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?

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

company a

step-by-step explanation:

using the linear regression models , it is found that company a   pays about $14 more. but using the same regression (linear) company b pays about $10 more.

so company a pays more than b

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)