8. The height in feet of the curved arch support for a bridge can be modeled by f(x) = -0.0009x 2 + 1.24x + 1.65. You are standing on a platform 2 feet above the maximum
height of the arch. If you bungee from this point, and your bungee will stretch to 420 feet
before retracting, are you safe to jump?
a. Yes you are totally safe!
b. No, you will hit the ground before your bungee retracts.
c. Who cares! you have insurance!
d. I'm not sure, I never thought I would have to use math!

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;

x^3-4x^2+3x-2/x^2+1

step-by-step explanation:

factor the numerator and denominator and cancel the common factors