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3 years ago

Write an equation of the circle with center (8,-6) and radius 2

Mathematics

1 answer:

marishachu [46]3 years ago

6 0

Answer:

(x - 8)^2 + (y + 6)^2 = 4.

Step-by-step explanation:

The general equation is:

(x - a)^2 + (y - b)^2 = r^2.

Plugging in the given values:

(x - 8)^2 + (y - (-6))^2 = 2^2

(x - 8)^2 + (y + 6)^2 = 4.

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Solve. 4y - 3 = 5y + 2 Enter your answer in the box. y = O

strojnjashka [21]

Answer:

y=-5

Step-by-step explanation:

5 0

3 years ago

Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the

harkovskaia [24]

Answer:

z = 50.2802734375

Step-by-step explanation:

y = 15.5

y is 512 times x

z is 50.25 more than x

15.5/512 = 0.0302734375

x = 0.0302734375

0.0302734375 + 50.25 = 50.2802734375

z = 50.2802734375

3 0

2 years ago

A transformation that shifts or slides every point in a figure the same distance in the same direction is known as a _____.

suter [353]

It is known as a Translation

3 0

4 years ago

Read 2 more answers

a skyliner jumps out of an airplane. After 0.8 seconds she has fellen 100 feet.After 3.1 seconds she has fallen 500 feet. Emtiaz

zloy xaker [14]

Answer:

proportion:

0.8/100=1.5/x

by cross multiplication

0.8 x=150

x=187.5

his answer is reasonable.

Step-by-step explanation:

4 0

3 years ago

Reports on a student's ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is just the cum

Nimfa-mama [501]

Answer:

The percentile for William is 76.97.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the scors of a population, and for this case we know the distribution for X is given by:

$X \sim N(25.2,6.5)$

Where $\mu=25.2$ and $\sigma=6.5$

2) Solution to the problem

We are interested in find the percentile for the score of 30 obtained by William. The best way to solve this problem is using the z score formula given by:

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

And z follows a normal standard distribution. We can find the z scor for the score X=30 like this:

$z=\frac{30-25.2}{6.5}=0.738$

And now we can find the probability using excel or a table, on this way:

$P(Z$

And that means the 76.97 percentile since we have on the left of the score of 30, 0.7697 of the area on the left and 0.2303 of the area on the right.

So then the percentile for William is 76.97.

6 0

3 years ago