Answer:
Probability of rolling a 2 and flipping a head will be 
Step-by-step explanation:
If we roll one die then probability to get any one side is 
Therefore, probability to get 2 by rolling the die will be P(A) =
Now we flip a coin then getting head or tale probability is 
Or probability to get head by flipping the coin P(B) =
Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by
P(A∩B) = P(A)×P(B)
= 
=
Therefore, probability of rolling a 2 and flipping a head will be
The mean will be calculates as follows; from the formula of z-score we shall have:
z=(x-μ)/σ
the z-score associated with 0.5% is 0
thus
0=
(8-μ)/0.4=0
solving for x we get:
μ=9
Answer: μ=9
There are 12! ways to line 12 people up. That is 12 factorial (the name for the exclamation point
12! means 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Using a scientific calculator to compute 12!, we get 479,001,600 ways to line up 12 people. I know it sounds amazing but here is a chart.
People Ways
3 6
4 24 (Notice that if you multiply 6 x 4 you get 24)
5 120 (Notice that if you muliply 24 x 5 you get 120 etc.)
6 720
7 5040
8 40,320
9 362,880
10 3,628,880
11 39,916,800
12 479,001,600
