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defon
3 years ago
15

Given the equation of the circle, identify the coordinates of the center. (x+2)2+(y-6)2=49

Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

(-2, 6)

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

In this case, the center is (-2, 6).

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The data given in the question is:

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Standard Deviation (σ) = 4

Let X denote the height of men. We will use the normal distribution z-score formula to calculate the z-score and then look up the probability in the normal probability distribution table. The z-score formula is:

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z = (66-68.4)/4

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The probability that his height is less than 66 inches is 0.2743.

(b) P(66<X<71)  = P(X<71) - P(X<66)

We need to find P(X<71) so, calculating the z-value:

z = (71-68.4)/4

z = 0.65

P(z<0.65) = 0.7422

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P(66<X<71)  = 0.4679

The probability that the height is between 66 and 71 inches is 0.4679.

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P(X>71) = 1 - P(X<71)

            = 1 - 0.7422

P(X>71) = 0.2578

The probability that the height is more than 71 inches is 0.2578.

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