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Which is the general form of the equation of the circle shown? x2 + y2 + 4x – 2y – 4 = 0 x2 + y2 + 4x – 2y + 2 = 0 x2 + y² – 4x

Lunna [17]

The equation of a circle with center at point (h, k) and radius of r units is given by
$(x-h)^{2} +(y-k)^2=r^2$

From the diagram, the center of the given circle is at points (-2, 1) and the radius is 3 units.

Therefore, the equation of the given by
$\left(x-(-2)\right)^2+(y-1)^2=3^2 \\ \\ (x+2)^2+(y-1)^2=9 \\ \\ x^2+4x+4+y^2-2y+1=9 \\ \\ x^2+y^2+4x-2y+5-9=0 \\ \\ x^2+y^2+4x-2y-4=0$

3 0

3 years ago

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According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume t

Ad libitum [116K]

Answer:

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean income and $\sigma$ is the standard deviation of incomes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu$ , standard deviation $\sigma$

What is the probability that a household in Maryland has an annual income of X or more?

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean income and $\sigma$ is the standard deviation of incomes.

6 0

3 years ago

Simplify 16a divided by 4ab

zimovet [89]

Answer:

4b^-1

Step-by-step explanation:

16a/4 = 4a

4a/a = 4

4/b = 4b^-1

5 0

3 years ago