Acharity is holding a raffle to raise money. there is one car worth $30,000 and five $100 gift cards being raffled off. each ticket costs $20, and there are a total of 5,000 tickets being sold. which equation correctly depicts the calculation of the expected value for a ticket?

The required equation is,

Step-by-step explanation:

Since, the total number of tickets = 5000,

In which Each ticket costs $20,

Also, There is one car worth $30,000 and five $100 gift cards being raffled off,

Thus, by these informations we can make the following table,

Number of tickets          1                5                4994      

Listed price($)           30,000          100               0

Loss                             20               20                20

Actual price($)           29980           80                -20

Probability                 1/ 5000       5/5000         4994/5000

We know that,

Expected value = Actual value × Probability,

Hence, the expected value for a ticket

Which is the required equation.

y-1700=200(x+4)

step-by-step explanation:

200(x+4) is 200x + 800 she is saving 200 per week x is the weeks and the -1700 is. us that’s howmuch she already had

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15