A median is the middle number of a data set. To find it put the numbers in order. 9, 10, 10, 11, 12, 13, 13, 14, 14, 14, 16, 16 Then find the middle number 9, 10, 10, 11, 12, 13, 13, 14, 14, 14, 16, 16
The median is 13
A mode is a number that appears the most. 9, 10, 10, 11, 12, 13, 13, 14, 14, 14, 16, 16
The mode is 14
Hope this helped! If you have anymore questions or don't understand, please comment on my profile or DM me. :)
Part 1 Triangles VPU and SPU are congruent because of SSA. Therefore, ∠TUV = ∠TUS = 39°. Because angles in quadrilateral PVUS sum to 360°, therefore The Central ∠VPS = 360 -(90+39+39+90) = 102°. The measure of arc VTS = ∠VPS = 102°.
Part 2 We know that line segments PO = PS = PT = 6 in (radius). Because TO is a diameter, ∠TMO = 90°. From the indicated right triangles ΔUPV, ΔUPS, ΔMOT, we can calculate the lengths of PU, US, UV, MT and MO.
Part 3 Angles in a triangle sum to 90°. Because ∠MOP = 49°, therefore ∠MTO = 90 - 49 = 41°. ∠VPU = ∠SPU = 90 - 39 = 51°.
The actual speed of the plane with the wind: v² = ( 150 + 50 · cos 45°)² + ( 50 · sin 45°)² v² = ( 150 + 35.355 )² + 35.355² v² = 34,356.467 + 1,249.976 v = √35,606.452 v = 188.7 mph