Answer:
The mean is also increased by the constant k.
Step-by-step explanation:
Suppose that we have the set of N elements
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
Now if we increase each element of our set by a constant K, then our new set is:
{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}
The mean of this set is:
M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N
M' = (x₁ + x₂ + ... + xₙ + N*k)/N
We can rewrite this as:
M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N
and (x₁ + x₂ + ... + xₙ)/N was the original mean, then:
M' = M + (k*N)/N
M' = M + k
Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.
The distance from the edge of the wall of the cabinet will be 1 3/8 feet.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Bobby is hanging a cabinet above the washer and dryer in the laundry room.
The cabinet is 3 1/2 feet wide and 2 feet tall.
If he wants to center the cabinet horizontally on a wall that is 6 1/4 feet wide.
The dimensions in the fraction are given as,
Width = 3 1/2 = 7/2 feet
Wall length = 6 1/4 = 25/4 feet
Then the distance from the edge of the wall of the cabinet will be
⇒ [(25/4) - (7/2)] / 2
⇒ (11/4) x (1/2)
⇒ 11/8
⇒ 1 3/8 feet
The distance from the edge of the wall of the cabinet will be 1 3/8 feet.
More about the geometry link is given below.
brainly.com/question/16836548
#SPJ1
Answer:
x=16
Step-by-step explanation:
