In 2012, Red Rose tea randomly began placing 1 of 12 English porcelain miniature figurines in a l00-bag box of the tea, selecting from 12 nautical figurines. On the average, how many boxes of tea must be pur- chased by a customer to obtain a complete collection consisting of the 12 nautical figurines?

n = 144 bags

Step-by-step explanation:

Given:-

- English porcelain miniature figurines in total = 12

- 1 figurine is to be placed in a 100-bag box

Find:-

On the average, how many boxes of tea must be pur-chased by a customer to obtain a complete collection consisting of the 12 nautical figurines?

Solution:-

- We will denote a random variable (X) as the number of figurines in (n) number of bags purchased.

- The probability (p) of finding a figurine in a single bag is ( success ):

                                 p = 1 / 12

- The random variable (X) can follow a binomial distribution with parameters n = number of bags purchased, and p = probability of selecting a bag with a figurine.

                                X ~ B ( n , 1/12 )

- The average number of bag "n" that need to be purchased to find all 12 figurines available:

                               E ( X ) = 12

                               n*p = 12

                               n = 12 / p

                               n = 12 / ( 1 / 12) = 12^2

                               n = 144 bags

- A total of average n = 144 bags need to be purchased to find all the 12 figurines.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.