Answer:
32 liters is the volume of the glass tank
Answer:
Go to desmos graphing calc
Step-by-step explanation:
Complete Question
The complete question is shown on the first uploaded image
Answer:
The confidence level interval is 
Step-by-step explanation:
The sample size is 
The number planning to increase workforce is 
The confidence level is
%
The value of proportion for a plus 4 method is

substituting values


The z-critical value at confidence level of 98% is

This values is obtained from the standard normal table
The confidence level interval can be mathematically represented as

substituting values


=> 
Answer:

Step-by-step explanation:
The <em>Richter scale</em>, the standard measure of earthquake intensity, is a <em>logarithmic scale</em>, specifically logarithmic <em>base 10</em>. This means that every time you go up 1 on the Richter scale, you get an earthquake that's 10 times as powerful (a 2.0 is 10x stronger than a 1.0, a 3.0 is 10x stronger than a 2.0, etc.).
How do we compare two earthquake's intensities then? As a measure of raw intensity, let's call a "standard earthquake" S. What's the magnitude of this earthquake? The magnitude is whatever <em>power of 10</em> S corresponds to; to write this relationship as an equation, we can say
, which we can rewrite in logarithmic form as
.
We're looking for the magnitude M of an earthquake 100 times larger than S, so reflect this, we can simply replace S with 100S, giving us the equation
.
To check to see if this equation is right, let's say we have an earthquake measuring a 3.0 on the Richter scale, so
. Since taking 100 times some intensity is the same as taking 10 times that intensity twice, we'd expect that more intense earthquake to be a 5.0. We can expand the equation
using the product rule for logarithms to get the equation

And using the fact that
and our assumption that
, we see that
as we wanted.
Proportional: the same
6 / 36 = 0.166....
1 / 6 = 0.166...
So they are proportional.
You can also multiply/divide (depends) one of the fractions's numerator and denominator by 6 to get your answer.
6 / 36 = 6/6 / 36/6 = 1/6
1/6 = 1*6 / 6*6 = 6 / 36