The equation for the given sequence representing the diameter of the circle is
f(n) = f(n-1) + 0.6, where f(1) = 2.5
Given, a sequence of diameters of a circle used to create an art project
2.5 , 3.1 , 3.7 , 4.3
We have to find a sequence that represents the diameter of the given circle,
Let f(n) be representing the diameter of the circle,
Now, for n = 1
f(n) = 2.5
for n = 2
f(n) = 3.1
for n = 3
f(n) = 3.7
for n = 4
f(n) = 4.3
As, f(2) = f(1) + 0.6 and so,
So, f(n) = f(n-1) + 0.6
Hence, the equation for the given sequence representing the diameter of the circle is
f(n) = f(n-1) + 0.6, where f(1) = 2.5
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Answer:
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The ACT score was better since the z-score of the ACT is greater than the z-score of the SAT. Then the correct option is B.
<h3>What is a normal distribution?</h3>
It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The z-score is given as

In 1985, the average ACT score was 18 with a standard deviation of 6.
Also in 1985, the average SAT score was 500 with a standard deviation of 100.
Dr. Robertson took both tests in 1985 and scored a 26 on the ACT and a 620 on the SAT.
Then the z-score of the ACT will be

Then the z-score of the SAT will be

Then the ACT score was better since the z-score of the ACT is greater than the z-score of the SAT.
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Answer:
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