algebra unit 8 lesson 1 assessment question 4
2y – 3x = 9
4y + 3x = 12
A.
coincident
B.
not enough information
C.
inconsistent
D.
consistent and independent
Answer: D. consistent and independent
Step-by-step explanation:
The given system is
When we compare the coefficients of the corresponding variables of both the equations we get,
For y,
For x,
And ,
⇒ The system in independent.
Therefore the system has one unique solution.
Since, if a system has a unique solution then the system is consistent .
Therefore, the system is consistent and independent.
The expectation to play the game is $2.5 and the fair price to play is $7.5.
The expectation is defined as the weighted average value of the random variable which is the product of the value of the random variable and its possibility.
Expectation= ∑P(win)*amount of win or loss of random variable
=∑x*P(x)
Here given that there are only two possible outcomes $5 and $10. And the possibility of every outcome is the same which is 0.5 as they occupy the same area.
As we know
Expectation= ∑P(win)*amount of win or loss of random variable
= 0.5(5-5) +0.5(10-5)
=0.5*0 + 0.5*5
=0+2.5
=$2.5
As fair price= expectation + cost of play
⇒fair price= $2.5 + $5
⇒fair price= $7.5
Therefore the expectation to play the game is $2.5 and the fair price to play is $7.5.
Learn more about expectation
here: brainly.com/question/10675141
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Answer:
(a)
(b)
Step-by-step explanation:
First pic is a second is b