<span>There is 1 way to win 6 games in a row
wwwwww
There are 2 ways to win 5 games in a row
wwwwwl, lwwwww
There are 5 ways to win 4 games in a row
llwwww, wwwwll, lwwwwl, wlwwww, and wwwwlw.
There are 2^n to arrange 6 wins and losses which adds up to 2^(6) = 64
So the Probability they win all four games in a stretch is 5 + 2 + 1 ways = 8 ways.
So the probability = 8/64 = 1/8</span>
Answer:
51.94805...%
Step-by-step explanation:
added up all the #'s =154
added up all the bois =80
divide 80 from 150 =0.51948...
multiply that by 100 =51.94805...
Since 25% is smack in the middle between 20% and 30%, it will take equal volumes of ech to make a 25% solution.
Since 4 gallons of 30% solution was used, so 4 gallons of 20% solution will be needed.
<span>gravitational potential energy : P
Gravity : g
Mass : m
height : h
P = mgh = 3 x 9.8 x 0.45 = 13.23 Joule
Potential energy is work , from the known formula
W = Fd ( work = force x distance )
W = P ( in case of potential energy height change)
F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body
F = mg ( not just <m> as the force is mg (Newton) gravity effect)
d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so
d = h
W = Fd = (F = mg) x (d = h) = mgh
W = mgh = P
</span>
Anthony ran 5.5 miles each day after school
Let x represent the amount of mile he covered at the park after school. Since he ran 1.5 miles each day before school, the total distance covered each day is:
Total distance covered each day = Distance ran before school + Distance ran after school
Total distance covered each day = 1.5 + x
Since he ran for 4 days in a week, hence:
Total distance ran in a week = 4 days × (1.5 + x)
Total distance ran in a week = 4x + 6
But at the end of the week he ran 28 miles, hence:
4x + 6 = 28
4x = 22
x = 5.5 miles
Hence Anthony ran 5.5 miles each day after school
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