In a medical experiment, the number of bacteria is halved every hour. what type of function represents this pattern? a. decreasing linear b. increasing linear c. exponential growth d. exponential decay

D. Exponential decay

Step-by-step explanation:

Let P be the initial number of bacteria,

Given,

The number of bacteria is halved every hour.

So, After x hours the number of bacteria,

Since, it is the type of exponential function ,

Thus, the function represents the given situation is exponential.

Now, there are two types of exponential functions,

(i) Exponential growth : If b > 1

(ii) Exponential decay : if 0 < b < 1,

Now, By comparing,

b = 1/2

Also, 0 < 1/2 < 1

Hence, the function that shows the given situation or pattern is exponential decay.

Option D is correct.

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;