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Nat2105 [25]
4 years ago
12

Find the radius of the circle if the center is at (1,2) and the point (-5,-6) lies on the circle

Mathematics
2 answers:
Tju [1.3M]4 years ago
5 0

Answer:

sqrt{52}=r

Step-by-step explanation:

The equation of a circle has the following form:

where (h,k) is the center of a circle with radius r.

Our equation is:

We will find the radius by inputting the point (-5,6) which lies on the circle and solving for r.

Read more on Brainly.com - brainly.com/question/11831904#readmore

padilas [110]4 years ago
4 0

Answer:

sqrt{52}=r

Step-by-step explanation:

The equation of a circle has the following form:

where (h,k) is the center of a circle with radius r.

Our equation is:

We will find the radius by inputting the point (-5,6) which lies on the circle and solving for r.

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3 years ago
The data to the right represent the weights​ (in grams) of a random sample of 50 candies. Complete parts​ (a) through​ (f). 0.92
Inessa05 [86]

Answer:

0.069

Step-by-step explanation:

The given data set is

0.92, 0.87, 0.88, 0.82, 0.82, 0.87, 0.97, 0.86, 0.89, 0.84, 0.81, 0.88, 0.77, 0.86, 0.93, 0.84, 0.72, 0.82, 0.74, 0.83, 0.93, 0.75, 0.79, 0.91, 0.84, 0.91, 0.88, 0.88, 0.83, 0.78, 0.99, 0.81, 0.78, 0.75, 0.82, 0.76, 0.82, 0.87, 0.91, 0.77, 0.72, 0.94, 0.71, 0.73, 0.81, 0.81, 0.86, 0.93, 0.93, 0.82.

Formula for mean:

Mean=\frac{\sum x}{n}

Sum of all terms = 41.98

Mean of the data set is

Mean=\frac{41.98}{50}

Mean=0.8396

Formula for standard deviation for population:

\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n}}

Formula for standard deviation for sample:

\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n-1}}

\sigma=\sqrt{\frac{0.231792}{50-1}}

\sigma=\sqrt{0.004730449}

\sigma=0.06877826

\sigma\approx 0.069

Therefore, the standard deviation of the data set is 0.069.

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