Question 1 Essay Worth 10 points) (08.02 MC)
Shelly believes the honor roll students at her school have an unfair advantage in being assigned to the math class they request. She asked 500 students at her school the following questions "Are you on the honor rol and Did you get
the math dass you requested? The results are shown in the table below
Honor roll Not on honor roll Total
215
340
Received math class requested 125
Did not get math class requested 80
80
160
Total
205
295
500
Help Shelly determine if all students at her school have an equal opportunity to get into the math dess they requested. Show your work, and explain your process for determining the timess of the class assignment process
SEX Source C

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.