Option D:
is the solution to the system of equations.
Explanation:
Given that the equations are
and ![2x+y=4](https://tex.z-dn.net/?f=2x%2By%3D4)
We need to determine the solution of the system of equations.
The solution can be determined by solving the two equations.
Let us solve the system of equations using substitution method.
Consider the equation
, the value of y is given by
![y=10-4x](https://tex.z-dn.net/?f=y%3D10-4x)
Substituting the value of
in the equation
, we get,
![2x+(10-4x)=4](https://tex.z-dn.net/?f=2x%2B%2810-4x%29%3D4)
Simplifying, we get,
![2x+10-4x=4](https://tex.z-dn.net/?f=2x%2B10-4x%3D4)
![-2x+10=4](https://tex.z-dn.net/?f=-2x%2B10%3D4)
![-2x=-6](https://tex.z-dn.net/?f=-2x%3D-6)
![x=3](https://tex.z-dn.net/?f=x%3D3)
Substituting the value of
in
, we get,
![4(3)+y=10](https://tex.z-dn.net/?f=4%283%29%2By%3D10)
![12+y=10](https://tex.z-dn.net/?f=12%2By%3D10)
![y=-2](https://tex.z-dn.net/?f=y%3D-2)
Thus, the solution to the system of equations is ![x=3,y=-2](https://tex.z-dn.net/?f=x%3D3%2Cy%3D-2)
Hence, Option D is the correct answer.
<span>The object's speed is 8/5 miles per hour or 1.6 mph.</span>
Answer:
Type 1 error.
Step-by-step explanation:
H0 : μ = 5.1
H1 : μ ≠ 5.1
The Pvalue of the test = 0.003
Decision made by the researcher was conclude that mean weight is not as advertised, that is the researcher rejected the Null hypothesis.
However, when the Pvalue is < α - value , we reject the null ; The type of error the researcher could have made is that ; The mean weight may be truly as advertised, Hence, leading us to make a false positive error, thus is rejecting a true null. This is a TYPE 1 error.
Answer:
Domain:
(
−
∞
,
∞
)
Step-by-step explanation: