According to the WHO report, girls who are one month old have a mean head circumference of 36.55 centimeters with a standard deviation of 1.17 cm. 1) Ann is concerned that her daughter’s head is small. Her daughter has a head circumference of 34.25 centimeters when she is one-month old. If we consider measurements more than 2 standard deviations from the mean as unusual, is Ann’s daughter’s head measurement unusually small? Support your answer.
2) According to Medscape.com, microcephaly is a head circumference more than two standard deviations below the mean. What percentage of 1-month old girls will be categorized as having microcephaly? How do you know?

Step-by-step explanation:

If a line passes through A , B and O(0,0) the slopes of AO and BO or AO and OB should be same depending on ... What is the greatest possible value of b? ... (14 - b)^2 = 72*2 = 144 .

Since it passes through the origin, there is no y-intercept

and the equation has the form

y = mx

(−2, b−14) and B(14−b, 72)

slope = (72 - b + 14)/(14-b + 2) = (86-b)/(16-b)

the "critical values of" seem to be 86 and 16

If b > 86, the slope is positive

if b < 16, the slope is positive

for 16 < b < 86 the slope is negative

There doesn't seem to be a greatest value of b.

e.g. let b = 1000

then the slope is (86-1000)/(16-1000) = 457/492 = .9288..

and your equation is y = 457/492 x

as x ---> ∞ , slope > 1