<u>First, create M</u> (the set of all perfect square roots less than 100)
1² = 1, 2² = 4, 3² = 9, 4² = 16, 5² = 25, 6² = 36, 7² = 49, 8² = 64, 9² = 81, 10² = 100 (disregard 10² since it is not LESS THAN 100)
M = {1, 2, 3, 4, 5, 6, 7, 8, 9} <em>not sure if you want to include the negatives)</em>
<u>Next, create N</u> (the set of all even number less than 30)
N = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}
<u>M ∩ N</u> = {2, 4, 6, 8}
Answer:
Given in the information set as
26, 34, 38, 49, 65, 76, 81
Sum = 369
No of entries = 7
Mean =52.71
When 1213 is included
New sum = 1582
No of entries =8
The new mean will be 197.75
Thus mean will be increased by 145.04
Step-by-step explanation:
Factor out 6 from each term.
Take 6 as a common factor.
The value of x is 30
<u><em>Solution:</em></u>
Given that measure of exterior angle of regular polygon is 2x
The measure of interior angle is 4x
To find: value of x
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
measure of exterior angle + measure of interior angle = 180
2x + 4x = 180
6x = 180
x = 30
<em><u>Finding the measure of an exterior angle</u></em>
measure of exterior angle = 2x = 2(30) = 60 degrees
<em><u>Finding the measure of interior angle</u></em>
measure of interior angle = 4x = 4(30) = 120 degrees
