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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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Maya is deciding between two different movie streaming sites to subscribe to. Plan A
Effectus [21]

Answer:

36 movies.

Step-by-step explanation:

45

+

2.50

x

=

3.75

x

Here

x

=

NUMBER OF MOVIES

45

=

Annual rate

2.50

=

price of movie with annual fee

3.75

=

price of movie with no fee

Now we solve for

x

. Move

x

to one side by subtracting

2.50

x

on each side

45

=

1.25

x

We want

x

by itself, so divide

45

by each side.

45

1.25

=

x

x

=

36

4 0
3 years ago
Select the least common multiple of 12 and 15. A. 3 B. 15 C. 60 D. 180
ad-work [718]

Answer:

60

Step-by-step explanation:

12=2⋅2⋅3

15=3⋅5

We see that they both share 3 is their LCM.

We divide each number by their LCM.

123⇒4

153⇒5

We multiply these two quotients and the LCM to get our final answer:

3⋅4⋅5=60

That is our answer!

Hope this helped! :)

7 0
3 years ago
Maddie's bedroom is rectangular. The length of one wall of Maddie's bedroom is 4 meters. The length from one corner of the bedro
salantis [7]

Answer:

The length of other wall is 3 meters.

Step-by-step explanation:

Given that:

Length of one wall = 4 meters

Length of diagonal from one corner to opposite corner = 5 meters

As the room is rectangular, the diagonal will form a right angled triangle.

The diagonal will be the hypotenuse.

Using pythagorean theorem;

a^2+b^2=c^2

Here,

a = 4 and c = 5

(4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9

Taking square root on both sides

\sqrt{b^2}=\sqrt{9}

b = 3 meters

Hence,

The length of other wall is 3 meters.

5 0
3 years ago
How do you divide A number with a remainder
balu736 [363]
<span>We set up our problem with the long division symbol or the long division bracket. ...Divide the first number of the dividend by the divisor. ...The whole number result, 0, is placed on top to start the quotient. ...Next, subtract the bottom number from the top. ...Next, we bring down the next number of the dividend. hope i helped</span>
3 0
3 years ago
Find the coordinates of the midpoint of TU for T(3,1) and U(5,3)
bixtya [17]
<h3>Answer:  (4,2)</h3>

==========================================================

The given points are T(3,1) and U(5,3)

The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.

The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.

The midpoint is (4,2)

Effectively, we just used the midpoint formula

(x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)

In short: add the corresponding coordinates, then divide by 2.

3 0
3 years ago
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