Suppose that p(x) is the density function for heights of american men, in inches, and suppose that p(69)=0.19. think carefully about what the meaning of this mathematical statement is. (a) approximately what percent of american men are between 68.6 and 69.4 inches tall?

Using continuity correction, it is found that 19% of American men are between 68.6 and 69.4 inches tall.

A density function traditionally represents a discrete probability distribution.

If we want a continuous distribution to be represented, continuity correction is used, which means that the following equality holds:

In this problem, we are given:

Applying continuity correction:

Thus, 19% of American men are between 68.6 and 69.4 inches tall.

A similar problem, in which continuity correction is used, is given at link

15,2% of American men are between 68.6 and 69.4 inches tall.

Step-by-step explanation:

p(69)=0.19 tells you that 19% of all American men are 69in tall. Now, we want to know what percentage of those men are exactly between 68.6 and 69.4 inches tall. We only need to multiply the given density function by the gap between the two heights we are looking for, so:

0.19 * (69.4-68.6) = 0.19*0.8 = 0.152*100 = 15,2%

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w