Answer:
Step-by-step explanation:
given is a system of linear equations in 3 variables as
This can be represented in matrix form as
AX=B Or
So solution set
X would be
|A|=-1(-1)+4(0)+2(-1)=--1
Cofactors of A are
-1 0 -1
-2 -1 -3
0 1 2
So inverse of A is
1 2 0
0 1 -1
1 3 -2
Solution set would be
x=12
y=-3
z=-5
Answer:
The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"
Step-by-step explanation:
Null and alternative hypothesis:
Significance level:
It is decided that the null hypothesis at the defined meaning level is rejected.
Answer: 336.14 cm²
Step-by-step explanation:
To find the area of the rectangle after being cut, we want to find the area of the two semicircles and subtract it from the area of the rectangle. The area of the rectangle is just base times height, or 35cm times 14cm = 490cm² . Since there are two semicircles with the same diameter, we can just solve for the area of a circle and subtract it. To find the area of the circle, we need the radius, which we get by dividing the diameter by 2. After that, we calculate the radius to be 7cm, squared and multiplied by 3.14 (area of a circle) to get 153.86 cm². Subtract the areas, and we get 490 - 153.86 = 336.14 cm²
Question # 17 Solution
Answer:
Step-by-step Explanation:
The given expression
And we have to solve for x₁
So,
Lets solve for x₁.
Multiply both sides by x₂ - x₁
Divide both sides by -m
Therefore,
Question # 23 Solution
Answer:
Step-by-step Explanation:
The given expression
And we have to solve for n
So,
Let's solve for n.
Multiply both sides by b.
Factor out n.
Divide both sides by -b + x.
Therefore,
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Answer:
40 + x = y
Just use the variables given to make an equation.