1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Taya2010 [7]
3 years ago
8

Give the center, radius, and equation of the circle in the graph.

Mathematics
1 answer:
dexar [7]3 years ago
3 0

Answer:

(x-2)^2+(y+3)^2=4

Step-by-step explanation:

  • A circle's equation consist on the following expression: (x-a)^2+(y-b)^2=r^2, where r is the magnitude of the radio, and (a,b) are the coordenates of the center of the circle.
  • In this case, a=2 and b= - 3, because the circle is centered in (x,y)=(2, - 3).
  • The radio, which is the distance between the center of the radio to any point in its border, equals r=2 (because of the scale of the graphic, in this case two squares of the grid equal 2 units, then r=2).
  • Finally, using the previous information to replace in the equation (x-2)^2+(y+3)^2=4, where the fact that r=2 and 2^2=4 was used.
You might be interested in
Mr. Harris works in a pet store. The number of food pellets he puts in an aquarium is proportional to the number of fish in the
Elis [28]

Answer:

5 pellets per fish

Step-by-step explanation:

5 p = 1 f

8 0
2 years ago
A professional baseball team won 84 games.The team won 14 more games than it lost.There were no ties.How many games did the team
babunello [35]
Hello There!

Games won = 84
Games lost = 84 - 14
Games lost = 70
Total games played = games lost + games lost
Total games played = 84 + 70
Total games played = 154.

They played 154 games and lost 70 games.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
7 0
3 years ago
PLS HELP<br> Solve the equation for a. Show your work. <br> 4a-14=7a-8
OLEGan [10]
A=-2 Im attaching a picture with the steps

7 0
2 years ago
Read 2 more answers
"A manufacturer of automobile batteries claims that the average length of life for its grade A battery is 55 months. Suppose the
STALIN [3.7K]

Answer:

\\ P(z>-2) = 0.97725 or P(x>49) is about 97.725% (or being less precise 97.5% using the <em>empirical rule</em>).

Step-by-step explanation:

We solve this question using the following information:

  1. We are dealing here with <em>normally distributed data</em>, that is "<em>the frequency distribution of the life length data is known to be mound-shaped</em>".
  2. The normal distribution is defined by two parameters: the population mean (\\ \mu) and the population standard deviation (\\ \sigma). In this case, we have that \\ \mu = 55 months, and \\ \sigma = 3 months.
  3. To find the probabilities, we have to use the <em>standard normal distribution</em>, which has \\ \mu = 0 and \\ \sigma = 1. The probabilities for this distribution are collected in the <em>standard normal table</em>, available in Statistics books or on the Internet. We can also use statistics programs to find these probabilities.
  4. For most cases, we need to use the <em>cumulative standard normal table, </em>and for this we have to previously "transform" a raw score (x) into a z-score using the next formula: \\ z = \frac{x - \mu}{\sigma} [1]. A z-score tells us the distance from the mean that a raw score is from it in <em>standard deviations units</em>. If this value is <em>negative</em>, the raw score is <em>below</em> the mean. Conversely, a <em>positive</em> value indicates that it is <em>above</em> the mean.
  5. The <em>cumulative standard normal table </em>is made for positive values of z. Since the normal distribution is <em>symmetrical</em> around the mean, we can find the negative values of z using this formula: \\ P(z [2].

Having all this information, we can solve the question.

<h3>The percentage of the manufacturer's grade A batteries that will last more than 49 months</h3>

<em>First Step: Use formula [1] to find the z-score of the raw score x = 49 months</em>.

\\ z = \frac{49 - 55}{3}

\\ z = \frac{-6}{3}

\\ z = -2

This means that the raw score is represented by a z-score of \\ z = -2, which tells us that it is<em> two standard deviations below</em> the population mean.

<em>Second Step: Consult this value in the cumulative standard normal table for z = 2 and apply the formula [2] to find the corresponding probability.</em>

For a z = 2, the probability is 0.97725.  

Then

\\ P(z

\\ P(z2)

\\ P(z2)

But we <em>are not asked</em> for P(z<-2) but for P(z>-2) = P(x>49). This probability is the <em>complement</em> of the previous result, that is

\\ P(z>-2) = 1 - P(z

\\ P(z>-2) = 1 - 0.02275

\\ P(z>-2) = 0.97725

That is, the "<em>percentage of the manufacturer's grade A batteries will last more than 49 months</em>" is

\\ P(z>-2) = 0.97725 or about 97.725%

A graph below shows this result.

Notice that if we had used the <em>68-95-99.7 rule</em> (also known as the <em>empirical rule</em>), that is, in a normal distribution, the interval between <em>one standard deviation below and above the mean</em> contains, approximately, 68% of the observations; the interval between <em>two standard deviations below and above the mean</em> contains, approximately, 95% of the observations; and the interval between <em>three standard deviations</em> below and above the mean contains, approximately, 99.7% of the observations, we could have concluded that 2.5 % of the manufacturer's grade A batteries will last <em>less</em> than 49 months, and, as a result, 1 - 0.025 = 0.975 or 97.5% will last more than 49 months.

We can conclude that with a less precise answer (but faster) because of the <em>symmetry of the normal distribution</em>, that is, 1 - 0.95 = 0.05. At both extremes we have 0.05/2 = 0.025 or 2.5% and we were asked for P(x>49) = P(z>-2) (see the graph below).

6 0
3 years ago
How Many Solutions?<br> 3x - 7 = 3(x - 3) + 2<br> No Solution<br> One Solution<br> Infinite Solution
prisoha [69]

Answer:

Infinite Solutions

Step-by-step explanation:

3x-7=3x(x-3)+2

3x-7=3x-9+2 - Distributive Property

3x-7=3x-7 - adding the right side together

3 0
3 years ago
Other questions:
  • The difference between a number x and 12 is 16?
    9·1 answer
  • The grades on a statistics test are normally distributed with a mean of 62 and Q1=52. If the instructor wishes to assign B's or
    5·1 answer
  • Is 3/5 proportional
    14·1 answer
  • 1. 3+(-8)=
    8·1 answer
  • My question is the picture
    11·1 answer
  • When the focus and directrix are used to derive the equation of a parabola, two distances were set equal to each other. = StartR
    15·1 answer
  • PONTOS GRATIS BRASIL ​
    10·2 answers
  • Who tryna okay among us??
    9·2 answers
  • How many solutions does this equation have? 7a + 5 (a+3) = 8a + 4 (a+2)
    9·1 answer
  • Please help me asap!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!