Answer:
a=−1/2, 3
3Step-by-step explanation:
Answer:
(a)
The probability that you stop at the fifth flip would be

(b)
The expected numbers of flips needed would be

Therefore, suppose that
, then the expected number of flips needed would be 1/0.5 = 2.
Step-by-step explanation:
(a)
Case 1
Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be

Case 2
Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be

Therefore the probability that you stop at the fifth flip would be

(b)
The expected numbers of flips needed would be

Therefore, suppose that
, then the expected number of flips needed would be 1/0.5 = 2.
The numbers are being multiplied by 7
.5 • 7 = 3.5
3.5 • 7 = 24.5
24.5 • 7 = 171.5
etc
Answer:
line l: x = -1
line m: x = 6
line n: y = 4
line p: y = -2
Step-by-step explanation:
All of these lines are parallel to either to y or x axis, so the slope is either zero or undefined. This means all you have to do is set x or y equal to the x intercept or y intercept. For lines that go vertically, they always have the same x coordinate and any y coordinate you put in will make a point that is on the line. The same thing with the horizontal lines, except they all have the same y coordinate and any x coordinate will make a point that is on that line.
All you have to do is set x or y, depending on which way the line is going, equal to the point is goes through on the axis it travels through, no need to worry about slope or y = mx + b.