Answer: i feel that the coorect answer is b
Answer:
698 fishes
Step-by-step explanation:
Generally, we can represent an exponential growth function as;
y = a•(1 + r)^t
originally, there were 3 fishes
The original value in this case means a = 3
After 6 weeks, there were 31
31 in this case is y
r is the increase percentage or rate
t is the time
So, we have it that;
31 = 3•(1 + r)^6
31/3 = (1 + r)^6
10.33 = (1 + r)^6
ln 10.33 = 6 ln (1 + r)
ln 10.33/6 = ln (1 + r)
e^0.3892 = (1 + r)
1 + r = 1.476
r = 1.476-1
r = 0.476 or 47.6%
So the growth percentage or rate is 47.6%
For 14 weeks, we simply have the value of t as 14;
So ;
y = 3•(1 + 0.476)^14
y = 3(1.476)^14
y = 698 fishes
Answer: 1: 5(3x+4)
2: 6(x2+4x−3)
3: 5x(4x2−3x+2)
4: 4n2(4n2-3)
Step-by-step explanation:
Answer: 6,520 miles per year
Step-by-step explanation:
They had driven the car for 53,790 miles in 8.25 years.
The average number of number of miles driven per year is:
= 53,790 / 8.25 years
= 6,520 miles per year
<em>They drove an average of 6,520 miles per year.</em>
The given MGF is that for a random variable following a Poisson distribution with parameter

.
This means

, and

has PMF

So, the desired probability is

This is equivalent to