Mathias will have to go out in the hall exactly 100 meters away from the door and pause for a minute. the he is allowed to walk exactly halfway to the door and pause for another minute. then he can again walk exactly half the remaining distance to the door and pause again, and so on. mr. c says that when mathias reaches the door he can leave, unless he breaks the rules and goes more than halfway, even by a ring tiny amount. when can mathias leave? prove your answer using multiple representations.

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;

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

add 8+12 to get a simplified answer of 12r-20