Last year, 150 cases were reported of a new infectious disease. it has been predicted that the number will double every year. how many cases will be reported in the ninth year?

38,400

Step-by-step explanation:

This is  a geometric sequence requiring that the 9th term be computed. The nth term of a geometric sequence is given as

Tn = ar^n-1

where Tn is the nth term, a is the first term, r is the common ratio of then sequence

r = T2/T1

where T2 and T1 are the second and first terms respectively

Given that last year, 150 cases were reported of a new infectious disease. It has been predicted that the number will double every year. It means that

a = 150, r = 2

therefore, the 9th term which is the value in the 9th year

= 150 * 2^9-1

= 150 * 256

= 38,400

what does x eaqual

step-by-step explanation:

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;