Answer:
a)
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
b)
0.125 = 12.5% probability that all three coins come up heads.
0.875 = 87.5% probability that there will be at least one tail.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Question a:
Considering H for heads, T for tails:
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
(b) What is the probability that all three coins come up heads?
One outcome(H - H - H) out of 8, so:
0.125 = 12.5% probability that all three coins come up heads.
Notice that the complement of the event "3 heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.
Sum of these probabilities is 100%, so:
1 - 0.125 = 0.875
0.875 = 87.5% probability that there will be at least one tail.
When it comes to fractions yes you do. But to make it easier just multiply the denominators and that should give u a common denominator, they don't always have to be least common.
Answer:
K1/K2=4
Step-by-step explanation:
The kinetic energy of a rotating sphere is given by:
The moment of inertia of a solid sphere is given by
The initial kinetic energy is therefore
The final kinetic energy is given by
Therefore the relation K1/K2 if R2 = 0.5R1
The text says nothing about the final angular velocity just the collapse of the collapse of the radius
Answer:
a. C(x) = $16, if 0 ≤ x ≤ 10
C(x) = 2x - 4 if x > 10
b. Independent: Number of DVD rentals
Dependent: Monthly cost of rentals
c. $26
Step-by-step explanation:
a. The cost (C) of renting 'x' DVDs is given by:
If 10 ≤ x ≤ 10
C(x) = $16
If x > 10
C(x) = 16 + 2(x-10)
C(x) = 2x - 4
b. Since the cost depends on the number of DVD rentals, cost is the dependent variable and number of DVD rentals is the independent variable.
c. For x = 15:
C(15) = 2*15 - 4
C(15) = $26
It costs $26 to tent 15 DVDs in one month
