uppose you select a random card from a standard deck of

52

cards and no jokers. If you draw a face card (king, queen, or jack), you win

$5

. If you draw an ace, you win

$20

. If you draw any other card, you lose

$2

. What is the expected profit from any one draw?

Answers

Answer 1

Answer:

The value is [tex] E(k) = \frac{68}{52}[/tex]

Step-by-step explanation:

From the question we are told that

The total number of cards is [tex]n = 52[/tex]

Let k represent the winnings and loss when any card is drawn

So k = $5 when a faced card is drawn

So k= $ 20 when an Ace card is drawn

So g = - $2 when any other card is drawn

Generally in a standard deck of card

The number of Ace is 4

The number of queen is 4

The number of jack is 4

Therefore the number off faced cards is

R = 4 + 4 + 4 = 12

Generally the number of other cards is

Y = n - R

=> Y = 52 - 12

=> Y = 36

Generally the probability of drawing a faced card is mathematically represented as

[tex]P(k = 5) = \frac{ 12}{52}[/tex]

Generally the probability of drawing a Ace card is mathematically represented as

[tex]P(k = 20) = \frac{ 20}{52}[/tex]

Generally the probability of drawing a other card is mathematically represented as

[tex]P(k = -2) = \frac{ 36}{52}[/tex]

Generally the expected profit from any one draw is mathematically represented as

[tex]E(k) = \sum k_i * P(K = k)[/tex]

=>    [tex]E(k) =  5 * \frac{ 12}{52}  + 20\frac{ 20}{52} + [- 2 * \frac{ 36}{52}][/tex]

=> [tex] E(k) = \frac{68}{52}[/tex]


Related Questions

What is the value of X

Answers

Answer:

5.25

Step-by-step explanation:

butterfly method

x   3

--   --

7    4

7(3)=4x

21=4x

/4   /4

x=5.25

EASY GEOMETRY**
IDENTIFY THE angle shown​

Answers

Answer: D. Obtuse

Step-by-step explanation: It is greater than a 90 degree angle.

Complete the solution of the equation. Find the
value of y when x equals -14.
-2x - 3y = 49
Enter the correct answer.

Answers

Answer:

y = -7

Step-by-step explanation:

If x equals -14 then you would plug it in and the equation would be -2(-14)-3y=49

The new equation would be 28-3y=49

Then you would subtract 28 from both sides and get -3y=21

Lastly you would divide both sides by -3 and get y=-7

please answer
will mark as brainliest

Answers

Answer:

nine below zero

nine less than zero

the opposite of 9

Step-by-step explanation:

(brainliest plz)

Answer:

Nine below zeroNine less than zeroThe opposite of nine

I hope this helps!

Write a triangle congruence statement for the two triangles
below
E
D
ht
B
с
F

Answers

Answer:

FtD

Step-by-step explanation:

What is the y-intercept? O (0, -5) O (0-2) O (0, 2) O (0, 4)​

Answers

Answer:

(0,-5)

Step-by-step explanation:

the y-intercept is when the line passes through the y-axis

Answer:

(0,-5)

Step-by-step explanation:

the y-intercept is when the line passes through the y-axis

On a vacation, Linda's family traveled 495 miles at 55 mph.

What is the unit rate/slope in this example?

Answers

Answer:

500

Step-by-step explanation:

8

Triangle ABC is transformed to Triangle A′B′C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 3, 4, B at ordered pair negative 4, 2, C at ordered pair negative 1, 1. A triangle A prime B prime C prime has A prime at ordered pair 3, 4, B prime at ordered pair 4, 2, C prime at ordered pair 1, 1. Which equation shows the correct relationship between the measures of the angles of the two triangles? (5 points)

Answers

Answer:

Option 4.

[tex]\angle BCA =\angle B' C'A'\\[/tex]

Step-by-step explanation:

By graphing these we see that these triangles are Similar which means that there corresponding angles measure is equal i-e  all angles are equal and hence option 4 is the answer

Answer:

The measure of angle ABC = The measure of angle A prime B prime C prime

Step-by-step explanation:

7. Work out the gradient of the line y + 7x = 8

Is anyone able to help much appreciated

Answers

Answer:

[tex]gradient \: = - 7[/tex]

Step-by-step explanation:

[tex]y + 7x = 8 \\ y = - 7x + 8[/tex]

According to,

[tex]y = mx + c \\ [/tex]

m = gradient

So,

[tex]y = - 7x + 8[/tex]

[tex]m = - 7[/tex]

Answer:

-7

Step-by-step explanation:

equation=y+7x=8

y=-7x+8

the gradient is always the x co-efficient

therefore the gradient is -7

Please help me I will crown

Answers

B i believe, tell me if i get that wrong or not lol

Find the equation of the line that contains the points (6,3) and (9,4) Write the equation in the form y=mx+b HELP ASAP

Answers

Answer:

y = 1/3x + 1

Step-by-step explanation:

find the slope by using y2-y1/x2-x1

4-3/9-6

1/3.  slope = 1/3 = m

2. plug the values into the equation to find y-int. You can use whichever point is given to you

I'll use (6,3)

y = mx + b

3 = 1/3(6)+b

1/3(6)=2

3 = 2 + b

3. subtract 2 from both sides and you get b

b = 1

So, the equation of the line would be

y = 1/3x + 1

Select three ratios for the given ratio 6/14

Answers

Answer:

3 to 7

9 to 21

12 to 28

Step-by-step explanation:

6/14 is also equal to 6 to 14 or 6:14

I need help asap please ​

Answers

The slope is 4/3 because rise over run (if u have heard of that expression)

1. SOLVE FOR X 3x + 2 = 2x + 9
O x = 9
O x = 7
O x = 5
X = 3

Answers

Answer:

x =7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Given

3x + 2 = 2x + 9 ( subtract 2x from both sides )

x + 2 = 9 ( subtract 2 from both sides )

x = 7

Josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:4. She needs to make 49 liters of punch for the party. How much of each ingredient does she need

Answers

She would need 21 liters of fruit juice and 28 liters of lemonade.

Answer:

juice = 21lemonade = 28

Step-by-step explanation:

given:

ratio of juice and lemonade = 3:4

She needs to make 49 liters of punch for the party.

find:

How much of each ingredient does she need

solution:

add the ratio 3 + 4 = 7

total punch divide by the total ratio

49 / 7 = 7 (coefficient)

juice           3 x 7 = 21

lemonade  4 x 7 = 28

                   total = 49

Can some please help me

Answers

Answer: (-1, -3)

Step-by-step explanation:

x: -2= (-3 + x)/2               y: 5 = (7 + y)/2

   -4= -3 + x                         10= 7 + y

   -1 =x                                  -3 = y

              (-1,-3)

What is the expression [tex]x^2+14x+40[/tex] in factored form?

Answers

Answer:

b

Step-by-step explanation:

since x is squared, you would put that into both parenthesis, so you should have (x)(x) right now

then you need to find factors of 40 that add to 14

factors of 40: 40 and 1, 20, and 2, 4 and 10, 5 and 8

4 and 10 multiply to equal 40 and add to equal 14

put each factor into a parenthesis

so now you should have (x+10) (x+4)

side note: if the number 40 was negative then one of the factors would have to be negative, this would result in (x+10) (x-4) or (x-10) (x+4)

Which ordered pair is not a solution to this system?
x+y>3
x + 2y > 5
A (2,1)
B. (2,2)
C (2,3)
D. (2,4)
E. (2,5)

Answers

Answer:

A (2,1)

[tex]x + y > 3 \\ x + 2y > 5 \\ \\ a)2 + 1 > 3 \: wrong \\ 2 + 2(1) > 5 \: wrong \\ \\ [/tex]

So, right off the bat, you can tell that the ordered pair (2,1) is most definitely NOT the solution to this system.

heelppppppppppp pleaseee

Answers

Answer:

x = -1

Step-by-step explanation:

6 -8x = 6x -9x +11

Combine like terms

6 -8x = -3x+11

Add 8x to each side

6-8x +8x = -3x+8x +11

6 = 5x+11

Subtract 11 from each side

6-11 = 5x+11-11

-5 =5x

Divide each side by 5

-5/5 = 5x/5

-1 =x

Which expression is equivalent to the expression shown?

please help

Answers

Op B is ur answer

No worries

Answer:

b) [tex]4a^{2} b^{2} c^3[\sqrt[3]{b} ]}[/tex]

Step-by-step explanation:

4. Solve 5x + 25 = 250 x = ?* Enter the number value only.​

Answers

Answer: x = 5/49 ; 0.102041

Step-by-step explanation:

Subtract 5x on both sides. 25 = 245xDivide by 245 on both sides. x = 5/49. As a decimal, it is approximately 0.102041.

There’s two fish in a tank, one of them turns to the other and says..?

Answers

Answer:

hi fishy bwotha

Step-by-step explanation:

Answer: "How the heck do you drive this thing!?"

Step-by-step explanation: because normally they would be in a fish tank, but here they are in a military tank.

Find the perimeter of the square in the coordinate plane below. Round your answer to two decimal places.​

Answers

You have to show a picture so we can solve this problem you’re having.

(-8) + (+12) what is the answer to this can someone please write it out clearly?​

Answers

Answer:

4

Step-by-step explanation:

so here since -8 is smaller then 12 your basically subtracting. In simpler terms its basically just 12-8

Answer:

The answer is 4

Step-by-step explanation:

  Since you have negative 8 when you add 12 it is like you are just adding 8 making the number 0 and then add the rest from the 12 which is 4

In each figure below find m ∠1 and m∠2, if a||b. Justify with reasons your solution.
b

Answers

Answer:

105* and 75*

Step-by-step explanation:

i need help someone give me this answer plz

Answers

it’s 3 .............

Find the midpoint of the line segment with endpoints (1, 7) and (3, 3).
A) (2, 4)
B) (3, 4)
C) (2, 5)
D) (3, 5)

Answers

I think it is C
If I’m wrong I’m Srry but I think it is C (2,5)
Find the midpoint of the line segment with endpoints (1, 7) and (3, 3).

C) (2, 5)

Joseph wants to find the side length of a square that has an area of 150 feet. Should his answer be rational or irrational? Why?

Answers

Answer:

The answer is irrational

Step-by-step explanation:

if 2x + y = 12 and x + 2y = -6, then find the value of 2x + 2y

Answers

2x + y = 12
2x = 12 - y

x + 2y = -6
2y = -6 - x

2x + 2y
12 - y + (-6) - x
12 + (- 6) - y - x
12 - 6 - y - x
6 - y - x

Answer: - x - y + 6


Combine the expressions from parts B and C to give the pair of coordinates of any point after a reflection across the x-axis,

Answers

Answer:

For any initial point (x, y), the new point after a reflection across the x-axis is (x, -y).

*Edmentum answer*

Answer:

For any initial point (x, y), the new point after a reflection across the x-axis is (x, -y).

Step-by-step explanation:

edemtum answer

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