Answer:
z = 69°
Step-by-step explanation:
The sum of all interior angles in a quadrilateral is 360°, and a right angle is worth 90°. We're given the values of the interior angles as 90, 122, 79, and z degrees.
Step 1: Combine like terms.
Step 2: Subtract 291 from both sides.
Step 3: Check if solution is correct.
Therefore, z = 69°.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
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.
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Answer:
(b) g, h, f
Step-by-step explanation:
The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.
Here, you want to list the functions in decreasing order of vertical scale factor:
g(x) . . . scale factor 4
h(x) . . . scale factor 2
f(x) . . . scale factor 1/3
