Which equation of a circle represents the picture?
A. (x - 5)² + (y - 5)² = 25
B. (x + 5)² + (y + 5)² = 10
C. (x)² + (y)² = 10
D. (x)² + (y)² = 25

Option D:

Equation of a circle is (x)² + (y)² = 25.

Solution:

Given points on the circle are

P(–5, 0), Q(0, 5), R(5, 0) and S(0, –5).

Radius of the circle = 5 units

Center of the circle = (0, 0)

Equation of a circle formula:

where (h, k) be the center of the circle and r be the radius of the circle.

Substitute (0, 0) and r = 5 in the formula, we get

Equation of a circle represents in the picture is (x)² + (y)² = 25.

Hence Option D is the correct answer.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

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