Answer:
The linear equations are:
Step-by-step breakdown:
Here, a denotes the quantity of 2-point shots, and b indicates the number of 3-point shots.
According to the information given:
The basketball team accumulated 82 points through 2-point and 3-point baskets.
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It is also stated that: They made a total of 38 baskets.
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therefore, the linear equations are:
Response:
the expected value of this raffle if you purchase 1 ticket = -0.65
Breakdown of the calculation:
Details:
5,000 tickets are sold at $1 each for a charitable raffle
Winners will be chosen at random with cash prizes as follows: 1 prize of $500, 3 prizes of $300, 5 prizes of $50, and 20 prizes of $5.
Therefore, the value and its respective probability can be calculated as follows:
Value Probability
$500 - $1 = $499 1/5000
$300 - $1 = $299 3/5000
$50 - $1 = $49 5/5000
$5 - $1 = $4 20/5000
-$1 1 - 29/5000 = 4971/5000
The expected value of the raffle when buying 1 ticket is computed as follows:
So, the expected value of this raffle when one ticket is purchased = -0.65