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Hatshy [7]
3 years ago
15

if you prder two servings of pancakes and fruit cup the cost of the fruit cup is $1.50 and you leave a 15% tip your total bill i

s 11.50 how much does the sserving of pancakes cost
Mathematics
1 answer:
Sindrei [870]3 years ago
3 0

Both servings of pancakes cost $8.50

One serving of pancakes cost $4.35

Equation:   1.15 (2x + 1.50) = 11.50

                  2.3x + 1.725 + 11.50

                   2.3x = 9.725

                   x = 4.25 for one serving of pancakes

                   2x = 8.50 for both servings of pancakes

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Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
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24

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A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex
Olenka [21]

Answer:

a

 The  90% confidence interval that  estimate the true proportion of students who receive financial aid is

     0.533  <  p <  0.64

b

   n = 1789

Step-by-step explanation:

Considering question a

From the question we are told that

      The sample size is  n = 200

      The number of student that receives financial aid is k = 118

Generally the sample proportion is  

      \^ p = \frac{k}{n}

=>   \^ p = \frac{118}{200}

=>   \^ p = 0.59

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of \frac{\alpha }{2}  is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

 =>E =  1.645 * \sqrt{\frac{0.59 (1- 0.59)}{200} }

=>  E = 0.057

Generally 90% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

  =>  0.533  <  p <  0.64  

Considering question b

From the question we are told that

    The margin of error  is  E = 0.03

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of   is  

   Z_{\frac{\alpha }{2} } = 2.58

Generally the sample size is mathematically represented as      

        [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>      n = [\frac{2.58}{0.03} ]^2 * 0.59 (1 - 0.59 )

=>      n = 1789

8 0
3 years ago
Pls answer fast<br> (√3 + √11)² + (√3 - √11)²
Masja [62]

(√3 + √11)² + (√3 - √11)²

  • (a+b)² = a² + b² + 2ab
  • ( a - b )² = a² + b² - 2ab

<em>Now </em><em>,</em>

(√3 + √11)² + (√3 - √11)²

(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)

14 + 2√33+ 14 - 2√33

14 + 14 = 28

Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .

6 0
2 years ago
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