21 hours
73.50 x 3.50 = 21 hours
Answer:
(a) moment generating function for X is 
(b) 
Step-by step explanation:
Given X represents the number on die.
The possible outcomes of X are 1, 2, 3, 4, 5, 6.
For a fair die, 
(a) Moment generating function can be written as
.



(b) Now, find
using moment generating function




Hence, (a) moment generating function for X is
.
(b) 
Answer:
The distance you are from the base of plateau = 
Step-by-step explanation:
Given:
Height of plateau = 70 m
Angle of elevation to the top of plateau = 35°
To find the distance you are from the base of plateau.
We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.
We will apply trigonometric ratio to find the adjacent side.

where
represents the angle of reference.
Plugging in the values from the triangle.


Multiplying both sides by AC.


Dividing both sides by 

∴ 
The distance you are from the base of plateau = 
C I’m pretty sure it’s that if not shame me