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Katen [24]
3 years ago
11

Maribel is having a pizza party for her friends. Each pizza costs $12. Maribel only has $108 saved for the pizza party. C=12p is

the cost for pizzas, p, ordered. Find the domain and range of the function.
Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0

Answer:

12 pizzas were ordered and Maribel only has 108 dollars.

12x12=144, 144-108=36, meaning that Maribel needs 36 more dollars for the whole number of pizzas. She could only get 9 pizzas instead of 12 because 12x9=108.

Step-by-step explanation:

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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
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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

 

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Step-by-step explanation:

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Answer:

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