Answer:
all work is shown and pictured
Answer:
More clarification
Step-by-step explanation:
2 of a white ball =2/30 =1/15;
This is the probability of picking a black ball.
Let the number of black ball be X
x/(x +20)= 1/15[ probability of picking black ball ]
15x = x + 20 ; by cross multiplication
14x=20; x = 20/ 14 =1.42 = 1 [ approximately]
But to satisfy the premise given above; we have to approximate the no of balls to 2
x = total amount of visitors
so we have 90% that lost $100, 9% that lost $1000, now 90+9 = 99%, what's left is just 1% then, so 1% won $10,000.
Profit is Revenue - Cost.
so the profit for the casino, is not who wins, because from the wins the casino needs to pay that to the winner, so they're losing that much, so for the casino, profits is when a player loses, so their profit will come from the 99% that lost money then.
keeping in mind that
since we know that 90% lost $100, that means 0.9x(100) is the total amount lost by all of them, since we also know that 9% lost $1000, then 0.09x(1000) is the total amount lost by them, and the wins are of course just 0.01x(100000).
Correct question is ;
Given the equation of the parabola x² = -36y
The focus of the parabola is:
Answer:
Option C - Focus = (0,-9)
Step-by-step explanation:
The equation of the parabola is:
x² = -36y
Thus, y = - x²/36
Using the vertex form,
y = a(x − h)² + k, to determine the values of a, h, and k.
We will have;
y = (-1/36)(x − 0)² + 0
Thus,
a = - 1/36
h = 0
k = 0
The distance (p) from the vertex to a focus of the parabola is gotten by using the following formula.
p = 1/4a
So, p = 1/(4*(-1/36))
p = - 1/(1/9)
p = -9
Now, The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.
Focus is (h, k+p)
Plugging in the relevant values, we have;
Focus = (0, (0 + (-9))
Focus = (0,-9)
The answer is that CG is equal to 13cm.
As given that DG, EG, and FG are perpendicular bisectors of the sides of triangle ABC and it shows that G is the point of intersection and also it is the circumcenter of the triangle, So;
AG = BG = CG
By Pythagorean theorem
BG² = DG² + BD²BG²
And DG = 5cm and BD = 12cm
So,
BG = √(DG² + BD²) = √(5² + 12²) = √(25 + 144) = √169 = 13
BG = 13 = AG = CG
Thus,
CG = 13cm
