Given data:
The first equation is 3j +14=-5z.
The second equation is -10j=5z .
Add both the equations.
![\begin{gathered} (3j+14)+(-10j)=-5z+5z \\ -7j+14=0 \\ 7j=14 \\ j=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%283j%2B14%29%2B%28-10j%29%3D-5z%2B5z%20%5C%5C%20-7j%2B14%3D0%20%5C%5C%207j%3D14%20%5C%5C%20j%3D2%20%5Cend%7Bgathered%7D)
Substitute 2 for j in the first equation.
![\begin{gathered} 3(2)+14=-5z \\ 20=-5z \\ z=-4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203%282%29%2B14%3D-5z%20%5C%5C%2020%3D-5z%20%5C%5C%20z%3D-4%20%5Cend%7Bgathered%7D)
Thus, the value of j is 2 and z is -4.
Answer:
<u>1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>
Step-by-step explanation:
1. Let's review all the information provided for solving this question:
Proportion of patrons that are male at Joe's restaurant = 1/4
Proportion of patrons that are from out of town at Joe's restaurant = 1/5
2. What proportion would you expect to be male and out of town?
For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:
Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant
<u>1/4 * 1/5 = 1/20 </u>
<u>It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>
Answer:
Step-by-step explanation:
The 3 angles must add up to 180. So
6x + 4x + 2x = 180
12x = 180
x = 15
Plug this into all the angles and you have your answers
The length of the radius would sqrt(1+4), or sqrt(5).
2
The angle would be in Quadrant II and would be arctan ------ , or arctan (-2).
-1
Find this angle using a calculator or table.
Then you end up with -1+2i = sqrt(5) angle arctan(-2). The angle would be + and measured from the + horizontal axis.