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gizmo_the_mogwai [7]
3 years ago
9

Part A: Explain how you will solve this pair of equations using substitution. Show all the steps and write the solution. (5 poin

ts)
Part B: On a graph, what point will the lines representing the two equations intersect? Explain your answer. (5 points)

y = 16x + 4
y = 25x − 23
Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

y = 16x + 4

y = 25x - 23              

____________

16x + 4 = 25x - 23

27 = 9x

3=x

__________

y = 25(3) - 23

y = 75 - 23

y = 52

_________

They will intersect at (3, 52)

Step-by-step explanation:

The second step which is bolded I simplified the equation. In the next step I'm going to substitute 3 into the second equation.

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Step-by-step explanation:

Given :In a study of 799 randomly selected medical malpractice​ lawsuits, it was found that 499 of them were dropped or dismissed.

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n =  799

x = 499

We will use one sample proportion test  

\widehat{p}=\frac{x}{n}\\\widehat{p}=\frac{499 }{ 799}\\\widehat{p}=0.6245

We are given that the claim is most medical malpractice lawsuits are dropped or dismissed.

Probability of dropped or dismissed is 1/2

 H_0:p=0.5\\H_a:p>0.5

Formula of test statistic = \frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

                                        =\frac{0.6245-0.5}{\sqrt{\frac{0.5(1-0.5)}{799}}}

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p value (z>7.038) is 0

α =0.05

So, p value < α

So, we reject the null hypothesis

So,claim is true

Hence most medical malpractice lawsuits are dropped or dismissed.

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