Answer: Your answer for 13 people should be somewhere in the 20% range. Letting n=13 and we have about a 80.56% probability that no two out of the 13 share a birthday. As stated, the complement of this is the probability that at least two of the 13 share a birthday.
Step-by-step explanation:
Answer:
130 inches
Step-by-step explanation:
Area = Length · Width
Solve for the Right Triangle
6 · 11 = 66 inches
Area = Length · Width
Solve for the square
Since the width isn't fully given, we must add 5 + 3 = 8 inches
5 · 8 = 40 inches
Area = Length · Width
Solve for the Rectangle
8 · 3 = 24 inches
Now add the results: 66 + 40 + 24 = 130 in^2
3=21/(x+5)
Cross multiply
3(x+5)=21
Divide 3
X+5 = 7
Subtract 5
X= 2
Answer:
0.6154
Step-by-step explanation:
Using Baye's theorem, the probability that the flip resulted in a head If the selected marble selected is red is given by;
P( H | R ) = (P( R | H ) × P( H ))/[(P( R | H ) × P( H)) + (P( R | -H ) × P( -H ))]
We can deduce that;
P( R | H ) = 4/10 = 0.4
P( R | -H ) = 3/8 = 0.375
P( -H ) = 1 - P( H )
We are given P(H) = 0.6
Thus;
P( -H ) = 1 - P( H ) = 1 - 0.6 = 0.4
Plugging in the derived values into the derived Baye's theorem, we have;
P( H | R ) = [0.4 × 0.6] /[(0.4 × 0.6) + (0.375 × 0.4)]
P( H | R ) = 0.6154
18500 * 0.78 = 14,430 (net pay)
14430 / 26 = 555
Answer is B. $555