In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class does not have a cat or a dog? Has a cat Does not have a cat Has a dog Does not have a dog 11
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class does not have a cat or a dog? Has a cat Does not have a cat Has a dog Does not have a dog 11
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.4: Applications
Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...
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Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
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Transcribed Image Text:---
## Probability from a Two Way Table
**Julian Ervin**
**Probability from a Two Way Table**
**May 25, 2:22:53 PM**
**Watch help video**
---
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class does not have a cat or a dog?
| | Has a cat | Does not have a cat |
|--------------------|-----------|---------------------|
| **Has a dog** | 9 | 2 |
| **Does not have a dog** | 6 | 11 |
---
### Explanation:
The given two-way table displays the distribution of students based on two categories: owning a cat and owning a dog. The table is structured as follows:
**Rows:**
- The first row indicates whether the student has a cat.
- The second row includes whether the student does not have a cat.
**Columns:**
- The 'Has a dog' column indicates the number of students who have a dog.
- The 'Does not have a dog' column indicates the number of students who do not have a dog.
**Intersection of Rows and Columns:**
- The cell at the intersection of 'Has a cat' and 'Has a dog' contains 9, meaning 9 students have both a cat and a dog.
- The cell at the intersection of 'Has a cat' and 'Does not have a dog' contains 2, meaning 2 students have a cat but not a dog.
- The cell at the intersection of 'Does not have a cat' and 'Has a dog' contains 6, indicating 6 students have a dog but not a cat.
- The cell at the intersection of 'Does not have a cat' and 'Does not have a dog' contains 11, representing 11 students who do not have either a cat or a dog.
### To Solve:
- To find the total number of students, sum all the cells in the table:
Total students = 9 (cat + dog) + 2 (cat only) + 6 (dog only) + 11 (neither)
Total students = 28
- To find the probability that a randomly chosen student does not have a cat or a dog, use the value in the cell 'Does not have a cat' and 'Does
![# Pythagorean Theorem (Level 1)
### May 25, 2:22:40 PM
## Find the length of the third side. If necessary, round to the nearest tenth.
A right triangle is shown with two sides labeled as '11'. You're tasked with finding the length of the hypotenuse (the third side).
### Diagram Description:
- Right triangle with both legs (perpendicular sides) of the triangle marked as 11 units each.
- The hypotenuse (opposite the right angle) is the side you need to find.
### Solution:
To find the length of the hypotenuse (c) in a right triangle with legs (a) and (b), use the Pythagorean Theorem:
\[ c^2 = a^2 + b^2 \]
Given:
\[ a = 11 \]
\[ b = 11 \]
Calculate:
\[ c = \sqrt{11^2 + 11^2} \]
\[ c = \sqrt{121 + 121} \]
\[ c = \sqrt{242} \]
Finally:
\[ c \approx 15.6 \]
### Answer Submission:
There's a text box provided for entering the answer and a "Submit Answer" button.
### Example Answer:
Input the value `15.6` in the 'Answer' textbox and click on 'Submit Answer' to check your solution.
**Note:** You have 1 attempt out of 2 remaining to submit your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a504ba1-c0f0-4a58-ab8f-840a9b2a22b2%2F5b42585e-6522-461d-9e5d-b519cd52a264%2F8pgygnf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Pythagorean Theorem (Level 1)
### May 25, 2:22:40 PM
## Find the length of the third side. If necessary, round to the nearest tenth.
A right triangle is shown with two sides labeled as '11'. You're tasked with finding the length of the hypotenuse (the third side).
### Diagram Description:
- Right triangle with both legs (perpendicular sides) of the triangle marked as 11 units each.
- The hypotenuse (opposite the right angle) is the side you need to find.
### Solution:
To find the length of the hypotenuse (c) in a right triangle with legs (a) and (b), use the Pythagorean Theorem:
\[ c^2 = a^2 + b^2 \]
Given:
\[ a = 11 \]
\[ b = 11 \]
Calculate:
\[ c = \sqrt{11^2 + 11^2} \]
\[ c = \sqrt{121 + 121} \]
\[ c = \sqrt{242} \]
Finally:
\[ c \approx 15.6 \]
### Answer Submission:
There's a text box provided for entering the answer and a "Submit Answer" button.
### Example Answer:
Input the value `15.6` in the 'Answer' textbox and click on 'Submit Answer' to check your solution.
**Note:** You have 1 attempt out of 2 remaining to submit your answer.
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