<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>
<span>4.5 g
56.25 g
Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So
150 g * 3% = 150 g * 0.03 = 4.5g
For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution.
First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution:
3/8 * 150 g = 56.35 g
Or calculate it from scratch, like
4.5/X = 8/100
450/X = 8
450 = 8X
56.25 = X
In both cases, the result is that you desire 56.25 grams of 8% solution.</span>
Answer:
Step-by-step explanation:
Answer:
h = 417.81 meters
The altitude of the plane is 417.81 meters
Step-by-step explanation:
given;
The initial height of the girl h0 = 400 m
Horizontal distance from the airport d = 40 m
Angle of elevation of the plane ∅= 24°
The altitude of the plane when the picture was taken is equal to initial height of the girl plus the elevation height.
h = he + h0
And he (elevation height) can be derived as;
he = dtan∅
he = 40tan24°
Substituting into the equation;
h = 40tan24° + 400
h = 417.81 meters
The altitude of the plane is 417.81 meters
Answer:
The puck traveled 53.8 meters.
Step-by-step explanation:
Currently, the player is 55 meters away from the opponent's goal.
After the shot, the puck is 120 centimeters = 1.2 meters from the opponents goal.
So, this means that the puck traveled 55 - 1.2 = 53.8 meters.
