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Answer:
(x + 5)² + (y + 7)² = 288
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
The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)
r = =
=
Hence
(x - (- 5))² + (y - (- 7))² = ()², that is
(x + 5)² + (y + 7)² = 288
Answer: 0.9746
Step-by-step explanation:
Given : A normally distributed population has a mean of 250 pounds and a standard deviation of 10 pounds.
i.e.
Sample size : n= 20
Let sample mean values.
Then, the probability that this sample will have a mean value between 245 and 255 be
Hence , the probability that this sample will have a mean value between 245 and 255 is 0.9746 .