Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Angles in Circles
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A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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Suppose I choose two numbers from the set {1, 2, 3,... 100}. How many have an even sum? Show all work.
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Transcribed Image Text:Suppose I choose two numbers from the set {1, 2, 3,... 100}. How many have an even sum? Show all work.
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Hello. Since your question has multiple parts, we will solve first question for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

Question 1:

According to the given information if two numbers are chosen from the given set, it is required to find how many will have even sum. Given set

Advanced Math homework question answer, step 1, image 1

Step 2

Note that the sum of two numbers is even if they are both either even or both are odd. The sum of one odd number and one even number is odd.

Step 3

Now, find the numbers of even numbers and odd numbers in the given set. Even numbers in the set are:

Advanced Math homework question answer, step 3, image 1

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