has its initial point at (-7,2) and it's terminal point at (11,-5). Vector v has a direction opposite that of vector u,
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3\vec{v}  = ( - 21,54)

Step-by-step explanation:

\vec{u}  =   (18,- 7)\Rightarrow  \vec{v}  = ( - 7,18) \Rightarrow  3\vec{v}  = ( - 21,54)

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Step-by-step explanation:

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The combined ages of megan and kyle are 27. if kyle is twice as old as megan, how old is kyle.
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Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of
Deffense [45]

Complete Question

It has been found from experience that the mean breaking strength of a particular brand of thread is 9.72 oz with a standard deviation of 1.4 oz. Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?

Answer:

At both \alpha = 0.05 and  \alpha  =  0.01  the conclusion is that the thread has become inferior

Step-by-step explanation:

From the question we are told that

      The population  mean is  \mu =  9.72 \ oz

      The standard deviation is  \sigma  = 1.40\  oz

       The sample size  is  n =  36

        The sample mean is  \= x  =  8.93 \ oz

The  null hypothesis is  H_o  :  \mu =  9.72 \  oz

The  alternative hypothesis is  H_a  :  \mu <  9.72 \ oz

     Generally the test statistics is mathematically represented as

             t =  \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }

=>        t =  \frac{ 8.93 -9.72}{ \frac{ 1.4 }{ \sqrt{36} } }

=>      t = -3.33

So  

    The  p-value obtained from the z- table is  

            p-value  =  P( Z  <  -3.39) = 0.00034946

So at  \alpha  =  0.0 5

     p-value  <  \alpha

So we reject the null hypothesis,hence we conclude that the thread has become inferior

  So at  \alpha  =  0.0 1

     p-value  <  \alpha

So we reject the null hypothesis,hence we conclude that the thread has become inferior

5 0
3 years ago
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