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alexdok [17]
3 years ago
11

PLZ use the information given to write the equation of the circle.

Mathematics
2 answers:
Wewaii [24]3 years ago
5 0

Answer:

  • C. x² + (y + 16)² = 15

Step-by-step explanation:

<u>Equation of circle:</u>

  • (x - h) + (y - k) = r², where (h, k) is the center and r is the radius

<u>We have:</u>

  • h = 0, k = -16, r = √15

<u>Substitute the given into the equation above and get the equation of the given circle:</u>

  • (x - 0)² + (y - (16))² = (√15)² ⇒
  • x² + (y + 16)² = 15

Correct choice is C

kotegsom [21]3 years ago
4 0

Answer:

x^2+(y+16)^2=15

Step-by-step explanation:

(x-0)^2+{y-(-16)}^e=(√15)^2

→x^2+(y+16)^2=15

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Answer:

A. 0.088

B. 0.048

C. 1.83 times

Step-by-step explanation:

From the question given above, the following data were obtained:

Green (G) = 4

Yellow (Y) = 5

Total = 4 + 5 = 9

A. Determination of the probability of selecting three green marbles with replacement.

Green (G) = 4

Yellow (Y) = 5

Total = 9

P(1st G) = 4/9

P(2nd G) = 4/9

P(3rd G) = 4/9

P(all G) = P(1st G) × P(2nd G) × P(3rd G)

P(all G) = 4/9 × 4/9 × 4/9

P(all G) = 64/729

P(all G) = 0.088

B. Determination of the probability of selecting three green marbles without replacement.

Green (G) = 4

Yellow (Y) = 5

Total = 9

P(1st G) = 4/9

P(2nd G) = 3/8

P(3rd G) = 2/7

P(all G) = P(1st G) × P(2nd G) × P(3rd G)

P(all G) = 4/9 × 3/8 × 2/7

P(all G) = 24/504

P(all G) = 0.048

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P(all G with replacement) = A = 0.088

P(all G without replacement) = B = 0.048

A/B = 0.088/0.048

A/B = 1.83

Cross multiply

A = 1.83 × B

Thus,

P(all G with replacement) = 1.83 × P(all G without replacement)

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