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Aleks [24]
3 years ago
13

Solve for t in scientific formula d=rt

Mathematics
1 answer:
yarga [219]3 years ago
3 0
The problem is: d=rt
you are solving for r

d=rt
--  --
t    t


you divide both sides by r, so your answer is:

d/t=r or r=d/t

I hope this helped! :))
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The national mean sales price for a new one-family home is $181,900. A sample of 40 one-family homes in the south showed a sampl
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Answer:

a

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d

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Step-by-step explanation:

From the question we are told that

   The  population mean is  \mu  =  \$ 181, 900

    The  sample size is  n =  40

    The  sample  mean is  \=  x  =  \$ 166,400

      The  sample  standard deviation is s= \$ 33, 500

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

 

Generally the test statistics is mathematically represented as

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

=>    t =  \frac{  166400  - 181900 }{ \frac{33500}{\sqrt{40} } }

=>    t = -2.92

Generally the p-value is obtain from the z-table  the value is  

      p-value  =  P(Z < t ) = P(Z  <  -2.93) = 0.0016948

=>    p-value  =  0.0016948

From the calculation we see that  

     p-value  >  \alpha  hence we fail to reject the null hypothesis

Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

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