Answer:
20%
Step-by-step explanation:
because 15/75×100 =1/5×100=20%
The exponential function is
<h3>How to determine the equation?</h3>
An exponential function is represented as:
y = b^x
Where b represents the base.
The base is given as:
b = 12
So, we have:
y = (12)^x
It is vertically compressed by a factor of 1/8.
So, we have:
y = 18(12)^x
When reflected across the y-axis, we have:
The horizontal asymptote is y = 2.
So, we have:
It passes through the point (-3, 4).
So, we shift the function to the right by 4 units
Express as a function
Hence, the exponential function is
Read more about exponential functions at:
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The measurement of ABC is 125 degrees.
Answer:
AC=BD
CAD=CBD
ACB=ADB
Step-by-step explanation:
You're essentially looking for anything of equal proportions. Obviously, your circle is split by several lines, and each side is symmetric. Since you know this, it's simply a matter of identifying one element then finding its symmetric match.
Follow the lines and trace the path with your finger for each question. If you do this, you'll see that AC=BD is an answer that involves a symmetric pair, because these two are equal distances and equal (but opposite) in placement.
Continuing with this method, keep track of the parts of the triangles you trace. With CAD=CBD, you trace across a hypotenuse, a leg, and a base in BOTH, making this true.
Continuing further with ACB=ADB, you trace across a hypotenuse, a leg, and a base with both AGAIN, making this true.
With AB=CD, this is obviously incorrect. You can't jump between points.
We're told that
a. We want to find . By definition of conditional probability,
By the law of total probability,
Then
(the first equality is Bayes' theorem)
b. We want to find .
since .