In a lab, 180 cells are present at the beginning of an experiment. During the first 9 hours, the number of cells increased by 8% each hour. Write an exponential model giving the number of cells y present t hours after starting the experiment. Estimate the time when the number of cells is 360.

The answer is 9 hours

Step-by-step explanation:

From the initial population of 180 cells, the number grows by 8% every hour for the first 9 hours.

This represents a increased population of 108% the previous population.

108% = 108/100 = 1.08

So the new population after n hours is

180 x 1.08^n

When population is 360

360 = 180 x 1.08^n

1.08^n = 2

Take log of both sides

n x Log1.08 = Log 2

n = Log 2/Log 1.08

n = 9

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d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;