If Max makes 45 out of 60 shots with the basketball, how many would you expect him to make if he only shot the basketball 15 times?

11

Step-by-step explanation:

Probability of Max making a shot is 45/60=¾

Here, probability, p=¾ or 0.75

The trials n=15

E=np where E is expectation

Now, when the shots out of 15 trials will be given by np=15*¾=11.25 shots

Rounded off to the nearest interger, this is approximately 11 shots.

Therefore, the possible number of shots in 15 trials for Max is equivalent to 11

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.

this doesn't make sense lol