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emmainna [20.7K]
3 years ago
15

A "mathematically fair bet" is one in which a gambler bets, say, $100 for a 10 percent chance to win $1,000 ($100 = 0.10 × $1,00

0). Assuming diminishing marginal utility of dollars, this is not a fair bet in terms of utility because
Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0

Answer: the winnings are reduced

Step-by-step explanation:

Given 10 percent chance to win $1,000 for $100. That is

Gain = $900

Assuming diminishing marginal utility of dollars, when the utility of the gain and the money used for bet are considered, it is discovered that the utility of the $100 used to make the bet is greater than the $900 that you might gain if you win the bet.

this is not a fair bet in terms of utility because the winnings are reduced.

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How many liters of a 40% sugar solution must be mixed with 30 liters of a 60% sugar solution to make a 56 % sugar solution?
faltersainse [42]

Answer:

7.5 liters

Step-by-step explanation:

Here what we need to know is the liters of the first solution, that we will call x. We know that the 40% of x plus the 60% of 30 MUST be equal to the 56% of total liters. The total liters are the sum of both substances, i.e, the x liters of the 1st sugar solution and the 30 liters of the second, which is 30+x liters. So, we have that:

0.4*x + 0.6*30 = 0.56(30+x)

Using distributive and the fact that 0.6*30 = 18 and 0.56*30=16.8

0.4x + 18 = 16.8 + 0.56x

Subtract 16.8 in both sides:

0.4x + 18 - 16.8 = 0.56x

0.4x + 1.2 = 0.56 x

Subtract now 0.4x in both sides:

1.2 = 0.56 x - 0.4x

1.2 = 0.16x

Divide both sides by 0.16

1.2/0.16 = 0.16/0.16 x

7.5 = x

So, the first solution must be of 7.5 liters in order to have a 56% in the mixture.

5 0
3 years ago
Please Help! Please write a detailed explanation of how you got your answer!!! Please don't write fake answers just for points.
Anit [1.1K]

Answer:

im pretty sure the area is 96 square meters

Step-by-step explanation:

12x8

7 0
3 years ago
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What is the greatest common factor of 12xy^5 + 60 x^4 y^2 − 24 x^3 y^3?
lana66690 [7]

the answer is 20!!!!!


7 0
3 years ago
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Which subset of the real numbers contains the square root of 50
DENIUS [597]
The first thing you should do in this case is to know that you can rewrite the expression.
 We have then:
 root (50)
 Rewriting:
 root (2 * 25)
 5 * root (2)
 Which belongs to the set of irrational numbers.
 Answer: 
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3 years ago
Graph the solution of the inequality 2x - (3 - x) > x + 1 on the number line.
RoseWind [281]

Answer:

The graph is in the image

Step-by-step explanation:

2x -(3-x)>x+1\\\\\begin{bmatrix}\mathrm{Solution:}\:&\:x>2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}

6 0
4 years ago
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