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maxonik [38]
3 years ago
5

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Mathematics
1 answer:
velikii [3]3 years ago
4 0

Equation of circle is:

x^2+y^2-6x+4y - 12 = 0

Further explanation:

We have to use the standard form of equation of a circle to find the equation of circle from given details

The general equation of circle is:

(x-h)^2+(y-k)^2=r^2

Given

Centre = (h,k) = (3, -2)

Radius = r = 5

Putting the values in the general equation

(x-3)^2+(y-(-2))^2 = (5)^2\\(x-3)^2+(y+2)^2 = 25\\(x^2-6x+9)+(y^2+4y+4) = 25\\x^2+y^2-6x+4y+9+4-25 = 0\\x^2+y^2-6x+4y - 12 = 0

Keywords: Circles, Equation of circle

Learn more about circles at:

  • brainly.com/question/13063819
  • brainly.com/question/8618791

#LearnwithBrainly

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Trials in an experiment with a polygraph include results that include cases of wrong results and cases of correct results. Use a
hram777 [196]

Answer and Step-by-step explanation:

This is a complete question

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80​% of the time. Identify the null​hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.

The computation is shown below:

The null and alternative hypothesis is

H_0 : p = 0.80

Ha : p < 0.80

\hat p = \frac{x}{ n} \\\\= \frac{74}{97}

= 0.7629

Now Test statistic = z

= \hat p - P0 / [\sqrtP0 \times (1 - P0 ) / n]

= 0.7629 - 0.80 / [\sqrt(0.80 \times 0.20) / 97]

= -0.91

Now

P-value = 0.1804

\alpha = 0.01

P-value > \alpha

So, it is Fail to reject the null hypothesis.

There is ample evidence to demonstrate that less than 80 percent of the time reports that these polygraph findings are accurate.

5 0
3 years ago
Y is directly related to X, and Yis 81 when X is 27.<br> The constant of variation is
Arisa [49]

Answer:

3

Step-by-step explanation:

A direct variation is of the form

y = kx

We know x and y so we can find k

81 = k *27

Divide each side by 27

81/27 = 27k/27

3=k

The constant of variation is 3

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3 years ago
A car travels 258 miles in 312 minutes at a constant speed. Which equation represents the distance, d, that the car travels in m
pashok25 [27]

Answer:

0.83 miles per minute

Step-by-step explanation:

The speed of the car can be found by dividing the distance by the time. THe distance is 258 miles and the time is 312 minutes.

s=\frac{d}{t} \\s=\frac{258}{312} \\s=0.83

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3 years ago
Classify the statement as true or false. Give a counter example, if it is false.
KATRIN_1 [288]
True. ex. 2 x 8 =16 16/2 = 8 
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A lady walks in the store and steals $100 bill from the register without the owners knowledge. She comes back 5 minutes later an
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$170
100+70 is your answer
7 0
3 years ago
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