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MaRussiya [10]
3 years ago
13

The equation of a circle whose center is (3,7) and whose radius is 6 is

Mathematics
1 answer:
Aleks [24]3 years ago
4 0
The equation of any given circle is:
{(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}
where (h, k) is the center and r is the radius.

In the problem, we are given the center, and the radius. When we plug them in:
{(x - 3)}^{2}  +  {(y - 7)}^{2}  = 36
we got the formula of the circle.
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If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?
pashok25 [27]

The events A and B are not independent.

Given that,

                  P(A|B) = 0.4

                  P(A) = 0.5

                  P(B) = 0.8

Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)

We have, P(A|B) = P(A∩B)/P(B)

Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32

Now P(A) P(B) = 0.5 x 0.8 = 0.4

So P(A∩B) ≠ P(A)P(B)

Therefore, the events A and B are not independent.

Learn more about independent events at brainly.com/question/22881926

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7 0
1 year ago
What are the solutions of the equation ( X -25 )^ 2 equals 36
fgiga [73]

Answer:

x = 31, x = 19

Step-by-step explanation:

(x-25)^2=36\\\sqrt{(x-25)^2}=\sqrt{36}\\x-25=6 or -6\\\\x-25=6\\x=31\\\\x-25=-6\\x=19

5 0
2 years ago
What is (f + g)(x)? f(x) = -5x + 3 g(x) = -3x? Write your answer as a polynomial or a rational function in simplest form.​
ivann1987 [24]

Answer:

- 8x + 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= - 5x + 3 + (- 3x)

= - 5x + 3 - 3x ← collect like terms

= - 8x + 3

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Find the missing angle according to the Triangle Sum Theorem.
Lynna [10]
The answers to the missing angle is 40°
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3 years ago
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