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shepuryov [24]
2 years ago
13

Two car-rental agencies are competing for business. Mertz charges $35 a day and $0.15 per mile, and Mavis charges $20 a day and

$0.45 per mile. a. Write an equation that represents the charges to rent a car at each agency.
Mathematics
1 answer:
Nata [24]2 years ago
6 0
Well we overall have two different equations we can make here with two different variables. If 35 & 20 were to be our daily charge, and y is our per mile charge, we can infer that x times y is equal to our overall car-rental price, so if we set it out correctly, our equations should be
35 x (y).15 =
20 x (y).45 = 
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Express the confidence interval 0.555 less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
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Complete Question

Express the confidence interval 0.555 less than p less than  0.777 in the form Modifying above p with caret plus or minus Upper E.

Answer:

The modified representation is \r p \pm  E  = 0.666 \pm  0.111

Step-by-step explanation:

From the question we are told that

    The  confidence interval interval is  0.555 <  p <  0.777

Now looking at the values that make up  the up confidence interval we see that this is a symmetric  confidence interval(This because the interval covers 95%  of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail  as shown on the figure in the first uploaded image(reference - Yale University ) ) which means

     Now  since the confidence interval is  symmetric , we can obtain the sample proportion as follows

             \r p  =  \frac{0.555 + 0.777}{2}

            \r p  =0.666

Generally the margin of error is mathematically represented as

            E  =  \frac{1}{2}  *  K

Where  K is the length of the confidence interval which iis mathematically represented as

           K  =  0.777 -0.555

         K  = 0.222

Hence  

          ME  =  \frac{1}{2}  *  0.222

           ME  =  0.111

So the confidence interval can now be represented as

        \r p \pm  E  = 0.666 \pm  0.111

     

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