? What is this math question mean?
A rational number is simply a term that can be expressed as a fraction. Otherwise, that is an irrational number. So, you can use a calculator to verify if the number is rational or not.
The key characteristic of an irrational number is when it contains a long line of decimal places. For example, the term π and the Euler's number e are irrational numbers. The exact values of π and e are 3.14159 and <span>2.71828182846, respectively. In reality, those decimal places go on a long way. Particularly, </span>π<span> has a total of 2.7 trillion digits. Numbers inside radicals or roots can also be irrational numbers. For example </span>√3 is irrational because it is equal to 1.732050808. However, not all radicals are irrational. For example √15.3664 is equal to 98/25 or 3.92. That is a rational number. So, therefore, use the calculator to know the exact value of the term to properly distinguish rational from irrational.
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling
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Answer:
Probability of rolling a number greater than 2 = 5/6
Step-by-step explanation:
Given:
Number;
1,2,3,4,5,6,7,8,9,10,11,12
Find:
Probability of rolling a number greater than 2
Computation:
Number greater than 2 = 10
Probability of rolling a number greater than 2 = Number greater than 2 / Total number
Probability of rolling a number greater than 2 = 10 /12
Probability of rolling a number greater than 2 = 5/6
Answer:
(a) There are outliers
(b) 
and 
Step-by-step explanation:
Given
Solving (a): Check for outliers
This is calculated using:
--- lower bound of outlier
--- upper bound of outlier
Where
So, we have:
The lower bound of outlier becomes
The upper bound of outlier becomes
So, we have:
--- the range without outlier
Given that:
--- This represents the lowest data
--- This represents the highest data
-24 and 64 are out of range of .
Hence, there are outliers
Solving (b): The outliers
The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)
So, the outliers are:
and
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