The inequality n <span>≥ 9 properly represents the graph because the arrow is pointing to the right of 9, and the dot is filled in on 9, representing Greater than or equal to.
Hope that helped!</span>
First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:
![\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20W_x%3DW%5Ccos45%C2%B0%5C%5C%20%5C%5C%20W_x%3D50%5Ccdot0.707%5C%5C%20%5C%5C%20W_x%3D35.35%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20W_y%3DW%5Csin45%C2%B0%5C%5C%20%5C%5C%20W_y%3D50%5Ccdot0.707%5C%5C%20%5C%5C%20W_y%3D35.35%20%5Cend%7Bgathered%7D)
![\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A_x%3DA%5Ccos270%C2%B0%5C%5C%20%5C%5C%20A_x%3D540%5Ccdot0%5C%5C%20%5C%5C%20A_x%3D0%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20A_y%3DA%5Csin270%C2%B0%5C%5C%20%5C%5C%20A_y%3D540%5Ccdot%28-1%29%5C%5C%20%5C%5C%20A_y%3D-540%20%5Cend%7Bgathered%7D)
Now, let's add the components of the same direction:
![\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20V_x%3DW_x%2BA_x%3D35.35%2B0%3D35.35%5C%5C%20%5C%5C%20V_y%3DW_y%2BA_y%3D35.35-540%3D-504.65%20%5Cend%7Bgathered%7D)
To find the resultant bearing (theta), we can use the formula below:
![\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctheta%3D%5Ctan%5E%7B-1%7D%28%5Cfrac%7BV_y%7D%7BV_x%7D%29%5C%5C%20%5C%5C%20%5Ctheta%3D%5Ctan%5E%7B-1%7D%28%5Cfrac%7B-504.65%7D%7B35.35%7D%29%5C%5C%20%5C%5C%20%5Ctheta%3D-86%C2%B0%20%5Cend%7Bgathered%7D)
The angle -86° is equivalent to -86 + 360 = 274°.
Therefore the correct option is b.
The test statistic <span>is
a value used in making a decision about the null hypothesis and is
found by converting the sample statistic to a score with the assumption
that the null hypothesis is true.
</span>
Answer:
d
Step-by-step explanation:
d
3x10
+ 4x1
+ 5x1/(10)
+ 7x1/(100)
+ 6×1/(1,000)