28, 14, 7, 0 is a sequence for this
The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
r = √(x1 - h)² + (y1 - k)²
r = √(9 - 7)² + (4 - 3)²
r = √2² + 1²
r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
(x - 7)² + (y - 3)² = 5
1:3 i think, because its filled up one third of water
The equation used to find the surface area of a sphere is 4 x pi x r^2. The surface area of the sphere with a diameter of 16 inches would be
4 x 3.14 x 8^2 = 803.84. Therefore, the surface area of a sphere with a diameter of 16 inches would be 804 square inches. (rounded the decimal)
The probability of at least one child inheriting the disease can be given by
<em>P</em>(<em>X</em> ≥ 1) = 1 - <em>P</em>(<em>X</em> = 0). This is because the only choice other than at least one child inheriting the disease is that no children get it.
Since there is a 70% or 0.7 chance that each child will inherit it, there is a 30% or 0.3 chance that they will not. This gives us
1 - <em>P</em>(<em>X</em> = 0) = 1 - (0.3)(0.3)(0.3) = 1 - 0.027 = 0.973
There is a 97.3% chance that at least one of the children will get the disease from their mother.
