I did the PEMDAS method (P= parentheses, E= exponents, M= multiplication, D = Division, A= addition, S = subtraction.)
First I did what’s inside the parentheses, (6x2) and got 12.
Then I divided 16 by 22 and received 0.72.
I added 0.72 with 12 and the result was 12.72.
Last step was to subtract 12.72 - 8 and that equals 4.72
Using addition of variables, it is found that the mean of S is of 73 and the standard deviation is of 8.5.
<h3>What happens to the mean and the standard deviation when two variables are added?</h3>
- The mean is the sum of the means.
- The standard deviation is the square root of the sum of variances.
In this problem, for variables A and B, we have that:


Variable S is the sum of A and B, hence:


The mean of S is of 73 and the standard deviation is of 8.5.
More can be learned about addition of variables at brainly.com/question/26156502
Answer:
<em>(D). (8, - 5) </em>
Step-by-step explanation:
Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)
Coordinates of the midpoint are (
,
)
(x² - 10x + 25) + (y² + 2y + 1) = 25
(x - 5)² + (y + 1)² = 5²
(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)
5 = (2 + x) / 2 ⇒ x = 8
- 1 = (3 + y) / 2 ⇒ y = - 5
<em>(D). (8, - 5)</em>
Answer:
a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.
b) ![D=[0,5]](https://tex.z-dn.net/?f=D%3D%5B0%2C5%5D)
c)
Step-by-step explanation:
a) H0 is the initial height. It means the height of the rocket at time 0 s.
This value is 15 m.
b) The domain is all values of t between 0 and 5 seconds.
![D=[0,5]](https://tex.z-dn.net/?f=D%3D%5B0%2C5%5D)
c) The range is all values of height from 0 to 35 meters.
I hope it helps you!