Evaluate: f(x) = -2x + 6 for x = 10.
2 answers:
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Using the normal distribution, it is found that:
a)
b) There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.
c) Low: $23,519.65, High: $26,580.35.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
.
Hence the distribution of X can be described as follows:
The probability that the college graduate has between $14,200 and $33,950 in student loan debt is the <u>p-value of Z when X = 33950 subtracted by the p-value of Z when X = 14200</u>, hence:
X = 33950:
Z = 0.73
Z = 0.73 has a p-value of 0.7673.
X = 14200:
Z = -0.91
Z = -0.91 has a p-value of 0.1814.
0.7673 - 0.1814 = 0.5859.
There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.
Considering the symmetry of the normal distribution, the middle 10% is between the 45th percentile(X when Z = -0.127) and the 55th percentile(X when Z = 0.127), hence:
X - 25150 = -0.127(12050)
X = $23,519.65.
X - 25150 = 0.127(12050)
X = $26,580.35.
More can be learned about the normal distribution at brainly.com/question/4079902
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Hello, My Dear Friend!
Solution for
equation:
<span>Simplifying:
</span>
<span>
</span><span>Reorder the terms:
</span>
<span>
</span><span>Solving:
</span>
<span>
</span><span>Solving for variable 'x'.
</span>Move all terms containing x to the left, all other terms to the right.
<span>Add '12' to each side of the equation.
</span>
<span>
</span>Combine like terms:
<span>
</span><span>Combine like terms: </span>
<span>
</span><span>Divide each side by '20'.
</span>
<span>
</span><span>Simplifying:
</span><span>
Therefore, THAT is The Answer!^^^
</span>=====> x = 3 <=====
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<span>
</span>
Solution for
<span>Simplifying:
</span>
</span><span>Reorder the terms:
</span>
</span><span>Solving:
</span>
</span><span>Solving for variable 'x'.
</span>Move all terms containing x to the left, all other terms to the right.
<span>Add '12' to each side of the equation.
</span>
</span>Combine like terms:
</span><span>Combine like terms: </span>
</span><span>Divide each side by '20'.
</span>
</span><span>Simplifying:
</span>
Therefore, THAT is The Answer!^^^
</span>=====> x = 3 <=====
I Hope my answer has come to your Help. Thank you for posting your question here in
<span>