Christi A large aquarium should contain 10,000 liters of water
when it is filled correctly. It will overflow if it gets up to
12,000 liters. The fish will get sick if it gets down to
4,000 liters. The aquarium has an automatic system to
help keep the correct water level. If the water level is
too low, a faucet fills it. If the water level is too high, a
drain opens.
One day, the system stops working correctly. The drain
opens draining the water at a rate of 20 liters per
minute.

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;

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8