Answer:
The mean is 0.54 and the standard deviation is 0.0135.
Step-by-step explanation:
i) the mean of the sampling distribution is 0.54
ii) the mean for the sampling distribution, p = 0.54
iii) therefore for the sampling distribution, q = ( 1 - 0.54) = 0.46
iv) the sample size of the distribution, n = 1356
v)
Answer:
(x - 1)² + (y - 4)² = 25
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
here (h, k) = (1, 4), so
(x - 1)² + (y - 4)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 8)
r =
= =
=
= 5
Hence
(x - 1)² + (y - 4)² = 5², that is
(x - 1)² + (y - 4)² = 25 ← equation of circle