Answer:
Population of bacteria at time 
is 
Step-by-step explanation:
The complete question is
If 
represents the number of bacteria in a culture at time t, how many will there be at time
Solution
Given
The population of bacteria after time t is equal to
Population when at time
We will substitute the value of time in above equation.
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Answer:
an = 1/2 (4)^ (n-1)
a6 = 512
Step-by-step explanation:
The formula for a geometric sequence is
an = a1 (r)^(n-1)
where an is the term of the sequence
a1 is the initial term of the sequence
r is the ratio
and n is the term number
We know a1 = 1/2 and r =4
I will assume that x=6 means we want to know the 6th term
an = 1/2 (4)^ (n-1)
We want to find the 6th term
a6 = 1/2 * 4^(6-1)
a6 = 1/2 * 4^5
a6 = 512
We use the simple rules of statistics to accept the null hypothesis
68% of the data falls within 1 sd of the mean95% of the data falls within 2 sd of the mean 99% of the data falls within 3 sd of the mean
20 falls between the range of -56 to 56 (from the given 95% c.i.), hence we accept the null hypothesis; else, if the mean falls outside the range, we reject the null hypothesis.
