The weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of 28 lb. one definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2. what is the obesity threshold weight for a young adult american male? round your answer to the nearest tenth.

218.7 lb.

Step-by-step explanation:

We have been given that the  weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of 28 lb.

One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2.

We will use z-score formula to solve our given problem.

, where,

,

,

,

.

Upon substituting our given values in z-score formula we will get,

Now let us solve for x.

Upon multiplying both sides of our equation by 28 we will get,

Let us add 162.7 to both sides of our equation.

Therefore, the obesity threshold weight for a young adult American male is 218.7 pounds.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .