1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yakvenalex [24]
3 years ago
13

A deck of cards contains 52 cards, of which 4 are aces. You are offered the following wager: Draw one card at random from the de

ck. You win $10 if the card drawn is an ace. Otherwise, you lose $1. If you make this wager very many times, what will be the mean amount you win?
Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

-$0.15

Step-by-step explanation:

We have been given win = $10, and loss = $-1

This deck of cards has 4 aces out of a total of 52 cards.

Then the probability can be explained as the number of favorable outcome/number of what is the possible outcome.

P(win) = number of favorable outcome/number of possible outcome

= 4/52

= 1/13

P(loss) = number of favorable outcome/number of possible outcome

= 48/52

= 12/13

Then we have

$10x1/13 + (-1)x12/13

= 10/13-12/13

= -2/13 dollars

= -$0.15

You might be interested in
in a parking lot of 240 red and blue cars, the ratio of red cars to blue cars is 3: 5. How many red cars are in the parking lot?
butalik [34]

Answer:

90 red cars, 150 blue cars

Step-by-step explanation:

Divide 240 by 8. 8 comes from the 3:5 ratio (3+5). 240/8=30. 30x3=90, 30x5=150.

4 0
3 years ago
Read 2 more answers
Add (3a+1)+(5x+8)=??
IrinaVladis [17]
Your answer should be 3a^2 + 5x + 9
5 0
3 years ago
1000 + 6901 - 64 = ?​
Radda [10]

Answer:

7837

Step-by-step explanation:

1000 + 6901 - 64 = ?​

=7837

8 0
3 years ago
Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente
Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   No singular point due to the exponent in the solution

    The interval is   -\infty

b

   NONE

Step-by-step explanation:

From the question we are told that

     \frac{dy}{dx} =  9y

The generally solution is mathematically represented as

         \frac{dy }{dx}  =  9y

=>       \frac{dy}{y}  =  9dx

integrating both sides  

         \int\limits  {\frac{ dy}{y} } \,  = \int\limits  {9} \, dx

  =>   lny = 9x + c

 =>   y =  e^{9x +c }

 =>    y =  e^{9x} e^{c}

Here e^c  =  C

=>     y = C  e^{9x}

From the above equation we see that the domain for x has no singular point the interval is

       -\infty

Also there is no transient term in the general solution obtained because as  x \to \infty there no case where y \to 0

7 0
3 years ago
A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?
Marina86 [1]

Answer:

The other side = \frac{1}{12} units

Step-by-step explanation:

A right triangle has a side of length \frac{1}{4} units and;

the hypotenuse is \frac{1}{3}

According to Pythagorean theorem,

a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.

Lets say a² = (\frac{1}{4}) ^2   and  c² = ((\frac{1}{3} )^2

b² = c² - a²

b² = \frac{1}{9} - \frac{1}{16} = \frac{1}{144}

So b = \sqrt{1/144} = \frac{1}{12} units.

So the other side = \frac{1}{12} units.

5 0
3 years ago
Other questions:
  • What is function?write one example
    15·1 answer
  • 12/18 reduced to the lowest term
    7·1 answer
  • Jorge tiene 5 veces la edad de su hijo dentro de 15 años, tendrá únicamente el doble de la edad de su hijo ¿cuantos años tendrá
    13·1 answer
  • -7i(-9+6i) standard form
    6·1 answer
  • Who want their homeowok done for less than 8 dollars<br><br><br> 5th to 10th grade only
    10·1 answer
  • The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the num
    5·2 answers
  • PLS HELP, WILL REWARD BRAINLIEST!!
    8·1 answer
  • Please help with number 16
    10·1 answer
  • Describe how to transform the graph of g(x) = logx into the graph of M(x) = 2 log(4 – x).
    10·1 answer
  • A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!