According to the National Center for Health Statistics, the distribution of adult male and female heights is reasonably modeled by a normal density curve. In a 2007 study, the NCHS found that
all adult males (at least 20 years of age) had a mean height of 69.4 inches with a standard
deviation of 2.5 inches. The respective mean and standard deviation for all adult females at
least 20 years of age was 64.8 and 2.2 inches.
(a) Find the z-score and height for someone in the 75th percentile of the height
distribution for adult males.
(b) If an adult female were 66 inches tall, calculate her percentile rank and compare it to
the male in part A.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

step-by-step explanation: hi!