In a proposed business venture, Serena estimates there is a 65% chance she will make $70,000 and a 35% chance she will lose $30,000. Determine Serena's expected value.

$35,000

Step-by-step explanation:

In a proposed business venture, Serena estimates that there is a 65% chance that she will make $70,000

And also a 35% chance that she will loose $30,000

Therefore the expected value can be calculated as follows

E= 65/100 × 70,000 + 35/100 × (-30,000)

= 0.65 × 70,000 + 0.35(-30,000)

= 45,500 - 10,500

= $35,000

Hence the expected value is $35,000

the correct answer to your question is a. 4^4

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(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3