The weight of an organ in adult males has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 30 grams. Use the empirical rule to determine the following. (a) About 68% of organs will be between what weights?

(b) What percentage of organs weighs between 235 grams and 415 grams?

(c) What percentage of organs weighs less than 235 grams or more than 415 grams?

(d) What percentage of organs weighs between 395 grams and 415 grams?

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

where is the diagram? shown below where? ?

step-by-step explanation: