Answer:
7949.13 feet
Step-by-step explanation:
We are given that,
Angle of depression from the spot to the group = 39°
Height of Grand Canyon = 5000 feet.
So, we will get the following figure of a right triangle.
<em>As, 'in a right triangle, the angles and the sides can be written in trigonometric form'.</em>
We get, 
i.e. 
i.e. 
i.e. 
i.e. x = 7949.13 feet
Thus, the line of sight distance is 7949.13 feet.
Answer: a) -$0.19, b) -$111.72 .
Step-by-step explanation:
Since we have given that
Number of free throws = 434
Number of throws made by them = 390
Amount for making the next 2 free throws = $40
Amount otherwise he has to pay = $169
a) Find the expected value of the proposition.
Expected value of success in next 2 free throws = 
Expected value would be

b) If you played this game 588 times how much would you expect to win or lose?
Number of times they played the game = 588
So, Expected value would be

Hence, a) -$0.19, b) -$111.72
Answer:
This is easy -- it's just a list of steps. At this level, the problems are pretty simple.
Let's just do one, then I'll write out the list of steps for you.
Find the inverse of f( x ) = -( 1 / 3 )x + 1
STEP 1: Stick a "y" in for the "f(x)" guy:
y = -( 1 / 3 )x + 1
STEP 2: Switch the x and y
( because every (x, y) has a (y, x) partner! ):
x = -( 1 / 3 )y + 1
STEP 3: Solve for y:
x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3
STEP 4: Stick in the inverse notation, f^( -1 )( x )
f^( -1 )( x ) = -3x + 3
Step-by-step explanation: