Answer:
Step-by-step explanation:
Given that 10000 times a fair coin is flipped. Since fair coin prob for head of tail =0.5
If tail comes it will be taken as 1. Hence for the sum to be less than 5000, no of heads <5000
Since trials are large we approximate to normal with mean = np = 5000 and variance = np(1-p) = 2500
Thus no of heads x is normal with (5000, 50)
Since this prob is less than 0.5 only minimum amount to be bet i.e. 1 dollar
If sum of coins <5100, then Z = 
P(Z<2) = 0.9500
This time we can bet maximum of 100 dollars as probability is very high nearer to 1.
Answer:
Step-by-step explanation:
It is assumed we are talking about two rays XY and XZ.
They intersect at common point X.
Correct choice is A
Answer:
a. y^2 = 8x.
Step-by-step explanation:
The general equation for this type of parabola is y^2 = 4ax where a is the distance between the vertex and the focus. The focal width = 4a.
So the answer to this is y^2 = 8x.
Answer:
4
Step-by-step explanation:
4 is a perfect square. We can pull 2 out from under the square root symbol.
The prime factor of 12 is 2.2.3. We can pull another 2 outside of the square root symbol. 2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.
The new equation will be (x-1)² + (y-18)²=36
2) x²+y²+6x+12y=4
(x²+6x+?)-(?) + (y²+12y +??) -(??)=4
(x²+6x+9)-(9) + (y²+12y +36) -(36)=4
(x+3)² - 9 + (y+6)² - 36 = 4
(x+3)² +(y+6)² = 49
