Answer:
4.08
Step-by-step explanation:
26.08 +(-6)²*(3.4-8.9)÷9
parenthesis first
26.08+36*(-5.5)÷9
then multiplication
26.08-198÷9
division
26.08-22
addition or subtraction
4.08
<h3>
Answer: Choice D) -$22</h3>
You'll lose on average $22 per roll.
====================================================
Explanation:
Normally there is a 1/6 chance to land on any given side of a standard die, but your friend has loaded the die in a way to make it have a 40% chance to land on "1" and an equal chance to land on anything else. Since there's a 40% chance to land on "1", this leaves 100% - 40% = 60% for everything else.
Let's define two events
- A = event of landing on "1".
- B = event of landing on anything else (2 through 6).
So far we know that P(A) = 0.40 and P(B) = 0.60; I'm using the decimal form of each percentage.
The net value of event A, which I'll denote as V(A), is -100 since you pay $100 when event A occurs. So we'll write V(A) = -100. Also, we know that V(B) = 30 and this value is positive because you receive $30 if event B occurs.
To recap things so far, we have the following:
- P(A) = 0.40
- P(B) = 0.60
- V(A) = -100
- V(B) = 30
Multiply the corresponding probability and net value items together
- P(A)*V(A) = 0.40*(-100) = -40
- P(B)*V(B) = 0.60*30 = 18
Then add up those products:
-40+18 = -22
This is the expected value, and it represents the average amount of money you earn for each dice roll. So you'll lose on average about $22. Because the expected value is not zero, this means this game is not mathematically fair.
This does not mean that any single die roll you would lose $22; instead it means that if you played the game say 1000 or 10,000 times, then averaging out the wins and losses will get you close to a loss of $22.
Answer:
(x−2)2=11
Step-by-step explanation:
Answer:
x = -3
y = -1
Step-by-step explanation:
in the given question :-
=》x - 4y = 1
=》x = 4y + 1
now replacing the value of x as ( 4y + 1 ) in equation (2)
=》3x + 2y = -11
=》3 (4y + 1) + 2y = -11
=》12y + 3 + 2y = -11
=》14y = -11 - 3
=》y = -14 ÷ 14
=》y = -1
now, putting the value of y in equation (1)
=》x - 4y = 1
=》x - ( 4 × -1 ) = 1
=》x + 4 = 1
=》x = 1 - 4
=》x = -3
