Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![**Equation 7:**
\[ \frac{1}{x} = \frac{2}{3} - \frac{5}{6} \]
This equation involves finding the value of \( x \) by solving the given expression. On the left, the fraction \( \frac{1}{x} \) represents the reciprocal of \( x \). On the right, subtract the fractions \(\frac{5}{6}\) from \(\frac{2}{3}\). To perform the subtraction, you’ll need a common denominator, which in this case is 6.
**Steps for Solution:**
1. Convert \(\frac{2}{3}\) to a fraction with a denominator of 6:
\[ \frac{2}{3} = \frac{4}{6} \]
2. Perform the subtraction:
\[ \frac{4}{6} - \frac{5}{6} = \frac{-1}{6} \]
3. The equation now looks like:
\[ \frac{1}{x} = \frac{-1}{6} \]
4. Solve for \( x \) by taking the reciprocal:
\[ x = -6 \]
Thus, the solution to the equation is \( x = -6 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3743c9a9-299b-401d-95db-6f1dd2cf7f80%2F173a443a-54a1-4c85-aa41-8a08500daf3b%2Fxyfsdd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Equation 7:**
\[ \frac{1}{x} = \frac{2}{3} - \frac{5}{6} \]
This equation involves finding the value of \( x \) by solving the given expression. On the left, the fraction \( \frac{1}{x} \) represents the reciprocal of \( x \). On the right, subtract the fractions \(\frac{5}{6}\) from \(\frac{2}{3}\). To perform the subtraction, you’ll need a common denominator, which in this case is 6.
**Steps for Solution:**
1. Convert \(\frac{2}{3}\) to a fraction with a denominator of 6:
\[ \frac{2}{3} = \frac{4}{6} \]
2. Perform the subtraction:
\[ \frac{4}{6} - \frac{5}{6} = \frac{-1}{6} \]
3. The equation now looks like:
\[ \frac{1}{x} = \frac{-1}{6} \]
4. Solve for \( x \) by taking the reciprocal:
\[ x = -6 \]
Thus, the solution to the equation is \( x = -6 \).
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