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weqwewe [10]
2 years ago
12

Suppose it costs $43 to roll a pair of dice. you get paid $6 times the sum of the numbers that appear on the dice. is it a fair

game?
Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0

The game is not fair as 6 times the expected sum is less than the cost, $43.

In the question, we are asked if the game is fair.

For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,

6E(X) ≥ 43.

The expected sum for the pair, E(X) can be calculated using the formula,

E(X) = ∑x.p(x),

or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,

or, E(X) = 107/18.

Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.

Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.

Learn more about expected return from a game at

brainly.com/question/24855677

#SPJ4

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Readme [11.4K]

Answer:

C no es equivalente a 6/11.

Step-by-step explanation:

24/42 no es equivalente a 6/11 porque, cuando se simplifica, no es igual a este número. Si usamos el número 6 para simplificar, la respuesta a 24/42 sería 4/7, que no es igual a 6/11.

7 0
3 years ago
Read 2 more answers
I need help with both of these please I will be giving a brainlyist to the fist person to answer​
kodGreya [7K]

A general formula for the volume of a container is V = length x width x height (other words may be used in place of the three given).

3. 900 in^3, the fourth option

V = 20 x 15 x 3

V = 900 in^3

4. 288 in^3, the third option

V = 6 x 6 x 8

V = 288 in^3

Hope this helps!! :)

8 0
3 years ago
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Rewrite using a single positive exponent. 3-6 -5​
yarga [219]

Answer:

1 \div {3}^{( 30)}

Step-by-step explanation:

There are exponent rules I posted above that are being used here.

We have (3^-6)^-5

Since we have a power times a power, we multiply 6 and 5 to get -30. Look at the first example in the photo.

So, we're left with 3^-30.

If you look at the photo, there's a rule for negative exponents.

Take the inverse of the base number, so 3 in this case:

1 / 3

and then make the exponent positive after taking the inverse.

So, we should get 1 / 3^30

Hope this helps!

3 0
2 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric
otez555 [7]

Answer:

dimension are 350 m and 350 m  and

area is 122500 m²

Step-by-step explanation:

Given data

perimeter is 700 m

to find out

the largest area and its​ dimensions

solution

we consider x and y are the sides

so area is xy

perimeter is 2x+ y = 700

so we can say y = 700 -2x

so area will be = x (700 - 2x)

area = 700x - 2x²

we take derivative here and equal to zero

dA/dt = 700x - 2x²

700 - 4x = 0

x = 700/4

x = 175

so will be

y = 700 -2x

y = 700 -2(175)

y = 350

so dimension are 350 m and 350m

area is 122500 m²

3 0
3 years ago
Drag a statement or reason to each box to complete the proof.
astra-53 [7]

Answer:

The answers of the proof are the following:

2. Division Property of Equality

3. x+ 1 = -4

4. Subraction Property of Equality

5. x = -5

5 0
3 years ago
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