Kinsey surveyed a random group of 7th graders as to whether they preferred video games, sports, or neither. use the survey results to make predictions for the entire 7th-grade class with 350 students A
what is a reasonable prediction for the total number of 7th graders that prefer video games

B
what is the most responsible prediction of the number of votes for videos games in the next 80 votes

A. a little more than 1/4 of the students prefer video games

B. I think the most reasonable prediction is 25

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.

i dont know sorry

step-by-step explanation: