Answer:
Given that the probability of winning is = 0.05
So the probability of losing is = 1 - 0.05 = 0.95.
We are told we have a 1 in 20 chance
Success: 0.05
Failure: 0.95
P(X=4)= 0.95*0.95*0.95*0.05
So the chance is 0.04286 or Option D
Answer:
11. x = -3+√37 ≈ 3.08276
12. x = 11.2
13. x = -6 +6√5 ≈ 7.41641
Step-by-step explanation:
In each case, the relation of interest is ...
(distance to circle near) × (distance to circle far) = (distance to circle near) × (distance to circle far)
When there is only one point of intersection of the secant with the circle—because it is a tangent—then the product is the square of the length of the tangent.
11. 2(2+12) = x(x +6)
x² +6x -28 = 0
(x +3)² -37 = 0
x = -3+√37 ≈ 3.08276
12. 5(5+x) = 9(9)
5x +25 = 81
x = 56/5 = 11.2
13. x(x +12) = 12(12)
x² +12x -144 = 0
(x +6)² -180 = 0
x = -6 +√180 ≈ 7.41641
_____
<em>Comment on this secant rule</em>
This rule turns out to apply whether the point of intersection of the secant lines is outside the circle (as in these problems) or inside the circle (as in problem 9). The product of the two distances from the point of intersection to the circle is a constant for a given pair of intersecting secants/chords.
The Answer:
21 - 9 = 12, not 11.
explanation:
It is not much else to say here, so straightforward, the answer lies above.
Therefore,
you are correct. 11 + 9 = 20 - 9 = 11, which is correct for the given equation.
The answer is 3 diagonals
