Without graphing, determine whether the function represents exponential growth or exponential decay. then find the y-intercept. f(x)=3(0.59)^x

Hello from MrBillDoesMath!

exponential growth , y-intercept 3

Discussion:

Any equation of the form   b^x          (b a constant) models exponential growth.

The y-intercept value is the value of y when x = 0, that is,

y = 3 (0.59)^0 = 3 * 1 = 3

Thank you,

MrB

y-intercept 3

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;