Answer:
(x + 3)^2 + (y - 5)^2 = 17
Step-by-step explanation:
To find the radius: distance from point (-2,1) to the center from point (-3,5).
d = sqrt [(-2 - -3)^2 + (1 -5)^2]
d = sqrt [(-2 + 3)^2 + (1 -5)^2]
d = sqrt (1)^2 + (-4)^2 = sqrt 17
Radius = sqrt 17
Equation of the circle:
(x - h)^2 + (y - k)^2 = r^2
h = 3, k = 5, r = sqrt 17
(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2
(x + 3)^2 + (y - 5)^2 = 17
Answer: 0.4667
Step-by-step explanation:
According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean (
).
Here , margin of error = 3s , where s is standard deviation.
As per given , we have want our sample mean
to estimate μ μ with an error of no more than 1.4 point in either direction.
If 99.7% of all samples give an
within 1.4 , it means that

Divide boths ides by 3 , we get

Hence, So
must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an
within 1.4 point of μ .
put it into an equation..
15+5v
sum is addition and product is multiplication
Answer: D) 18
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Explanation:
|-11| simplifies to 11
|-7| simplifies to 7
Whatever is inside the absolute value, you just remove the negative and that's the result of that absolute value expression. It represents the distance on a number line. So for instance -11 is 11 units from 0, which is why |-11| = 11.
Overall,
|-11| + |-7| = 11 + 7 = 18