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Alex777 [14]
2 years ago
9

the intersection of roads m and n creates a 41.4 angle. what are the complementary and supplementary angles of this intersection

?
Mathematics
1 answer:
MaRussiya [10]2 years ago
7 0
The complementary angle of this intersection is 48.6
The supplementary angle of this intersection is 138.6
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Use the elimination method to solve the system of equations. Choose the correct ordered pair. 4x + 8y = 16 4x - 8y = 0 A. (4, 2)
balu736 [363]
Adding both equations cancels y:

<span>4x + 8y = 16 
</span><span>4x - 8y = 0 
-----------------+
8x = 16 => x=2

filling in x=2 in the first equation gives:

4*2 + 8y = 16 => 8y = 8 => y=1

So (2,1) is the (x,y) pair that solves the two equations. Answer C.</span>
7 0
3 years ago
What is the slope of the line passing through<br> points (6, -1) and (1,8)?
Fynjy0 [20]

Answer:

-1.8

Step-by-step explanation:

m= y2 - y2over x2 - x1

m= -1 - 8 over 1 - 6 = -1.8

m= -1.8

7 0
2 years ago
(3x+4)^2=14 what are the solutions?
kherson [118]
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7 0
3 years ago
Sam runs 2 miles in 16 minutes. If Sam runs at the same rate, how far can he run in 64 minutes?
Pie

Answer:

8 miles

Step-by-step explanation:

Since

16 x 4 = 64

Therefore

2 x 4 = 8

8 miles

5 0
3 years ago
The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w
Marat540 [252]

Answer:

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

   The first  sample size is n_1   =  252

    The number that tested positive is  k_1  =  18

     The second sample size is  n_2   =  476

     The number that  tested positive is  k_2 =  20

     The level of significance is  \alpha  = 0.01

Generally the first sample proportion is mathematically represented as

      \^ p _1 =  \frac{k_1 }{ n_1 }

=>    \^ p _1 =  \frac{18 }{ 252 }

=>    \^ p _1 = 0.071

Generally the second sample proportion is mathematically represented as

      \^ p _2 =  \frac{k_2 }{ n_2 }

=>    \^ p _2 =  \frac{20 }{ 476}

=>    \^ p _2 = 0.042

The  null hypothesis is            H_o  :  p_1 - p_2 = 0

The alternative hypothesis is  H_a :  p_1 - p_2 \ne 0

Generally the test statistics is mathematically represented

       z =  \frac{ \^ p_1 - \^ p_2  -  ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1  } + \frac{\^ p_2 (1-\^ p_2)}{ n_2  }  } }

=>    z =  \frac{ 0.071 - 0.042  - 0 }{ \sqrt{\frac{0.071  (1-0.071)}{  252  } + \frac{0.042 (1-\^ 0.042)}{ 476  }  } }

=>    z =  1.56

From the z table  the area under the normal curve to the right corresponding to  1.56   is  

        P(Z >  1.56 ) =0.05938

Generally the p-value is mathematically represented as

         p-value =  2 * P(Z >  1.56 )

=>      p-value = 2 *  0.05938

=>      p-value = 0.1188

From the value obtained we see that   p-value  >  \alpha hence

  The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

 

5 0
2 years ago
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