Alexis is going to Vegas for the weekend! She decides to try her hand at a new game that Casino QuickCash is promoting. For this game, you pay $6 to play. A dealer shuffles and then randomly draws a card from a standard deck of 52 cards. If the card drawn is a diamond, Alexis wins nothing. If the card drawn is an even-numbered card (2,4,6,8, or 10) from the remaining three decks, Alexis wins $8. Otherwise, Alexis wins $12. a) Alexis's expected winnings per game is (rounded to the nearest cent):

Answers

Answer 1

Answer:

$10.46

Step-by-step explanation:

Amount that can be won by Alexis ( xi ) = $0, $8 , $12

probability ( pi )

P( $0 ) = 13 / 52 = 1 / 4

P( $8 ) = 15 / 39   ( given that she wins this when an even number is drawn from three remaining decks )

P ( $12 ) = 1 - 15/39 = 24 / 39

a) Alexis expected winnings per game

= ∑ xi * pi = ( 0 * 1/4 ) +  ( 8 * 15/39 ) + ( 12 * 24 / 39 )

                = $0 + ( 120 / 39 ) + ( 288 / 39 )  = $10.46


Related Questions

Which point is on the graph of y = 4x + 2? A (-2, -5 o B. (-4, -15) C. (4. 18) D. (0.1)​

Answers

Answer:

The answer should be C

Step-by-step explanation:

I hope that helps you!

I need help ASAP ! I’ll give anyone 5 stars for the correct answer

Answers

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]

EFGH is a parallelogram. Find the measure of FG and EG

Answers

Answer:

FG = 44

EG = 80

Step-by-step explanation:

For FG:

1) 5z - 16 = 3z + 8

2) 5z = 3z + 24

3) 2z = 24

4) z = 12

5) 3(12) + 8 = 44

For EG:

1) 2w + 22 = 4w + 4

2) 2w = 4w - 18

3) -2w = -18

4) w = 9

5) 4(9) + 4 + 2w + 22 = 80

-3 > t+5/-1
can someone plz solve this inequality

Answers

simplify:

-3 - (-t - 5) > 0

t + 2 > 0

t > -2

I need help with my homework

Answers

Answer:10

Explanation: each number is being divided by 2.
answer 10 it’s being divided by 2 sorry I needed points

can anyone help me pls? i will give brainliest :)

Answers


40? I think I’m sorry!
Could it be 60 degrees? because it looks like an equilateral triangle

PLEASEEEEE SOMEBODY CAN YOU LOOK AT THE ATTACHMENTS ITS MATH IM OFFERING A 69 POINTS

Answers

I don't know sorry but I recommend using quizlet

The area of a rectangular living room is 99 square feet. The width of the room is 9 feet. What is the perimeter of the room?

Answers

First find the length of the room by dividing the area by the width:

99 / 9 = 11

2 walls would be 9 feet and 2 walls would be 11 feet.

Perimeter is the sum of the 4 walls:

11 + 11 + 9 + 9 = 40 feet

Hey guys, please help with my last question, you will be rewarded handsomely with ten points ​

Answers

Answer:

a) 100% = 20 squares

b) 120% = 24 squares

Write an expression for the following statement:

“Twice a number is subtracted from eighteen”

Answers

Answer:

Expression of the statement = 18 - 2x

Answer:

18 - 2x

Step-by-step explanation:

I don’t know what to do

Answers

Answer:

i think it would be the first one i am not 100% sure just a gues

Step-by-step explanation:

Select all the expressions that are solutions to 9 = 1/3x


Answers

Answer:

first and last expressions are correct.

5 more than a number m equals 8

Answers

Answer: m=3

Step-by-step explanation:

This could be written as m+5=8

You would then do the inverse to 'undo' the equation. So instead of adding 5 you would take away 5 from 8.

8-5=3

Hope this helps :)

4/9x6= (write in simplest form)

Answers

Answer:

24/7

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

4      *      6      =       24                       8

9                                 9                         3

prove that the roots of x2+(1-k)x+k-3=0 are real for all real values of k​

Answers

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

Read more about real values at:

https://brainly.com/question/6499629

What is the probability that a six sided dice rolls on the four and the card is a heart

Answers

Answer:

4/6

Step-by-step explanation:

the total time the dice roll over four.. which is also 4/6

A student earned a grade of 80% on a math test that had 35 problems. How
many problems on this test did the student get correct?
Round your answer to the nearest whole.

Answers

Answer:

28

Step-by-step explanation:

Answer:

The student got 28 questions correct and 7 wrong.

The perimeter of a rectangular lawn is 24m. If
the area of the lawn is 35m2; how wide is the
lawn?​

Answers

Answer:

.

Step-by-step explanation:

.///////

Will mark brainliest for any help!

Answers

Answer:

56.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos N = PN / NO

cos 27 = 50/ x

x cos 27 / 50

x = 50/cos 27

x=56.11631188

Rounding to the nearest tenth

x = 56.1

The net of a triangular prism is shown.
14 cm
5 cm
5 cm
6 cm
3 cm
What is the surface area of the prism?
O A. 46 cm
OD. 72 cm
O B. 54 cm
O E. 96 cm
OC. 69 cm

Answers

The answer is 14 and 46cm

Deduce the minimum value of sinx+cosx and give the corresponding values of x, for x E [-360;360]

Answers

The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.

The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.

Here is a procedure, first take a derivative

[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]

Then compute critical points of a derivative

[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].

Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].

You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.

The answer is [tex]-\sqrt{2}[/tex].

Hope this helps.

What is the area of the polygon given below?

A. 55 square units
B. 186 square units
C. 131 square units
D. 66 square units

Answers

Answer:

B. [tex]\displaystyle 186\:square\:units[/tex]

Explanation:

All edges conjoin to form right angles, therefore you have these:

[tex]\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7[/tex]

OR

[tex]\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11[/tex]

I am joyous to assist you at any time.

Find a number so that 93.4% of it is 107.​

Answers

Answer:

~114.56

Step-by-step explanation:

Because you're asked to find the number so that x% is y, we will have to find that number. The equation in that case would be NUM * 0.934 = 107. Divide both sides by .934 to get an answer of approximately 114.56.

Show that 2/4-x = 10/4+x

is equivalent to 12x = 32 for all values of x not equal to 4 or -4

Answers

Answer:

See proof below

Step-by-step explanation:

Given the expression 2/4-x = 10/4+x

Cross multiply

10(4-x) = 2(4+x)

10(4) - 10x = 2(4)+ 2x

40 - 10x = 8 + 2x

-10x - 2x = 8 - 40

-12x = -32

Multiply both sides by -1

-1(-12x) = -1(-32)

12x = 32

This shows the required expression

????????????????????????????

Answers

It would be 12.5 square miles I would appreciate the Brainliest

Please answer quick and just write explanation quick pls hurry quick for brainlessly uu

Answers

Answer:

35 (C)

Step-by-step explanation:

Answer:

B) 30

Step-by-step explanation:

This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.

A quarter falls off a building that is 144

feet tall. If the equation for height as a

function of time is

h(t) = -16t2 + initial height where t is

time in seconds and h(t) is height in

feet, how many seconds will it take for

the quarter to hit the ground?

Answers

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.

Select the statement that describes this expression: fraction 1 over 2 x (734 − 246).

A) Half the sum of 734 and 246
B) fraction 1 over 2 the difference between 734 and 246
C) fraction 1 over 2 the quotient of 734 and 246
D) 2 times the difference between 734 and 246

Answers

The statement to represent the expression is fraction 1 over 2 the difference between 734 and 246. Therefore, option B is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 1/2 ×(734-246)

= 1/2 ×488

= 244

Therefore, option B is the correct answer.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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Which is the solution to the inequality? 2 3/5 <b - 8/15



A. b<2 1/15
B. b>2 1/15
C. b<3 2/15
D. b>3 2/15



PLS NO CHEATING. I RLY NEED THIS. IF U DONT CHEAT I WILL MARK BRAINLIEST​

Answers

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

PLZ HELP I GIVE BRAINLIEST!!!

Answers

Answer:

800 × ( 3.87÷ 100 ) × 1

= 30.96

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