If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) = 
≈ 0.246
So the probability of that is 24,6 %
Good Luck
Capacity is the maximum amount that something can contain
fluid ounces is how much something contains in ounces.
Answer:
x = 6, -8
Step-by-step explanation:
If (x - 6)(x + 8) = 0, that would imply that either (x - 6) or (x + 8) would equal zero. Using this, we can find that solving the two equations:
x - 6 = 0
and
x + 8 = 0
would yield the two solutions to the equation.
x - 6 = 0
Add 6 to both sides of the equation.
x = 6
So one of the solutions would be x = 6.
x + 8 = 0
Subtract 8 from both sides of the equation.
x = -8
So the other solution would be x = -8.
The two solutions are x = 6 and x = -8.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
The cost of each pair of shoes before the discount=$67.65
Step-by-step explanation:
Step 1
Use the expression below to determine original cost of the 2 pairs of shoes as follows;
A=O-R
where;
A=total bill after discount
O=original cost of 2 pairs of shoe
R=discount amount
In our case;
A=$110.50
O=unknown=x
R=15% of O=(15/100)×x=0.15 x
replacing;
115=x-0.15 x
115=0.85 x
x=115/0.85
x=135.294
Original cost of the 2 pairs of shoes=$135.294
Original cost of a pair of shoes=135.294/2=$67.65
The cost of each pair of shoes before the discount=$67.65
240 sec + 45 sec= 285 sec
