Answer:
Radius = 6.46 meters
Height = 1.46 meters
Step-by-step explanation:
The volume of a cylinder = πr²h
In the above question, we were given
r = (x + 5) meters
h = x meters
Volume = 192 cubic meters
Hence,
192 = π × (x + 5)² × x
192 = π × (x² + 10x + 25) × x
192 = π × (x³ + 10x² + 25x)
Divide both sides by π
192/π = x³ + 10x² + 25x
61.115498147 = x³ + 10x² + 25x
x³ + 10x² + 25x - 61.12
This Quadratic equation is a polynomial
x = 1.46119
From the above:
Radius = (x + 5)meters
Radius = 1.46119 + 5 = 6.46119 meters
Approximately to 2 decimal places = 6.46 meters
Height = x meters
Height = 1.46119 meters
Approximately to 2 decimal places = 1.46 meters
I believe about 750 this is because of you multiply 150 and 5 you get your answer 750 because each 2 minutes she types is 150 and although you can find your average I just add the average 5 times this would be an easier way!!!
As the variation is direct we have:

We must find the value of k.
For this, we use the following data:
y = 200 when x = 5
Substituting values we have:

Clearing k:

Then, the function is:

We evaluate the function for x = -3
Answer:
the value of y when x = -3 is:
c.
72
Answer:
So, the probability is P=0.018.
Step-by-step explanation:
We know that Pedro drives the same route to work on Monday through Friday.
We know that there is a 55% chance that the light will be red.
We get that p=55%=0.55.
We conclude that the probability of not being a red light:
q=1-p=1-0.55=0.45.
We can calculate the probability that from Monday to Friday when Pedro goes to work there will be no red light, as follows:

So, the probability is P=0.018.