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kirill [66]
2 years ago
7

Solve.

Mathematics
1 answer:
Nat2105 [25]2 years ago
7 0

The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>

Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:

−0.4x − 3.1 = 5.9

  • Add 3.1 to both sides

−0.4x − 3.1 + 3.1 = 5.9 + 3.1

-0.4x = 9

  • Divide both sides by -0.4

-0.4x/-0.4 = 9/-0.4

x = -22.5

Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/16864747

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Answer:

a) The 99% confidence interval is given by (0.198;0.242).

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Step-by-step explanation:

<em>Data given and notation   </em>

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p_o=0.24 is the value that we want to test

\alpha represent the significance level  

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  <em> </em>

<em>Concepts and formulas to use   </em>

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Null hypothesis:p=0.24  

Alternative hypothesis:p \neq 0.24  

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z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

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Part a: Test the hypothesis

<em>Check for the assumptions that he sample must satisfy in order to apply the test   </em>

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.  

b) The sample needs to be large enough

np = 2362x0.22=519.64>10 and n(1-p)=2364*(1-0.22)=1843.92>10

Condition satisfied.

<em>Calculate the statistic</em>  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.22 -0.24}{\sqrt{\frac{0.24(1-0.24)}{2362}}}=-2.28

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The critical value using \alpha=0.01 and \alpha/2 =0.005 would be z_{\alpha/2}=2.58. Replacing the values given we have:

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Part c

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