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quester [9]
2 years ago
14

In roulette, you may bet whether the number that comes up is odd (or even). (Remember that 0 and 00 do not count as either odd o

r even and there are numbers 1-36.) The wager pays even money, that is, if you win, you get whatever you bet, and if you lose, you lose that same amount. What is your expected value for this bet
Mathematics
1 answer:
EastWind [94]2 years ago
7 0

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

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13 Solve the inequality n+7&lt;5n-8<br>​
Papessa [141]

Answer:

3.75 < n

Step-by-step explanation:

n + 7 < 5n - 8

Add 8 to both sides

n + 7 + 8 < 5n

n  + 15 < 5n

Subtract 'n' from both sides

15 < 5n - n

15 < 4n

Divide both sides by 4

\frac{15}{4} < n

3.75 < n

3 0
3 years ago
Find the formula for the nth term of the arithmetic sequence -39, 61, 161, 261, ...
maksim [4K]
<h3>Given that it is arithmetic</h3>

d = a_{2} - a_{1} = 61 - ( - 39) = 100

a_{n} = a_{1} + (n - 1)d \\ a_{n} = - 39+ 100 (n - 1) \\ a_{n} =  - 39 + 100n - 100 \\ a_{n} =  - 139 + 100n

6 0
1 year ago
True or false if you divide a number by two it's always even
Gnesinka [82]
False, ex: 18/2 = 9
false, ex: 18/2 = 9
8 0
3 years ago
Read 2 more answers
Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the
Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

y=Ce^{kt}. We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is \frac{dy}{dt}. Thus, the change in the concentration of salt is found in

\frac{dy}{dt}= inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

3(\frac{y}{400})

Therefore,

\frac{dy}{dt}=0-3(\frac{y}{400}) or just

\frac{dy}{dt}=-\frac{3y}{400} and in terms of time,

-\frac{3t}{400}

Thus, our equation is

y=28e^{-\frac{3t}{400} and filling in 16 for the number of minutes in t:

y = 24.834 pounds of salt

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2 years ago
What is the length of side BC if AC is 5 square root 2 m?
Jet001 [13]
This is a right triangle, so AC is a hypotenuse. The other angles are each 45 degrees, so the legs AB and BC are equal length. a^2 + b^2 = c^2 a = b 2a^2 = (5sqrt2)^2 = 50 a^2 = 25 a = 5 Answer: 5
4 0
2 years ago
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