The modal score would be 71. 71 appears the most in the list.
Answer:




Solving for
we got
and replacing this we got:



And then the best option for this case would be:
b.csc x
Step-by-step explanation:
For this case we have the following expression given:

We know from math properties that the definition for cot is 
If we use this definition we got:


Now we can use the following identity:

Solving for
we got
and replacing this we got:



And then the best option for this case would be:
b.csc x
Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
ANSWER
1.39
EXPLANATION
The given quadratic equation is

This is the same as,

Comparing to

We have
a=2, b=3,c=-8
Using the quadratic formula, the solution is given by:

We substitute the values to get,


The positive root is

to the nearest hundredth.
55 miles per hour, to answer questions like these you need to calculate the time (T=D/R) for each individual portion of the trip, add the time together to get total time, and then divide the total distance by the total time in order to get the average velocity in mph.