If am=mb, then m is the midpoint of segment ab. true or false for logical reasoning (if-then statements) in geometry.

FALSE (in general)

Step-by-step explanation:

Consider an equilateral triangle T with vertices A, B and M.

Since T is a triangle, then A,B and M are not collinear (they are not in the same line).  

As T is equilateral, then AM =MB.

If M were the midpoint of AB, then M would lie on the same line that joins A and B, so A,B and M would be collinear, which is a contradiction.

So M cannot be the midpoint of AB.

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;