Jack plants a 5 centimeter beanstalk in his back yard. For the next month, Jack notices that each day the beanstalk is 15% taller than it was the previous day. Which formula represents the height of the beanstalk (in centimeters) as a function of the number of days, t, since it was planted

Step-by-step explanation:

This problem requires that we produce a model that describes the daily height of the beans stalk

let us describe some variables

the daily height is H

let the initial height be h= 5 cm

and the daily increment be 15%= 0.15

and also the number of days be x

We can use the equation of straight line to model the daily height of the beans stalk

i.e

hence  the formula for the height of the beanstalk is

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;