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Ugo [173]
2 years ago
12

Which equation is the equation of a circle with a diameter of 20 cm and center at (-3, 6)?

Mathematics
1 answer:
larisa86 [58]2 years ago
5 0
The equation of a circle with centre (a,b) and radius r is:
(x - a)^2 + (y - b)^2 = r^2
thus,
here centre (a,b) = (-3,6), a = -3, b = 6
and radius  = diameter/2 = 20/2 =10 units
therefore, the equation is
(x + 3)^2 + (y - 6)^2 = 100
which is c.

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earnstyle [38]

Answer:

1. (x,y)→(y,-x)

2. (x,y)→(-y,x)

3. (x,y)→(-x,-y)

Step-by-step explanation:

1. Rotation 90° clockwise (or 270° counterclockwise) about the origin changes x into y and y into -x, so it has the rule

(x,y)→(y,-x)

2.  Rotation 90° counterclockwise (or 270° clockwise) about the origin changes x into -y and y into x, so it has the rule

(x,y)→(-y,x)

3.  Rotation 180° clockwise  about the origin changes x into y and y into -x, so it has the rule

(x,y)→(-x,-y)

Here you can apply rotation by 90° clockwise twice, so

(x,y)→(-y,x)→(-x,-y)

3 0
3 years ago
The price-earnings ratio for firms in a given industry follows the normal distribution. In this industry, a firm whose price-ear
lesantik [10]

Answer:

The correct answer is

A. 16%

Step-by-step explanation:

The zscore is used to solve problems of normally distributed samples.

This score indicates the percentage of a certain measure. It can be found looking at the z table.

For example, if a measure has a percentile of 75%, it is in the 100%-75% = highest 25 percent of all the measures.

Z = 1 has a pvalue 0.8413. So it is in the highest 1-0.8413 = 0.1587 = 16% percent of firms in the industry.

The correct answer is

A. 16%

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3 years ago
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Answer:

join my kahoot

https://kahoot.it/challenge/09174317?challenge-id=67e37a3e-3175-473f-8bbe-bf5d0a6a5db5_1616009227053

Game PIN: 09174317

Step-by-step explanation:

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Answer:

The answer to that question is c. y = x

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Answer:

The expected value of random variable X is often written as E(X) or µ or µX.

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