Answer:
The width of the border can be 9 feet or 3.5 feet.
Step-by-step explanation:
Let the width be x
Length of room = 10 feet
Breadth of room = 15 feet
Length of rug = 10-2x
Breadth of rug = 15-2x
Area of rug =
We are given that the area of the rug is 24 square feet.
So,
---A






Substitute x =9 in A


LHS = RHS
Substitute x = 3.5


LHS = RHS
So, The width of the border can be 9 feet or 3.5 feet.
Answer:
Step-by-step explanation:
From the given data
we observed that the missile testing program
Y1 and Y2 are variable, they are also independent
We are aware that
have
distribution with 1 degree of freedom
and
has x^2 with 2 degree of freedom

Since we have to find the density formula

We use method of transformation

There inverse function is 
We derivate the fuction above with respect to u

Therefore,

The answer is x=5. This is because you need to simplify both sides and then isolate the variable.
Step-by-step explanation:
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Answer:
18
Step-by-step explanation:
w varies directly with z, let k be the constant of proportionality, hence this can be represented by the equation:
w = kz
When z = 4, w = 12, hence we need to find the value of the constant of proportionality, substituting:
12 = 4k
Dividing both sides by 4:
12/4 = 4k/4
k = 3
Therefore the equation becomes:
w = 3z
The value of w when z = 6 is given as:
w = 3(6)
w = 18