Answer:
14110
Step-by-step explanation:
Let x = number of pages;
μ = 12200; σ = 820
Zscore = (x - μ) / σ
Zscore = (x - 12200) / 820
Zcritical for 99% confidence, with a one-tailed test equals 2.33
Hence, Z at 99% = 2.33
Substituting in for Zscore = 2.33
Zscore = (x - 12200) / 820
2.33 = (x - 12200) / 820
2.33 * 820 = x - 12200
1910.6 = x - 12200
1910.6 + 12200 = x
x = 14110.6
x = 14111
The number of pages to advertise for the cartridge is 14,110
The distance from point Y to the flag post measures 38.13 m. Step-by-step explanation: Assuming point Y is located at the intersection of both lines shown. Point X is positioned 34 meters east of point Y. The flagpole at point X is observed at a bearing of N18°W, meaning it creates an angle of 18° to the west from the north at point X. Conversely, at point Y, the flagpole has a bearing of N40°E, which makes a 40° angle towards the east from the north.
Considering ∆ AXY as a right triangle, the angle FXY is established. Then, concerning ∆ BYX as another right triangle, the angle FYX is also determined. To find the third angle ∠YFX in triangle FYX, the angle sum property of triangles can be applied:
∠YFX + ∠FYX + ∠FXY = 180°
Thus, we have: ∠YFX + 50° + 72° = 180° leading to ∠YFX = 58°.
Now we can calculate the distance FY using the sine rule.
