Answer:
v = 1/(1+i)
PV(T) = x(v + v^2 + ... + v^n) = x(1 - v^n)/i = 493
PV(G) = 3x[v + v^2 + ... + v^(2n)] = 3x[1 - v^(2n)]/i = 2748
PV(G)/PV(T) = 2748/493
{3x[1 - v^(2n)]/i}/{x(1 - v^n)/i} = 2748/493
3[1-v^(2n)]/(1-v^n) = 2748/493
Since v^(2n) = (v^n)^2 then 1 - v^(2n) = (1 - v^n)(1 + v^n)
3(1 + v^n) = 2748/493
1 + v^n = 2748/1479
v^n = 1269/1479 ~ 0.858
Step-by-step explanation:
Answer:
0.5372
Step-by-step explanation:
Given that the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average birth rate of 1.8 births per hour.
Let X be the no of births in the hospital per hour
X is Poisson
with mean = 1.8
the probability of observing at least two births in a given hour at the hospital
= 
the probability of observing at least two births in a given hour at the hospital = 0.5372
Step-by-step explanation:
The answer is definitely 2.
which is 30 cm
Answer:
You kayak 255 feet farther 5 minutes on the way down the river than in 5 minutes on the way up the river
Step-by-step explanation:
Given:
The rate at which you kayak up a river = 48 feet every 30 seconds.
The rate at which you kayak down a river = 423 feet every 3 minutes
To Find:
How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river = ?
Solution:
Let the speed with which you kayak up the river be x and the speed with which you kayak down the river be y
Then
x =
[ Converting 30 seconds to 0.5 minutes]
x = 96 feet per minute
Similarly
y =
y = 141 feet per minute
Now the distance kayaked up the river in 5 minutes
=>
=>
( in 5 minutes there are 10 30 minutes)
=>960 feet
Now the distance kayaked down the river in 5 minutes
=>
=>
( in 5 minutes there are 10 30 minutes)
=>705 feet
Thus
960-705 = 255 feet
The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can not be sides of a right triangle.