COMPLETE QUESTION:
Find some means. Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50 and standard deviation 8. Find the mean of the random variable Z for each of the following cases. Be sure to show your work.
a) Z = 35-10X
b) Z = 12X-5
c) Z = X+Y
d) Z = X-Y
e) Z = 2X+2Y
Answer:
a) -265
b) 355
c) 80
d) -20
e) 40
Step-by-step explanation:
The attachment below contains the whole calculations that provides for the answers above
The least common multiple is 24
Answer:
The total surface area of the cube, including the bottom is
22 m squared.
Step-by-step explanation:
a) Data and Calculations:
Side length = 3 m
Side height = 2 m
Side width = 1 m
The total surface area of the cube, including the bottom is given by the formula, 2lw+2lh+2hw), where l = length, w = width, and h = height.
This can also be rewritten as:
2(l*w + l*h + h*w)
= 2 (3*1 + 3*2 + 2*1)
= 2 (3 + 6 + 2)
= 2 (11)
= 22
b) Ernst should know that the surface area of a cube is the sum of the areas of all faces (or surfaces) because it is a 3D shape. Since the cuboid has 6 rectangular faces, Ernest can determine the surface area by adding the areas of all 6 faces or surfaces. Similarly, he can label the length as (l), width as (w), and height as (h) and use the formula, SA=2lw+2lh+2hw, to find the surface area. This formula can also be rewritten as 2(l*w + l*h + h*w).
