Pre-Algebra
Pre-Algebra
1st Edition
ISBN: 9780618800766
Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold
Publisher: Houghton Mifflin-High School
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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
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Chapter 7.2, Problem 25E

a.

To determine

The percentage of Spaniel dogs that competed.

The percentage of Sheepdog dogs that competed.

a.

Expert Solution
Check Mark

Answer to Problem 25E

The percentage of Spaniel dogs that competed = 20%

The percentage of Sheepdog dogs that competed = 62.5%

Explanation of Solution

Given:

In a dog agility competition, dogs are tested in their ability to get pass obstacles.

The table given in the question:

  Pre-Algebra, Chapter 7.2, Problem 25E , additional homework tip 1

Calculation:

As per the problem

Consider the table,

  Pre-Algebra, Chapter 7.2, Problem 25E , additional homework tip 2

Number of Sheepdogs that competed= 75

Number of Spaniel dogs that competed= 24

Number of terrierdogs that competed= 14

Number of other breeddogs that competed= 7

Total number of dogs that competed = 75+24+14+7=120

Percent of Spaniel dogs that competed=  number of Spaniel dogstotal number of dogs×100 =24120×100=20%. [Put the values and simplify]

Percent of Sheepdogs that competed = number of Sheepdog dogstotal number of dogs×100 =75120×100=62.5%. [Put the values and simplify]

Hence,

The percentage of Spaniel dogs that competed = 20%

The percentage of Sheepdogs that competed = 62.5%

Conclusion:

The percentage of Spaniel dogs that competed = 20%

The percentage of Sheepdogs that competed = 62.5%

b.

To determine

The percent of the sheepdogs that finished in the top half.

b.

Expert Solution
Check Mark

Answer to Problem 25E

  56% of sheepdogs finished in the top 60.

Explanation of Solution

Given:

Number of Sheepdogs that competed= 75

Total number of dogs that competed = 120

  70% of the dogs that finished in the top half  are sheepdogs.

Calculation:

As per the given problem

Number of Sheepdogs that competed= 75

Total number of dogs that competed = 120

Among the top 60 , 70%  are sheepdogs , that is , 70% of 60 are sheepdogs .

Therefore,

  70% of 60=70100⋅60=42 [Write the percentage in fraction form and simplify]

Therefore,

  42 sheepdogs finished in the top 60.

Percent of sheepdogs that finished in the top half = number of Sheepdogs in the top halftotal number of sheepdogs×100 =4275×100=56%. [Put the values and simplify]

Conclusion:

  56% of sheepdogs finished in the top 60.

Previous
Chapter 7.2, Problem 24E
Next
Chapter 7.2, Problem 26E

Chapter 7 Solutions

Pre-Algebra

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