What error, if any, did Noah make?

Point A(3,2) is on a circle whose center is C(−2,3). What is the equation of the circle? Graph it.

Ronch [10]

Answer:

(x+2)² + (y-3)² = 26

The graphic is showed below

Step-by-step explanation:

The circle equation is given by the expression:

(x-a)² +(y-b)² = r²

The point (a,b) represents the center, and r is the radius. So:

(x+2)² + (y-3)² = r²

If the point A (3,2) is on the circle, then we can replace it in the equation to find r:

(3+2)² + (2-3)² = r²

r² = 5² + (-1)²

r² = 25 + 1

r² = 26

So, the circle has radius r = √26, and the equation is:

(x+2)² + (y-3)² = 26

To graph it, we must put the center C(-2,3), then the radius r = √26 and form a circle, like the figure below.

5 0

4 years ago

F(x) = X + 8/x^2+10x+16

zaharov [31]

The answer is

Xmin= -10

Xmax= 10

Ymin= -10

Ymax= 10

3 0

3 years ago

After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $27,175 (U.S. Ne

Arte-miy333 [17]

Using the normal distribution and the central limit theorem, it is found that:

a) The standard deviation is of $955.34.

b) 0.5 = 50% probability that the sample mean will be more than $27,175.

c) There is a 0.2938 = 29.38% probability that the sample mean will be within $1,000 of population mean.

d) There is a 0.177 = 17.7% probability that the sample mean will be within $1,000 of population mean.

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

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The average is of $27,175, hence $\mu = 27175$ .

The population standard deviation is of $7,400, hence $\sigma = 7400$ .

A sample of 60 students is taken, hence $n = 60$ .

Item a:

$s = \frac{\sigma}{\sqrt{n}} = \frac{7400}{\sqrt{60}} = 955.34$

The standard deviation is of $955.34.

Item b:

This probability is 1 subtracted by the p-value of Z when X = 27175, hence:

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

By the Central Limit Theorem

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

$Z = \frac{27175 - 27175}{0}$

$Z = 0$

$Z = 0$ has a p-value of 0.5.

1 - 0.5 = 0.5

0.5 = 50% probability that the sample mean will be more than $27,175.

Item c:

$Z = \frac{1000}{s}$

$Z = \frac{1000}{955.34}$

$Z = 1.05$

The probability is P(|Z| > 1.05), which is 2 multiplied by the p-value of Z = -1.05.

Looking at the z-table, Z = -1.05 has a p-value of 0.1469.

2 x 0.1469 = 0.2938

There is a 0.2938 = 29.38% probability that the sample mean will be within $1,000 of population mean.

Item d:

Sample of 100, hence $n = 100, s = \frac{7400}{\sqrt{100}} = 740$

$Z = \frac{1000}{s}$

$Z = \frac{1000}{740}$

$Z = 1.35$

Z = -1.35 has a p-value of 0.0885.

2 x 0.0885 = 0.177

There is a 0.177 = 17.7% probability that the sample mean will be within $1,000 of population mean.

To learn more about the normal distribution and the central limit theorem, you can take a look at brainly.com/question/24663213

6 0

2 years ago

Design the image of UAE Mars mission-rocket in the following graph sheet and write

Minchanka [31]

i hope these 3 images helps

6 0

3 years ago

a 20 ft piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the sh

oee [108]

Longer piece is 15 and shorter piece is 5

5 0

4 years ago