A study of graduation data at a university in New Zealand found that time to graduation was normally distributed for both men and women. Men had a mean time to graduation of 4.32 years with a standard deviation of 1.3 years. Women had a mean time to graduation of 4.12 years with a standard deviation of 0.78 years.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

step-by-step explanation: