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SOVA2 [1]
4 years ago
14

9. (12 pts) daniel is paying $600 for his auto insurance, and he is wondering if he is overpaying compared to his friends. he se

nt an email to all his friends in his contact list, and 9 of them replied with their paid amount. suppose the 9 friends who replied are a random sample, and the paid amount for auto insurance has approximately a normal distribution. (1) (2pts) what are the sample and population of the study? (2) (8 pts) use appropriate inference procedure to help daniel find out if he is overpaying compared to his friends. (3) (2pts) based on your conclusion in (2), what type of error is could you commit? explain the error using context words.

Mathematics
1 answer:
Karolina [17]4 years ago
7 0

Answer:

Step-by-step explanation:

1) The sample and the population of this study is the friends who replied his email which includes in his contact list. then, the number of the replied to his email are 9 friends.

population: the whole friends include in his contact list.

3) Type I error occurs when one incorrectly rejects the null hypothesis

Here there is possibility of type I error

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2.29 ft of side length and 1.14 height

Step-by-step explanation:

a) Volume V = x2h, where x is side of square base and h is hite.

Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

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value of x is: x=\frac{-31}{12}

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where f(x)=(\frac{1}{2})^2-3

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Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}

So, value of x is: x=\frac{-31}{12}

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

  • brainly.com/question/10772025
  • brainly.com/question/4939434
  • brainly.com/question/2723982
  • brainly.com/question/1774827

#learnwithBrainly

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