Answer:
The correct option is:
Company B is more likely; its z-score of 2.77 is closer to the mean than Company A's z-score of 2.82.
Explanation:
The company's whose z score would be closer to 0 would be more likely to produce the package of 43 throat lozenges
The z score for the company A is:
![z=\frac{43-38.2}{1.7} =2.82](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B43-38.2%7D%7B1.7%7D%20%3D2.82)
While the z score for the company B is:
![z=\frac{43-36.9}{2.2}=2.77](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B43-36.9%7D%7B2.2%7D%3D2.77)
Since the z score of company B is closer to 0 than the company A, therefore the company is more likely
I can't really read the formula so I'll give a lecture.
With two vectors we can make a parallelogram. If the vectors are u and v, and one vertex is the origin O, the others are O+u, O+v, and O+v+u. If we draw any diagonal of the parallelogram, that divides it into two congruent triangles. So each triangle is half the area of parallelogram.
The signed area of the parallelogram is given by the two D cross product of the vectors, aka the determinant. So the area of a triangle with vertices (0,0), (a,b) and (c,d) is
![A = \frac 1 2 |ad - bc| = \left| \frac 1 2 \begin{vmatrix} a & b \\ c & d\end{vmatrix} \right|](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%201%202%20%7Cad%20-%20bc%7C%20%3D%20%5Cleft%7C%20%5Cfrac%201%202%20%5Cbegin%7Bvmatrix%7D%20a%20%26%20b%20%5C%5C%20c%20%26%20d%5Cend%7Bvmatrix%7D%20%5Cright%7C)
Applying that to vertices
![(0,0), (x_1, 71), (x_2, 92)](https://tex.z-dn.net/?f=%280%2C0%29%2C%20%28x_1%2C%2071%29%2C%20%28x_2%2C%2092%29)
we get area
![A = \frac 1 2 |\ 92x_1 - 71x_2|](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%201%202%20%7C%5C%2092x_1%20-%2071x_2%7C)
That formula is accurate for any values of x₁ and x₂
b. (1,2),(3,-1)
![A=\frac 1 2|1(-1)-2(3)| = \frac 1 2 |-7| = \frac 7 2](https://tex.z-dn.net/?f=A%3D%5Cfrac%201%202%7C1%28-1%29-2%283%29%7C%20%3D%20%5Cfrac%201%202%20%7C-7%7C%20%3D%20%5Cfrac%207%202)
Answer: 7/2
Answer:
To ![f(x)=0.5ln(x)}](https://tex.z-dn.net/?f=f%28x%29%3D0.5ln%28x%29%7D)
view graph
Step-by-step explanation:
To
we can say that
then we find cut points. For y=0
⇒![0=lnx\\e^{0}=e^{lnx}\\1=x](https://tex.z-dn.net/?f=0%3Dlnx%5C%5Ce%5E%7B0%7D%3De%5E%7Blnx%7D%5C%5C1%3Dx)
as can be seen in the graph for any value of y greater that 0, x will always take values greater than 1, for values of y less than 0, x will take values less than 1