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
Answer:
(c) BC ≅ BC, reflexive property
Step-by-step explanation:
The conclusion of this proof derives from CPCTC and the SAS congruence postulate. In order for SAS to apply, corresponding sides and the angle between them must be shown to be congruent. The congruence statement ...
ΔABC ≅ ΔDCB
tells you these pairs of sides and angles are congruent:
- AB ≅ DC . . . . statement 2
- ∠ABC ≅ ∠DCB . . . . statement 4
- BC ≅ CB . . . . (missing statement 5)
- AC ≅ DB . . . . statement 7
That is, the statement needed to complete the proof is a statement that segment BC is congruent to itself. That congruence is a result of the reflexive property of congruence.
Answer:it's the total amount of money an employee can receive before taxes & the deduction taken out
Step-by-step explanation:
Answer:
-12.15
Step-by-step explanation:
2(a+b)=-8.1
a+b=-4.05
3(a+b)=3(-4.05)
3(a+b)=-12.15
Answer:
pounds.
Step-by-step explanation:
Let x be the total amount of potting soil needed to complete the planting in new garden.
We are told that a school group is helping plant a new city garden. Today they used 12 1/2 pounds of potting soil and planted 2/5 of the garden. This means 2/5 of x equals to 12 1/2.
To find the amount of soil needed for the next of planting we will subtract the amount of potting soil used on the first day 
from amount of total potting soil 
.
Therefore, the group will need pounds of potting soil to finish their work.
