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Korolek [52]
3 years ago
9

Which set of angle measures could be the interior angles of a triangle?

Mathematics
1 answer:
andriy [413]3 years ago
5 0

Answer:

d. 15, 30, 135

Step-by-step explanation:

A triangle's interior angles on a flat surface add up to 180 degrees.

a. 90 * 3 = 270 != 180

b.(80 * 2) + 200 = 360 != 180

c.40 + 50 + 60 = 160 != 180

d.15 + 30 + 135 = 45 + 135 = 180, so it has to be d.

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Answer:

3 3/5 =x

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Step-by-step explanation:

6/5 = x/3

Use cross products

6*3 = 5*x

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18/5 = 5x/5

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3 years ago
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Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. Fo
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Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  14

    The correlation is  r =  0.65

     

The  null hypothesis is  H_o :  r <  0

The  alternative hypothesis is  H_1 :  r > 0

Generally the standard deviation is mathematically evaluated as

       Sr =  \sqrt{1- r}

       Sr =  \sqrt{1- 0.65}

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The  degree of freedom for the one-tail test is

       df =  n- 2

        df =  14- 2

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The standard error is evaluated as

        SE  =  \frac{0.616}{ \sqrt{12} }

        SE  =0.1779

The test statistics  is evaluated as

      t =  \frac{r }{SE}

       t =  \frac{0.65 }{0.1779}

        t =  3.654

The p-value of of  t is obtained from the z table, the value is  

        p-value =  P(t <  3.654) =  0.00012909

Given that p-value  <  \alpha  then we reject the null hypothesis

           Hence the company can conclude that the correlation is positive

     

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3 years ago
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Step-by-step explanation:

16.058−1.2

=16.058−1.2

=16.058+−1.2

=14.858

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