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3 years ago

What is the equation of a circle with center (2, -5) and radius 4?

2 answers:

8 0

$Equation\ of\ circle\\\\\
r^2=(x-a)^2+(y-b)^2\\\\
a,b- \ coordinates\ of\ center\ of\ circle\\\\\
(a,b)=(2,-5)
\\\\ r-\ radius\\\\
r=4\\\\Solution:\ 4^2=(x-2)^2+(y+5)^2\\\\\

$

Anna35 [415]3 years ago

4 0

$(x-h)^2+(y-k)^2=r^2\\\\
(x-2)^2+(y+5)^2=16$

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2 years ago

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snow_tiger [21]

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Step 1: Distribute

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3 years ago

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lesya692 [45]

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The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Jeannie should leave her office 55 minutes early.

Step-by-step explanation:

Let X = time it requires Jeannie to catch her plane.

The random variable X is normally distributed, $N(46, 5)$ .

Compute the probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour as follows:

$P(X>60)=P(\frac{X-\mu}{\sigma} >\frac{60-46}{5} )\\=P(Z>2.8)\\=1-P(Z$

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Now, it is provided that Jeannie has 96% chance of catching her flight if she reaches under x minutes.

That is, P (X < x) = 0.96.

Compute the value of x as follows:

$P(X$

**Use the z-table to compute the value of z.

The value of z is 1.751.

Compute the value of x as follows:

$z=\frac{x-46}{5}\\ 1.751=\frac{x-46}{5}\\x=46+(1.751\times5)\\=54.755\\\approx 55$

Thus, Jeannie should leave her office 55 minutes early.

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3 years ago