Answer: - 0.027
Step-by-step explanation:
Win = any even number between (0 - 36)
Therefore,
Lose = any odd number between 0 —36 including 0
Assume Bet amount = $1
Expected value is calculate by summing all possible outcomes by their respective probabilities.
Expected value = [(p(winning) × net win value) + (p(losing +net loss value]
P(winning) = p(even) = 18/37
P(losing) = p(odd) +p(0) = 19/37
Net win value = $2
Net loss value = $-1
Expected value = [(18/37) × ($1) + (19/37) × (-$1)]
Expected value = 0.48648648 - 0.51351351
Expected value = - 0.027
Answer:
The farmer will need 7 crates.
Step-by-step explanation:
<em>It is given that there are 71 pumpkins in total.</em>
<em>And each crate holds 19 pumpkins.</em>
Let the number of crates required be<em> "n".</em>
The total number of pumpkins can be calculated by multiplying number of pumpkins in each crate with total number of crates.
Thus, the equation is
Thus, the farmer needs 7 crates to hold total of 71 pumpkins.
Answer:
3x^2 + 3xy/2 - 7xy^2/2
Step-by-step explanation:
So we know the perimeter is 20x^2 + xy - 7y^2,
To find any perimeter you need 2l + 2w = P so,
One of the sides is 7x^2 - xy
First plug in the values,
2(7x^2-xy) + 2w = 20x^2 + xy - 7y^2
Multiply,
14x^2-2xy + 2w = 20x^2 + xy - 7y^2
Subtract,
14x^2 - 2xy - 14x^2 + 2xy + 2w = 20x^2 + xy - 7y^2 - 14x^2 + 2xy
2w = 6x^2 + 3xy - 7y^2
w = 3x^2 + 3xy/2 - 7xy^2/2
X=-8,3.
divide all terms by the two in the first term to get x^2+5x-24=0. Then find the factors. To do so, find what two numbers can be multiplied to get 24, and whether those two numbers can be added or subtracted to get the middle term (5). Since 8x(-3)=24 and 8-3=5, (x+8) and (x-3) are the factors. Then set the factors equal to zero. Add or subtract these numbers to the other side of the equation and you then get x=-8,3. These are the roots.
Answer: A
Step-by-step explanation:
