Options :
A. The initial number of bacteria is 7.
B. The initial of bacteria decreases at a rate of 93% each day.
C. The number of bacteria increases at a rate of 7% each day.
D. The number of bacteria at the end of one day is 360.
Answer:
C. The number of bacteria increases at a rate of 7% each day.
Step-by-step explanation:
Given the function :
f(x)=360(1.07)^x ; Number of bacteria in sample at the end of x days :
The function above represents an exponential growth function :
With the general form ; Ab^x
Where A = initial amount ;
b = growth rate
x = time
For the function :
A = initial amount of bacteria = 360
b = growth rate = (1 + r) = 1.07
If ; (1 + r) = 1.07 ; we can solve for r to obtain the daily growth rate ;
1 + r = 1.07
r = 1.07 - 1
r = 0.07
r as a percentage ;
0.07 * 100% = 7%
The answer is d) that is the answer .
c^2 = a^2 + b^2
looking for C the hypotenuse
a = 35
b = 12
These are the sides
c^2 = 35^2 + 12^2
c^2 = 1225 + 144
c^2 = 1369
Then take the square root of both sides to get C
C = 37
Answer:
the probability that system’s failure is due to the radio =
Step-by-step explanation:
From the question given;
Let the mean lifetime of the radio and the mean lifetime of the speaker
we can re-write both expressions as:
and
Let consider to be the variables which are independent to the exponentially distributed mean of
∴
replace the values now; we have:
Thus, the probability that system’s failure is due to the radio =