Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…
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Question 24

### Question: What is the slope of a line perpendicular to \( y = \frac{3}{4}x + 5 \)? ### Answer Choices: A. \(-\frac{3}{4}\)<br> B. \(\frac{1}{5}\)<br> C. \(\frac{4}{3}\)<br> D. \(-\frac{4}{3}\) ### Explanation: In this problem, we are required to find the slope of a line that is perpendicular to the given line equation \( y = \frac{3}{4}x + 5 \). To solve this, recall that the slope of a perpendicular line is the negative reciprocal of the slope of the given line. The slope-intercept form of a line is written as \( y = mx + b \), where \( m \) represents the slope. Here, the slope \( m \) of the given line is \( \frac{3}{4} \). To find the slope of the perpendicular line, we take the negative reciprocal of \( \frac{3}{4} \): \[ \text{Negative Reciprocal} = -\left( \frac{4}{3} \right) = -\frac{4}{3} \] Therefore, the correct answer is: ### Answer: D. \(-\frac{4}{3}\)
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Transcribed Image Text:### Question: What is the slope of a line perpendicular to \( y = \frac{3}{4}x + 5 \)? ### Answer Choices: A. \(-\frac{3}{4}\)<br> B. \(\frac{1}{5}\)<br> C. \(\frac{4}{3}\)<br> D. \(-\frac{4}{3}\) ### Explanation: In this problem, we are required to find the slope of a line that is perpendicular to the given line equation \( y = \frac{3}{4}x + 5 \). To solve this, recall that the slope of a perpendicular line is the negative reciprocal of the slope of the given line. The slope-intercept form of a line is written as \( y = mx + b \), where \( m \) represents the slope. Here, the slope \( m \) of the given line is \( \frac{3}{4} \). To find the slope of the perpendicular line, we take the negative reciprocal of \( \frac{3}{4} \): \[ \text{Negative Reciprocal} = -\left( \frac{4}{3} \right) = -\frac{4}{3} \] Therefore, the correct answer is: ### Answer: D. \(-\frac{4}{3}\)
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