7.43: Let
denote the random variable for height and
for the sample mean. Then if
is the mean of
So the probability that the difference between the sample and population means does not exceed 0.5 inch is

per the empirical or 68/95/99.7 rule.
7.44: For a sample of size <em>n</em>, the sample standard deviation would be
. We want to find <em>n</em> such that

Comparing to the equation from the previous part, this means we would need

so a sample of at least 157 men would be sufficient.
210, 420, 630, 840
multiples of 2*3*5*7
Y = -4/5 x - 2
-9 = -4/5 x - 2
-4/5 x = -9 + 2 = -7
-4x = 5(-7) = -35
x = -35/-4 = 35/4
2 figures are congruent if at least 2 sides are the same length, there angles are the same, etc
58%-62%
just add 2 to 60
and subtract 2 from 60 to find the range of percents