What is the center and radius of the circle? * (x - 2)² + (y – 9)^2= 4
1 answer:
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Using the z-distribution, we have that:
a) A sample of 601 is needed.
b) A sample of 93 is needed.
c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which z is the z-score that has a p-value of .
The margin of error is:
95% confidence level, hence, z is the value of Z that has a p-value of
, so
.
For this problem, we consider that we want it to be within 4%.
Item a:
- The sample size is <u>n for which M = 0.04.</u>
- There is no estimate, hence
Rounding up:
A sample of 601 is needed.
Item b:
The estimate is , hence:
Rounding up:
A sample of 93 is needed.
Item c:
The closer the estimate is to , the larger the sample size needed, hence, the correct option is A.
For more on the z-distribution, you can check brainly.com/question/25404151
Answer: ( 11, -2 )
Step-by-step explanation:
The mid point of a line is calculated using the formula:
M = ( ,
)
From the question , the mid point is already given , substituting , we have :
(5 , - 7.5 ) = ( ,
)
Equating the x component to x and the y component to y , we have
5 =
x - 1 = 10
x = 11
Also
- 7.5 =
-15 = y - 13
-15 + 13 = y
Therefore : y = -2
Therefore : the location of point P is ( 11, -2 )