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KonstantinChe [14]
2 years ago
7

A line intersects the points

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
5 0
Y= -x+1 because the slope is negative
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What is the product of 2x + y and 5x – y + 3?
VMariaS [17]

Step-by-step explanation:

Distribute:

=2x+(y)(5x)+(y)(−y)+(y)(3)

=2x+5xy+−y2+3y

Answer:

=5xy−y2+2x+3y

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3 0
3 years ago
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
BartSMP [9]

Answer:

The decision rule is  

Reject the null hypothesis  

Step-by-step explanation:

From the question we are told that

    The population mean is \mu =  5.6  \ pounds/inch^2

     The  sample size is  n =  160

      The sample mean is  \=  x =  5.7  \  pounds/ inch^2

     The variance is \sigma ^2 =  0.25

       The level of significance is  \alpha   =  0.01

The null hypothesis is  H_o  :  \mu  =  5.6

The alternative hypothesis is H_a :  \mu > 5.6

Generally the standard deviation is mathematically represented as

           \sigma =  \sqrt{\sigma ^2 }

=>         \sigma =  \sqrt{0.25  }  

=>         \sigma =  0.5  

Generally the test statistics is mathematically represented as

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

=>     z =  \frac{5.7  - 5.6  }{ \frac{0.5 }{\sqrt{ 160 }  } }  

=>     z =  2.53

From the z table  the area under the normal curve to the left corresponding to  2.53   is

        p-value =  P(Z >  2.53 ) =0.0057

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

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the believe  that the valve performs above the specifications is true

 

5 0
3 years ago
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