An ice cream parlor serves ice cream cones, milkshakes, and waffles with ice cream. the cost of an ice cream cone is $1.20, the cost of a milkshake is $2.00, and the cost of a waffle with ice cream is $3.50. if 50% of the customers choose an ice cream cone, 30% choose a milkshake, and 20% choose a waffle with ice cream, what is the expected value of the cost of one item served at the parlor?

how do you do it

this answer is $1.90

im not sure of the work to get to the answer

The answer is $ 1.90

Step-by-step explanation:

The expected value is the weighted average of the three products, and is calculated as all averagerages are:

50 customers pay $ 1.20  

30 customers pay $ 2.00

20 customer pay  $ 3.50

Expected Value = 50*1.20+30*2.00+20*3.50/100 = 60+60+70/100 =190/100

= 1.90 $

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step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for