(Solving 1 Step Equations)
2 answers:
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Answer:
Correct options:
(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
Step-by-step explanation:
If the circle has a center at (8,9), the equation for this circle is:
All concentric circles have the same center, so their equations need to have the same left side of the equation above.
-> x2 + y2 = 25
This circle has a center at (0,0), so it's not concentric to our circle.
-> (x – 8)² + (y – 9)² = 3
This circle has a center at (8,9), so it's concentric to our circle.
-> (x – 8)² + (y – 9)² = 14
This circle has a center at (8,9), so it's concentric to our circle.
-> (x – 8)² + (y + 9)² = 3
This circle has a center at (8,-9), so it's not concentric to our circle.
-> (x + 8)² + (y + 9)² = 25
This circle has a center at (-8,-9), so it's not concentric to our circle.
-> (x + 9)² + (y + 8)² = 3
This circle has a center at (-8,-9), so it's not concentric to our circle.
Correct options:
(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
Answer:
His 95% confidence interval is (0.065, 0.155).
Step-by-step explanation:
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 zscore that has a pvalue of .
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
His 95% confidence interval is (0.065, 0.155).
Answer:
18.84
Step-by-step explanation:
Since the formula for circumference is , we need to first find the radius. The formula for the radius is
, so we will get
. Substitute that into
, and we get
. Hope this helps!