Answer:
Expected value for 4 tickets = $ -7.6
Step-by-step explanation:
Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.
To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
Proof -
Given that,
A lottery offers
one $ 900 prize
one $ 600 prize
three $ 400 prizes
Four $ 100 prizes
And
One thousand tickets are sold at $ 5 each
Now,
If the person bought 1000 tickets then the prize he gets is
= 900 + 600 + 3×400 + 4×100
= 900 + 600 + 1200 + 400
= $3100
And
The cost of 1000 tickets = 5×1000 = $ 5000
Now,
Price 1 ticket = 
= $ 3.1
⇒Expectation of 1 ticket = $ 3.1 - 5 = $ -1.9 (Here $5 is price of 1 ticket)
⇒Expected value for 4 tickets = $ 4× -1.9 = $ -7.6
⇒Expected value for 4 tickets = $ -7.6
Jane is given a $100 gift to start and saves $35 a month from her allowance.
After 1 month, Jane has saved
After 2 months, Jane has saved
After three months, Jane has saved
and so on
In general, after x months Jane has saved
This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.
Step-by-step explanation:
Answer:
TO INFINITY AND BEYOND! No, i'm jk. It's the last one
Step-by-step explanation:
(It's the last one)
Unicode ∞) represents something that is boundless or endless, or else something that is larger than any real or natural number.
Answer:
19.5 (Rounded: 20)
Step-by-step explanation:
In math, the mean is every number added together, then divided by the amount of numbers. For example, 1,2,5,4,8 would have a median of 4.
<em>(1 + 2 + 4 + 5 + 8 = 20 ÷ 5 = 4)</em>
Your dot plot has 14 total numbers, meaning that you add up all the numbers and divide by 14.
16 + 17 + 17 + 17 + 17 + 19 + 19 + 19 + 19 + 21 + 22 + 22 + 23 + 25 = 273
273 ÷ 14 = 19.5
If you don't need to round, 19.5 is correct. However, if you need to round my best guess is 20. Good luck!
Answer:
Area of the parallelogram= 
Step-by-step explanation:
Area of a parallelogram = Length * Perpendicular height
To find the perpendicular height of the parallelogram:
Using given angle 60° in the triangle.
Area of the Parallelogram:
Area of the parallelogram=
