Walter’s history test scores and janine’s history test scores are shown on the dot plot below. if each student gets 65 on the next test, which explains the measure of the center that would be most affected? a. their means it will be most affected because this value will be an outlier. b. their modes will be most affected because the distribution has changed. c. janine’s median will be more affected than walter’s medium because her overall scores were greater. d. walter’s median will be more affected than janine‘s median because he had a gap in the original data.

A.Their means it will be most affected because this value will be an outlier.  

Step-by-step explanation:

The mean is found by adding together the data points and then dividing by the number of data points.  For this reason, the mean is most affected by an outlier, or a number very different from the others.

A high outlier will make the sum of the data points higher; this in turn makes the mean higher.

A low outlier means the sum of the data points does not increase as much as it would have with other numbers; this in turn makes the mean lower.

Since 65 is much lower than the other values, it is an outlier.  Including it will affect the mean the most.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180