You play a game where your score is determined by a sequence of random coin flips. For each of the following scenarios, select which strategy is the most favorable. Assume all coins are fair. 1. You win if your score is at least 500.
A. You flip 1000 coins and each heads gives you one point.
B. You flip 10 coins and each heads gives you 100 points.
C. You flip 2 coins and each heads gives you 500 points.
D. You flip 1 coin and each heads gives you 1000 points.
2. You win if your score is at least 400.
A. You flip 1000 coins and each heads gives you one point.
B. You flip 10 coins and each heads gives you 100 points.
C. You flip 2 coins and each heads gives you 500 points.
D. You flip 1 coin and each heads gives you 1000 points.
3. You win if your score is 1000.
A. You flip 1000 coins and each heads gives you one point.
B. You flip 10 coins and each heads gives you 100 points.
C. You flip 2 coins and each heads gives you 500 points.
D. You flip 1 coin and each heads gives you 1000 points.
4. You flip 10,000 coins and you win if your score is greater than-100.
a. each heads gives you 1 point and each tail gives you -1 point.
b. each heads gives you 10 point and each tail gives you -10 points.
c. each heads gives you 100 point and each tail gives you -100 point.

he spend 5.1 minutes chatting with his friends

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5 1/10

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be