Answer:
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.
Use the sine law: sinB/b = sinA/a
SinB = b*sinA/a
sinB = 3*sin120° /8
∠ B = 18.94° ≈ 19°
5/3 means (5 over 3 since I can't do fractions on this)
5/3-3/3=___
5-3=2 first you do the numerators
You keep the denominator the same since both denominators are 3
Then you put it together and get 2/3 and since 2/3 can't be reduced, 2/3 is the answer
A complex fraction is a fraction of a fraction
9514 1404 393
Answer:
- x² = y + 16
- 4y - 1 = 7x
- (5, 9)
Step-by-step explanation:
Writing equations from words is mostly a matter of understanding what the English words mean.
If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:
x² = y + 16 . . . . the first equation
The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...
4y -1
This is equal to the first number (x) multiplied by 7, so ...
4y -1 = 7x . . . . the second equation
__
These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...
(x, y) = (5, 9)