Answer:
Claim is true that most medical malpractice lawsuits are dropped or dismissed.
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.
To Find : Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.
Solution:
n = 799
x = 499
We will use one sample proportion test

We are given that the claim is most medical malpractice lawsuits are dropped or dismissed.
Probability of dropped or dismissed is 1/2

Formula of test statistic = 
=
= 7.038
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.
Answer:
centre = (- 3, - 2) , radius = 1
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )
x² + 6x + y² + 4y = - 12
Use the method of completing the square on the x and y terms
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4
(x + 3)² + (y + 2)² = 1 ← in standard form
with centre = (- (- 3), - (- 2)) and r² = 1, that is
centre = (- 3, - 2) and radius = 1
Step-by-step explanation:
❉ 
❉ 
Plug the value of x and simplify :
⟿ 
Add the numbers : 4 and 5
⟿ 
Multiply 7 by 9
⟿ 

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