Aresearch group interested in understanding the effect of listening to classical music on learning mathematics conducted a study. one hundred students were randomly assigned to one of two groups. the first group listened to classical music as they learned a new lesson. the second group learned the same lesson with no music playing. both groups were tested on the new material to determine how much they learned. the results for the two groups were compared. what kind of study is this?
a). this is an observational study because students were randomly assigned to groups.
b).this is an observational study because a treatment was applied to both groups.
c).this is an experiment because a treatment was applied to a group.
d).this is an experiment because students were able to choose which group to join.

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.

where are the images of the functions i can only see the question you typed.

step-by-step explanation:

step-by-step explanation:

im pretty sure its

(8,15)

step-by-step explanation: