Total profit is defined as total​ revenue, R(x), minus total​ cost, C(x), and is given by the function ​P(x)=​R(x)​-C(x). Given ​R(x) =58x - 0.4x^2 and ​c(x)=3x+13, find each of the following. ​b) ​R(80)

7

step-by-step explanation:

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

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;