Answer:
mean = sum of the terms/total no. of terms
mean = (16+12+13+22)/4
mean = 63/4 or 15.75
Answer: The central angle of the arc is 162 degrees.
Step-by-step explanation: The information available are as follows;
Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;
Circumference = 2Pi x r
That means 2Pi x r = 10.
Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;
Length of arc = (X/360) x 2Pi x r
Where X is the central angle of the arc
That means;
9/2 = (X/360) x 2Pi x r
We can now substitute for the known values as follows
Length of an arc = (X/360) x 2Pi x r
9/2 = (X/360) x 10
9/2 = 10X/360
By cross multiplication we now have
(9 x 360)/(2 x 10) = X
3240/20 = X
162 = X
The angle at the center of the arc is 162 degrees.
The Lowest Common Denominator of 3 and 4 is the denominator that will
simplify mathematical operations such as addition of the fractions.
- The mistake is the LCD of 3 and 4 is 12 rather than 24
Reasons:
The given fractions are;
The Lowest Common Denominator, is given by the Least Common Multiple of the denominators, which is 3 × 4 = 12
Therefore;
The LCD = 12
The equivalent fractions are therefore;
Therefore, the mistake is using a LCD of 24 rather than 12, given that 12 is lower than 24 and therefore is the LCD of 3 and 4.
By having an LCD of 12, we have;
The equivalent fractions with the LCD will be; 
Learn more about Lowest Common Denominator, LCD here:
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