The company RandomCereal places figurines in cereal boxes via the following process: in each box, with probability 1/2 it places no figurine in the box, and with probability 1/2 it places some figurine in the box. When it places a figurine, it chooses one of 4 possible types uniformly and random. (a) Suppose you have collected k of the 4 types of figurines, where k € {0,1,2,3} (collecting a type of figurine means that you have at least one figurine of that type). What is the expected number of cereal boxes you need to open until you obtain a new type of figurine (that you have not already collected)? Your answer should be in terms of k.
(b) Suppose you do not have any of the figurines. What is the expected number of boxes you need to open to collect all 4 types of figurines?

b

step-by-step explanation:

the total is 23.97. 0.25% is off so you have to subtracting 25% from 100% and you will get 75% if you convert it to decimal you will get 0.75. you have to find the original because the formula is % times original = total.so you have the total and the % so you just have to plug it in.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: