Answer:
The population size after four days is calculated as 168.
Step-by-step explanation:
Let the population size be P
t be the time variable which is measured in hours
Therefore,
by the differential equation
= 0.8329P
So,by solving and expifying the equation on both sides, we get
P = Ae^0.8329t
Therefore,from the first equation we get
P(0) = 6,
A = 6.
Therefore the population size after four days is
P(4) =
= 168( rounded to nearest whole number)
Answer:
Where's the question?
Step-by-step explanation:
Dependent event is an event that is affected by previous events. If you select the first blue gem from three, then the number of blue gems becomes 1 less and when choosing the second blue gem you have to select it from 2 blue gems. So, according to definition these events are dependent.
You have 7 white gems, 5 green gems and 3 blue gems that is 15 in total. Probability to choose first gem blue from jewel case is 3/15=1/5. Then there left 7 white gems, 5 green gems and 2 blue gems that is 14 in total. Probability to choose second gem blue from jewel case is 2/14=1/7.
Use the product rule to count the whole probability: 1/5·1/7=1/35.
Answer:
8
Step-by-step explanation:
Using the Heron's formula we can find that the total area of the triangle is 84 inches.
Then, to find the height of the triangle, you have to multiply the area by 2 since the formula for the area of a triangle is (h*b)/2
Now, when we multiply 84 and 2 we get 168, so you have to divide 168 by 21 to find 8.