Answer:
Population of bacteria in culture after 14 hours is 285541.
Step-by-step explanation:
We are given with
Here initial population is 41000 , t=5 and d=14
Plug in these values into the formula
Simplify
=41000(6.9644)
=285540.5847...
To the nearest whole number is 285541.
Answer:
a)
b) We are uncertain
c) It will change significantly
Step-by-step explanation:
a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.
Since we assume that the variances are equal, we use the pooled variance given as
,
where .
The mean difference .
The confidence interval is
b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.
c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.
Answer:
-5
Step-by-step explanation:
Shown in the attachment.
The remainder when 3x^2 +5x -3 is divided by 3x+2 is -5
