<span>P(black socks): 24/42 or 12/21
P(black socks without replacement): 23/41. Consequently, the chance of randomly selecting 2 black socks, without replacement, from the basket is 12/21×23/41=276/861, equivalent to 32%. Hope this helps!</span>
Let
s--------> denote the cube's side length
We know that
the volume of a cube is calculated as
if the side length s measures 
then
and thus, the volume is defined as
This leads us to conclude
the correct option is
D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.
They cannot possess the same number of horses; let me clarify. If you divide 21 horses among four individuals, you would perform 21/4, yielding 5.25, implying that fractional horses are unfeasible. Therefore, at least one individual must have 6 horses instead of 5. Possibly, this is what your instructor wants you to understand. For an even distribution, they could sell one horse, making it 20, so each would then have 5 horses. Alternatively, they might share the extra horse to rotate its usage.
Answer:
P(t) = 1000e^(0.01155)t
Step-by-step explanation:
The population of the barangay can be modeled using the exponential function;
P(t) = P0e^kt
P(t) reflects the population after t years
P0 denotes the initial population
t indicates the time
With an initial population of 1000, we set P0 = 1000
Given that the population doubles every 60 years, at t = 60, it holds that P(t) = 2P0
Inserting that into the equation yields
2P0 = P0e^k(60)
2 = e^60k
Taking the natural logarithm of both sides
ln2 = lne^60k
ln2 = 60k
k = ln2/60
k = 0.01155
Inserting the determined k value and P0 into the function gives
P(t) = 1000e^(0.01155)t
Thus, the exponential model for the population of the barangay is
P(t) = 1000e^(0.01155)t
