Answer:
The probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.
Step-by-step explanation:
Since a politician is about to give a campaign speech and is holding a stack of thirteen cue cards, of which the first 3 are the most important, and just before the speech, she drops all of the cards and picks them up in a random order, to determine what is the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack, the following calculation must be performed:
1/13 x 1/13 x 1/13 = X
0.076 x 0.076 x 0.076 = X
0.00045 = X
0.00045 x 100 = 0.045
Therefore, the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.
Kinetic energy, KE = 0.5 mv^2
Where m is the mass
V is the velcocity
First calculate the kinetic energy of the bullet
Ke = 0.5(0.008 kg) ( 370 m/s)^2
Ke = 547.6 J
547.6 J = 0.5( 74 kg) v^2
<span>V = 3.85 m/s</span>
Answer:
1/4= 3/12 and 2/3=8/12
Step-by-step explanation:
hope this helps
Answer:
1196.25 cubic inches
Step-by-step explanation:
Volume is Length * Width * Height
Length = 14 1/2 inches
Width = 6 1/2 inches
Height = 5 inches
14 1/2 = 14.5
6 1/2 = 6.5
so multiplying 14.5* 16.5 * 5 = 145/10 * 165/10 * 5 = 119625/100 = 1196.25 cubic inches is the answer