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?

Step-by-step explanation:

Given that a charity is holding a raffle to raise money.

Car is the gift offered and the car is worth 30000

Tickets sold = 5000

Out of 500 tickets one ticket would fetch the car worth 30000 dollars

and five gift cards will bring 100 dollars

Thus we have                             Total

Tickets        1           5       4994      5000

Gain        30000      100        0

Cost               20       20       20

Net gain  29980       80      -20

Prob           1/5000   5/5000  4994/5000

Expected value for a ticket =

=5.996+0.4-19.976

=-13.58

i.e. expected gain by participation=expectedvalue of ticket =-13.58

This negative indicates that the game is at the advantage of the charity conducting raffle and not for the participants

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.