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Fittoniya [83]
1 year ago
8

The gerneral form of the equation of a circle is x^2 + y^2 + 8x + 22y + 37=0

Mathematics
1 answer:
qaws [65]1 year ago
8 0

(x+4)² +(y+11)²=10²

<h3>What is equation of circle?</h3>

The general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

given: x²+ y² + 8x + 22y + 37=0

As, the general equation for a circle is ( x - h )² + ( y - k )² = r².

x²+ y² + 2*4x + 2*11y + 37=0

x²+ y² + 2*4x + 2*11y +121+16-100=0

x²+  2*4x +16 + y² +  2*11y + 121 =100

(x+4)² +(y+11)²=10²

Learn more about equation of circle here:

brainly.com/question/10618691

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Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
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GCF: 6
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Step-by-step explanation:

Carey, the music reporter for her high school newspaper, is writing an article about this year's school musical. Carey wants to interview one male and one female cast member, and there are 4 boys and 3 girls in the musical this year. Carey also wants to interview one of the 2 students working backstage on the tech crew. Therefore, there can be 24 different sets of people that Carey can interview.

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3 years ago
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Answer:  (i) 15%     (ii) 0.6%

<u>Step-by-step explanation:</u>

Given: P(A) = 0.3      ⇒ ~P(A) = 0.7

           P(B) = 0.3      ⇒ ~P(B) = 0.7

    P(A ∪ B) = 0.6      ⇒ ~P(A ∪ B) = 0.4

If you don't have a calculator function for the Binomial Formula, the equation is: P(X)=\dfrac{n!}{X!(n-X)!}\cdot p^X\cdot (1-p)^{n-X}     where

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(i) Probability of at least 5 --> P(X ≥ 5) means P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

P(5): n = 10, p = 0.3, X = 5       → P(5) = 0.1029

P(6): n = 10, p = 0.3, X = 6       → P(6) = 0.0368

P(7): n = 10, p = 0.3, X = 7        → P(7) = 0.0090

P(8): n = 10, p = 0.3, X = 8        → P(8) = 0.0014

P(9): n = 10, p = 0.3, X = 9        → P(9) = 0.0001

P(10): n = 10, p = 0.3, X = 10     → P(10) =<u> 0.0000  </u>

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P(10): n = 10, p = 0.6, X = 10       → P(10) = 0.0060    →   0.6%

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