Given:
The center of the circle = (-1,0)
Point on the circle = (2,-4).
To find:
The equation of the circle.
Solution:
Distance between two points is
Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.
On further simplification, we get
Now, the equation of the circle is
Where, (h,k) is the center and r is the radius of the circle.
The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is
Therefore, the first option is correct, i.e., .
Answer: 0.49 ± 0.0237
Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:
± z.
is the proportion:
= 
= 0.49
For a 99% confidence interval, z = 2.576:
0.49 ± 2.576.
0.49 ± 2.576.
0.49 ± 2.576.(0.0092)
0.49 ± 0.0237
For a <u>99% confidence interval</u>, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237
The value of n in the given equation is -2.6
Step-by-step explanation:
Given,
10 = 
To find the value of n
10 =
or, 10(3n+8) = 2 [ by cross multiplication]
or, 30n + 80 = 2
or, 30n = 2-80 [ taking the constant values in one side]
or, 30n = -78
or, n = 
or, n = -2.6
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The equation can be rewritten to ...
8x = 13n +4 . . . . for some integers x and n
x = (13n +4)/8
For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.
x = (13·4 +4)/8 = 56/8
x = 7
__
The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.
To find the answer we simply have to find 12% of 58,800. So to do that, we can multiply it by .12
58,800 • .12 = 7,056
So $7,056 is earned per year
