The answer is 6 so it’s the first answer choice
Answer:

Step-by-step explanation:
Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.
So, dV/dt = 0.03.
We want to show that dS/dt is directly proportional to 1/r.
In other words, we want to establish the relationship that dS/dt = k(1/r), where k is some constant.
First, the volume of a sphere V is given by:

Therefore:

Next, the surface area of a sphere S is given by:

Therefore:

We can divide both sides by 2:

We can substitute this into dV/dt. Rewriting:

So:

Since dV/dt = 0.03 or 3/100:

Therefore:

Where k = 3/50.
And we have shown that dS/dt is directly proportional to 1/r.
Answer:
What are Confidence Intervals in Statistics? By Saul McLeod, published June 10, 2019.
Step-by-step explanation:
The confidence interval (CI) is a range of values that's likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval. hope this helps you :)
Answer:
Total amount of water in cooler = 144 ounce
Amount of water used to fill his bottle = 16 ounce
Amount of water filled in single plastic cup = x ounce
Total number of cups = 16
The equation for the given information is
⇒ 16 + 16 x=144
⇒16 x=144- 16
⇒ 16 x=128
⇒ x= 128÷16
⇒ x=8
Amount of water in each cup= 8
It is not mentioned that after filling 16 plastic cups is there water left in cooler.
If water is left in cooler after filling 16 plastic cups, suppose it's volume is y -ounce.
Then the equation becomes
⇒144=16 +16 x + y
⇒ 16 x + y =144-16
⇒16 x + y =128
So it is equation in two variables , so for different amount of water left in cooler(y), there will be be different ounces of water in plastic cups(x).