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zzz [600]
3 years ago
14

Gambler is deciding whether or not to take a bet. she must pay $40 to take the bet, but if she wins, she willprofit$225.theproba

bility that she wins the bet is ¼. what is the player’s expected value in this situation
Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0
Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.

Outcomes value probability
win            225    1/4
lose               0    3/4
cost of bet = 40

So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25

This means that in the long run, gambler will win, since the expected value is positive.  (does NOT mean she will win in the next bet!)
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A triangle forms the front of the Pantheon in Rome, Italy. Classify the triangle based on its sides. Then classify it based on i
SVETLANKA909090 [29]

Answer:

(See explanation for further details)

Step-by-step explanation:

Classification based on sides:

Equilateral - Three sides with same length.

Isosceles - Two sides with same length.

Scalene - No sides with same length.

Classification based on sides:

Acute-Angled - All angles are acute. (0^{\circ} < \theta < 90^{\circ}, 0^{\circ} < \alpha < 90^{\circ}, 0^{\circ} < \beta < 90^{\circ}, \theta + \alpha + \beta = 180^{\circ})

Right-Angled - One angle is right. (0^{\circ} < \theta < 90^{\circ};\alpha = 90^{\circ}, 0^{\circ} < \beta < 90^{\circ}, \theta + \alpha + \beta = 180^{\circ})

Obtuse-Angled - One angle is obtuse. (0^{\circ} < \theta < 90^{\circ},90^{\circ}

3 0
2 years ago
the sum of three numbers is twenty. the second number is four times the first and the sum of the first and third is eight. what
8090 [49]
Let's call the three numbers x, y, and z. 


The numbers are 3, 12, and 5.
x + y + z = 20
y = 4x
x + z = 8
We can rewrite the first equation because y is 4x, so 
x + 4x + z = 20
5x + z = 20
And now we can use simultaneous equation rules to solve

5x + z = 20
x + z = 8

5x + z = 20
5x + 5z = 40
(subtract)
-4z + -20
÷ -4
z = 5

x + z = 8
x + 5 = 8
x = 3

y = 4x
y = 4 × 3
y = 12

I hope this helps!
4 0
3 years ago
What is the slope of a line perpendicular to a line with slope –9?
7nadin3 [17]

Answer:

The answer is 1/9.

Step-by-step explanation:

When solving for the slope of a perpendicular line to a given, you have to flip the opposite reciprocal.

First take the number and flip the reciprocal, in this case -9 turns into -1/9.

Then flip the sign, like making a negative to a positive or a positive to a negative. In this case make -1/9 into 1/9

Therefore the answer is 1/9.

3 0
3 years ago
AYO HELP ME WITH THIS!!!!
xeze [42]

Answer:

a taco is 1.25 and a drink is 0.95

Step-by-step explanation:

tacos = t

drinks = d

5t + 3d = 9.10

3t + d = 4.70

this is a simultaneous equation so times the first one by one and the second by 3 and then take them away from each other and solving to get

t = 1.25 and d=0.95

one drink is $0.95

one taco is $1.25

Hope this helps!!

4 0
3 years ago
Can i please have help with number 6
Allisa [31]
Length of the diameter =   sqrt ( (-12- (-8)^2) +(2-0)^2) )
  = sqrt  (16 + 4) = sqrt20 
so radius = sqrt 20 / 2 = sqrt5
so r^2 = 5


Center of the circle = coordinates of the midpoint of the diameter =

-8-12/2 , 2-0 / 2  =    (-10, 1)

(x - a)^2 + (y - b)^2 = r^2  is general form of a circle so here the circle is:_

(x + 10)^2 + (y - 1)^2 = 5  Answer

Its B
7 0
3 years ago
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