Betty is allergic to milk products. She discovers that 40% of the food items available in the school cafeteria contain milk products. She wants to know the odds of the cafeteria serving three meals in a row containing milk products so she can decide whether she should bring lunch from home. How can she simulate this situation to find the relative frequency?

The ratio of food items containing milk products to those without milk is 40:60 or 2:3. So Betty's simulation should have a multiple of 5 possible outcomes. She can model this situation using a 5-section spinner with 2 sections representing items containing milk and three sections representing items without milk. To find the odds of the cafeteria serving 3 meals in a row containing milk, spin the spinner 3 times. If all 3 spins land on sections representing food items that contain milk, it would mean the cafeteria would serve 3 meals in a row containing milk. To find the relative frequency of the event, Betty needs to perform the simulation multiple times.

Step-by-step explanation:

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.

your question is incomplete, write all the numbers in the sequence that it tells you.  

step-by-step explanation: