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True [87]
3 years ago
7

You pay .50 cent to draw a card from a deck. if you draw an ace you win ten dollars if you draw a face card(12 in a deck) you wi

n a $1. what is your expected value
Mathematics
1 answer:
sveticcg [70]3 years ago
5 0
The probability that a face card can be drawn from a standard deck of cards is 12/52 which can be simplified into 3/13.

The expected value is the product of the probability and the value.
                       Expected value = (3/13)($1) = $0.23
The difference between the amount spent and the expected value is equal to $0.27.
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Three circles with centers A, B, and C are externally tangent to each other as shown in the figure. Lines EG and DG are tangent
fiasKO [112]
My solution to the problem is as follows:

EC = 15 ... draw CF = 6 (radius) ...use Pythagorean theorem to find EF. 

EF^2 + CF^2 = EC^2 
EF^2 = 15^2 - 6^2 = 189 .... EF = sq root 189 

triangle GDE is similar to CFE ... thus proportional 
GD / ED = CF / EF 
GD / 18 = 6 / (sq root 189) 
<span>GD = 108 / (sq root 189)

I hope my answer has come to your help. God bless and have a nice day ahead!


</span>
5 0
3 years ago
Katy has 100 quarters and dimes. Their total value is $19. How many of each coin does Katy have?
jekas [21]

Answer:

she has D=40,  and Q=60

Step-by-step explanation:

7 0
3 years ago
Solve the formula 4x+7y=9 for y.
satela [25.4K]
X=0.5
y=1

(4x0.5) + (7x1) = 9
2 + 7 = 9
5 0
2 years ago
Find the value of cos W rounded to the nearest hundredth, if necessary,
Aliun [14]

Answer:

cos W = 7/15

Step-by-step explanation:

Mathematically the cosine of an angle is the ratio of the adjacent to the hypotenuse side

From the diagram given, 14 is adjacent to vertex w and 30 faces the right angle which makes it the hypotenuse

So, we have it that;

cos W = 14/30

cos W = 7/15

4 0
3 years ago
Find an equation for the inverse of the relation y=6x-3. Show how you found the inverse equation.
Elis [28]
Hi there! The answer is y = 1/6x + 1/2

To find the inverse function x and y need to switch places.

y = 6x - 3 \\ x = 6y - 3

Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
x = 6y - 3

Add 3.
x + 3 = 6y

Switch sides.
6y = x + 3

Divide both sides by 6.
y =  \frac{1}{6}  x+  \frac{3}{6}  \\ y =  \frac{1}{6} x +  \frac{1}{2}

Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!
4 0
3 years ago
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