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Westkost [7]
3 years ago
7

Given that the endpoints of a diameter are (7,-3) and (-1,7), determine the equation of the circle.

Mathematics
2 answers:
Arturiano [62]3 years ago
8 0

Answer:

The equation of the circle is written as:

(x-h)²+(y-k)²=r²

'h' and 'k' are the x and y coordinates of the center of the circle and 'r' is the radius.

You are given that the diameter coordinates, so find the halfway point for the center then calculate the radius

Midpoint  = ( \frac{x_1 + x_2  }{2}, \frac{y_1 + y_2}{2} ) \\  = ( \frac{7 + ( - 1)}{2} , \frac{ (- 3 )+ 7}{2} ) \\  = ( \frac{6}{2} ,\frac{4}{2} ) = (3,2)

So, h=3 and k=2

Now find the radius by finding the distance between the center point and the end point.

Distance=√{(7-3)²+(-3-2)²}=√{(4)²+(-5)²} =√{16+25}=√41

Equation of the circle:

(x-3)²+(y-2)²=41 ✓

Margaret [11]3 years ago
5 0

The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^r

H and k are the x and y coordinates of the center of the circle and r is the radius.

You are given the diameter coordinates so find the halfway point for the center then calculate the radius

Midpoint = (x1 +x2)/2, (y1 + y2)/2

Midpoint = (7 + -1)/2, (-3 +7)/2

Midpoint = 6/2, 4/2

Midpoint = 3,2

So h = 3 and k = 2

Now find radius by finding the distance between the center point and an end point.

Distance = sqrt(41)

Equation of the circle:

(X-3)^2 + (y-2)^2 = 41

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Dovator [93]

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

<h3>What is meant by normal distribution?</h3>

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

<h3>What does a large sample confidence interval for  a population mean?</h3>

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

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brainly.com/question/23418254

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8 0
1 year ago
The cost for hiring a car for 2 days in 2018 was Rs. 264 which was 20% more than in 2013. What was the cost of hiring a car for
Goshia [24]

The cost of hiring a car for 2 days in 2013 is Rs. 316.8

<h3>How to find the cost of hiring in 2013 ?</h3>

The cost for hiring a car for 2 days in 2018 was Rs. 264 which was 20% more than in 2013.

Therefore,

cost of hiring for 2018 = Rs. 264

Therefore,

let

cost of hiring in 2013 = 20%(264) + 264

cost of hiring in 2013 = 20 / 100 × 264 + 264

cost of hiring in 2013 = 1 / 5 × 264 + 264

cost of hiring in 2013 = 264 / 5 + 264

cost of hiring in 2013 = 52.8 + 264

cost of hiring in 2013 = 316.8

Therefore, the cost of hiring a car for 2 days in 2013 is Rs. 316.8.

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7 0
2 years ago
PLEASE HELP! I will award brainliest!!!!
Mars2501 [29]

Answer:

A, B, C

Step-by-step explanation:

The top right corner is the positive side of the graph. If it goes below the X axis or to left of the Y axis, it is negative. (thus, the negative numbers)

6 0
3 years ago
(7c) (-1) what is the answer I have no clue
N76 [4]

Answer:

-7c

Step-by-step explanation:

8 0
3 years ago
30 2/9x3= 50 5/8 plz, plz, Thanks
9966 [12]

Answer:

141.291667 or about 141

Step-by-step explanation:

4 0
3 years ago
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