Which of the following equations have exactly one solution? Choose all answers that apply:
1 answer:
Answer:
a
b
c
d
Step-by-step explanation:
Well lets look,
a)
If both slopes are different and have different y intercepts they have 1 solution.
So a has 1 solution
b)
Both slopes are different with different y intercepts.
1 solution
c)
Both slopes are different with different y intercepts
1 solution
d)
Different slopes different y intercepts
1 solution.
For proof look at the images below.
<em>Thus,</em>
<em>the answer is a,b,c, and d.</em>
<em>Hope this helps :)</em>
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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
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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.