If you draw a card with a value of five or less from a standard deck of cards, I will pay you $7$ 7. If not, you pay me $7$ 7. (Aces are considered the highest card in the deck.) Step 2 of 2 : If you played this game 543543 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.

Answers

Answer 1

Answer:

[tex]Amount = -\$1461.9[/tex]

Step-by-step explanation:

We have the following:

[tex]Total = 52[/tex] --- cards in a standard deck

Represent cards with a value of 5 or less with x

So:  [tex]x = \{2, 3, 4, 5\}[/tex] i.e 4 cards

However, each of these has a frequency of 4.

So: [tex]n(x) = 4\ cards* 4[/tex]

[tex]n(x) = 16[/tex]

The probability is:

[tex]p(x) = \frac{16}{52}[/tex]

The cost of this is:

[tex]C(x) = +\$7[/tex]

Represent cards with a value of above 5 with y

[tex]n(y) = 52 - 16[/tex]

[tex]n(y) = 36[/tex]

The probability is:

[tex]p(y) = \frac{36}{52}[/tex]

The cost of this is:

[tex]C(y) = -\$7[/tex] --- It is negative because you lost

In a game, your expected amount is:

[tex]E = n(x) * C(x) + n(y) * C(y)[/tex]

[tex]E = \frac{16}{52} * (+\$7) + \frac{36}{52} * (-\$7)[/tex]

[tex]E = \frac{16* \$7}{52} - \frac{36* \$7}{52}[/tex]

[tex]E = \frac{\$112}{52} - \frac{\$252}{52}[/tex]

[tex]E = \frac{\$112 - \$252}{52}[/tex]

[tex]E = -\frac{\$140}{52}[/tex]

When you play 543 times, the expected amount is:

[tex]Amount = E * 543[/tex]

[tex]Amount = -\frac{\$140}{52} *543[/tex]

[tex]Amount = -\frac{\$140 *543}{52}[/tex]

[tex]Amount = -\frac{\$76020}{52}[/tex]

[tex]Amount = -\$1461.9[/tex]


Related Questions

A certain television is advertised as a 25-inch TV (the diagonal length). If the width of
the TV is 24 inches, how many inches tall is the TV?

Answers

Answer:

The TV is 7 inches tall.

Step-by-step explanation:

Use the pythagorean theorem.

[tex]a^2 + b^2 = c^2\\24^2 + b^2 = 25^2\\576 + b^2 = 625\\b^2 = 49\\b = 7[/tex]

Answer:

Step-by-step explanation:

I think 600 inches

That is multiplying the 25 by the 24 inches length

I need help on this and I don't know how to do this.

Please Help

Answers

9514 1404 393

Answer:

-8, 36, -5

Step-by-step explanation:

This sort of pattern is used in the factoring of trinomials. Typically, the top quadrant holds the product you're trying to factor. The bottom quadrant holds the sum of the factors. The factors appear on the left and right in no particular order.

__

1) You're looking for factors of -24 that have a sum of -5. It can be useful to simply list the factor pairs. Since you want a negative sum, you may want to start with the most negative factors and work up from there.

  -24 = (-24)(1) = (-12)(2) = (-8)(3) = (-6)(4)

The sums of these factor pairs are -23, -10, -5, -2. Obviously, the pair we're interested in is the one with a sum of -5: (-8) +(3).

So, the left- and right-quadrants are filled with -8 and 3.

  Blank 1 = -8

  Blank 2 = 3

__

2) You are given the factors, so all you need to do is form the product and sum.

  Blank 1 = (-3)(-2) = 6

  Blank 2 = (-3) +(-2) = -5

_____

Additional comment

Any sort of factoring is much easier to do if you have memorized your multiplication tables, preferably through 12×12. It is also helpful if you're familiar with divisibility rules—at least for single-digit numbers. I've seen college students struggle trying to do factoring using a calculator. It's not pretty. Many folks learn their times tables up to 10×10 by the end of 3rd grade.

Answer:

Blank 1: -8

Blank 2: 3

Step-by-step explanation:

Sorry if i'm late on this but it is the same X method concept. -8 and 3 add up to get -5, and they multiply to get -24

x=3y−5 2x+12y=-4 please solve the system of equations and show your work

Answers

sub x = 3y - 5 into equation 2

2(3y - 5) + 12y = -4

6y - 10 + 12y + 4 = 0

18y - 6 = 0

18y = 6

y = 6/18

y = 1/3

sub y = 1/3 into equation 1

x = 3(1/3) - 5

x = 1 - 5

x = -4

Explicit formula for

1,5,3,6,12

Answers

sorry I needed the points!


Solve the system of equations

4x+3y=16
y=x+3
X=
Y=

Answers

First you substitute.

[tex]4x+3(x+3)=16\\4x+3x+9=16\\7x=7\\x=1\\y=4[/tex]

Answer:

x = 1 and y = 4

Step-by-step explanation:

Because y = x + 3 we can substitute 3y with 3(x + 3)

4x + 3(x + 3) = 16

4x + 3x + 9 = 16

7x + 9 = 16

7x + 9 - 9 = 16 - 9

7x = 16 - 9

7x = 7

7x ÷ 7 = 7 ÷ 7

x = 7 ÷ 7

x = 1

Since y = x + 3 and x = 1 y = 4.

1 + 3 = 4

x = 1 and y = 4

Check:

x = 1 and y = 4

1 x 4 + 3 x 4 = 16

4 + 12 = 16

Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive content as it did centuries ago. If this is true, the amount of 14C absorbed by a tree that grew several centuries ago should be the same as the amount of 14C absorbed by a tree growing today. A piece of ancient charcoal contains only 12% as much radioactive carbon as a piece of modern charcoal. How long ago was the tree burned to make the ancient charcoal given that the half-life of 14C is 5700 years? (Round your answer to the nearest whole number.)

Answers

You can download answer here

tinyurl.com/wpazsebu

What is the current value for a future sum of money called?

A. Current value

B. Present value

C. Future value

Answers

The believe the answer is Present Value, I hope this helps!

(no link please)

HELPPP ​

Answers

Ok i think i can help, 90-30=60, and 60/3=20, so the answer would be 70!

i think the answer is 70

Help this is due today

Answers

I already study this so it is B. SAS
Answer C. SAS


Explanation

Charles sells computer hardware for a computer manufacturer. He is paid 4% for
the first $8,000 of sales, 6% on the next $10,000, and 8.5% on sales over
$18,000. What is his commission on $16,250 in sales? *

Answers

Call me 205 579 7799 if u need help because this stuff is easy

PLEASE HELP DUE IN 3 minutes

Answers

Answer: 15 swimmer younger than 30 years old

Step-by-step explanation:

C. There is no other way it can be any of the other two that you chose because the graphs don’t seem to match up that is if I’m looking at it correctly.

what is the best way to describe | -2| ?

Answers

Opposite of 2, It really just means minus 2 so the opposite of 2 would end up being -2

Answer:

2

Step-by-step explanation:

You roll a die. What's the theoretical probability of rolling a number greater than 2?

Answers

Answer: if the dice is six sided you have 4 chances to roll a higher number

Step-by-step explanation:

Answer:

3 in 36

Step-by-step explanation:

assuming a fair die you have three possible odd numbers out of six total possible outcomes so the probability is 0. the prob ability of getting an even number greater than 2 when rolling standard die must be 1/3. The probability of doing both, on two rolls, is 3 in 36, or 1 in 12.

Shiro and Tatiana weighed some pebbles in
science class. They made a line plot to display
their data. Use the line plot to answer

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Of the pebbles that were measured, which weight occurs the least?

Soln.: From the line plot, we can see that 3 ounce occurred once, 3 1/2 ounce occurred 4 times, 4 ounce occurred 3 times, 4 1/2 ounce occurred 5 times, 5 ounce occurred 2 times, 5 1/2 ounce occurred 3 times, 6 ounce occurred 2 times.

Therefore 3 ounce occurred the least.

b) What is the total weight of the pebbles represented by the data?

Soln.: The total weight is:

Total weight = (3*1) + (3 1/2 * 4) + (4 * 3) + (4 1/2 * 5) + (5 * 2) + (5 1/2 * 3) + (6 * 2) = 90 ounce

c)  Is there an outlier in the data set? If so what number is the outlier?

Soln.: There is no outlier in the data set because all the data are close to each other.

Branliest to correct answer please explain how you got your answer :)

Answers

Answer: 25%

Step-by-step explanation:

Let's take our given numbers

20% you win both checkers and chess against your friend

30% you win against your friend in chess

Now we take both probability's 20% and 30%

We are know working with a probability out of 200%

Let's add 20% and 30%

20%+30%=50%

Now 50% of 200% is

25%

Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9, 10}
What is the probability of drawing an even number or a
multiple of 3?

Answers

Answer:

0.7

Step-by-step explanation:

2,3,4,6,8,9,10 are the possible choices.

∴P(even no. or multiple of 3)

= 7/10

Answer:

7/10 or 70%

Step-by-step explanation:

1     no

2     yes

3     yes

4     yes

5     no

6     yes

7     no

8     yes

9     yes

10    yes

7/10 are even or multiples of 3, therefore you have a 70% chance of drawing one of them

Please need help thank

Answers

add all of it

Step-by-step explanation:

toghthet and you will get ur answer

you’re a teacher pay 42 apples

Please help with this.

Answers

Answer:

A and C are the correct options.

2 questions
when can you combine like terms?
when can you NOT combine like terms?

( do not put the definiton of like terms i only need these questions answered)

Answers

Answer:

You can combine like terms when they have the same variable, same category, or same coefficient. You CANNOT combine like terms when they have none of the attributes listed above. For example, you can combine 7x and 20x, just like you can combine 3 and 4, but you can't combine 3x & 5(x^2), or 9x and 73.

✎Question:Amirah is 4 years elder than Priya and Shirley is 2 years younger than Priya. If the sum of their ages is 47, find their respective ages ✔​

Answers

Answer:

Priya's age = 15

Amirah's age = 19

Shirley's age = 13

Step-by-step explanation:

Let x be the age of Priya.

According to the question,

Amirah's age = x + 4

Shirley's age = x - 2

Their sum is 47.

So,

x + 4 + x + x - 2 = 47

3x + 2 = 47

3x = 47 - 2

3x = 45

x = 45/3

x = 15

So,

Priya's age = 15

Amirah's age = 15 + 4 = 19

Shirley's age = 15 - 2 = 13

Answer:

Priya is 15 years old

Amirah is 19 years old and

Shirley is 13 years old

Step-by-step explanation:

let Amirah =x

let Priya = y

let Shirley = s

so we have

x= 4+y

s=y-2

x+y+s =47

we have x= 4+y

4+y+y+s=47

4+2y+s=47

2y+s=43

s-y=-2 (MULTIPLY BY NEGATIVE 1)

y-s =2

2y+s= 43

by solving simultaneously we get

3y= 45

y=15

x= 4+y

x=19

s=y-2

s= 13

so Priya is 15 years old

Amirah is 19 years old and

Shirley is 13 years old

What is 18.5% of 500?

Answers

Answer:

92.5

Step-by-step explanation:

18.5% = 0.185

0.185 x 500 = 92.5

Hope that helps!

Answer: 92 1/2   or   92.5

Step-by-step explanation:

how to solve?

Put it into a percent proportion :D!

Percent proportion is is/of=%/100 or a/w=p/100

The a stands for "part"

and the w stands for "whole"

p stands for "percent"

Is/of=%/100 will help you figure it out if it's in a mathmatical sentence.

Since they did NOT give you what the "is" is, you put the variable "a"

a/   =

Next,

Since it said "of"

You put of underneath the unknown number "is" (a)

a/500=

Now put in the percent

a/500=18.5/100

Now cross multiply!

Then you should get 92.5!

HOPE THIS HELPS :DDD

Find the volume of a pyramid with a square base, where the side length of the base is 10.6\text{ in}10.6 in and the height of the pyramid is 12.3\text{ in}12.3 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

460.7

Step-by-step explanation:

Answer:

460.7

Step-by-step explanation:

it just 460.7

Need help asap!!!! By 1 pm

Answers

Answer: x4

Step-by-step explanation:

How many square feet of outdoor carpet will we need for this hole?

Answers

The feet square of the outdoor carpet you will need for the hole is 30 feet

Answer:

The feet square of the outdoor carpet you will need for the hole is 30 feet.

James think of a two digit number it is a cube number​

Answers

Step-by-step explanation:

64 IS A TWO DIGIT NUMBER WHICH IS THE CUBE OF 4.

ALSO, 64 IS A EVEN NO. WHICH IS DIVISIBLE BY 2.

I’ll give points and brainalist for correct answer

Answers

Answer:

A. 2

Step-by-step explanation:

Circumference of a circle = 2πr

if π = 3.14

and C = 6.28

6.28 = 2(3.14)r

r= 1

d= 2r

d= 2 * 1

d= 2

lol please help !!!!!!!

Answers

51
Do it like you normally would! Don’t let the question confuse you

HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!

Answers

Answer:

[tex](21in,30in)=>210in^2[/tex]

[tex](15in,18in)=>90in^2[/tex]

[tex](15in,30in)=>150in^2[/tex]

Step-by-step explanation:

Required

Match the expressions on the left with the right

(a) 21 in by 15 in

Calculate area

[tex]Area = 21in * 15in[/tex]

[tex]Area = 315in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 315in^2 * \frac{1}{3}[/tex]

[tex]1-third = 105in^2[/tex]

Hence:

[tex](21in,15in)=>105in^2[/tex]

(b) 21 in by 30 in

Calculate area

[tex]Area = 21in * 30in[/tex]

[tex]Area = 630in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 630in^2 * \frac{1}{3}[/tex]

[tex]1-third = 210in^2[/tex]

Hence:

[tex](21in,30in)=>210in^2[/tex]

(c) 15 in by 18 in

Calculate area

[tex]Area = 15in * 18in[/tex]

[tex]Area = 270in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 270in^2 * \frac{1}{3}[/tex]

[tex]1-third = 90in^2[/tex]

Hence:

[tex](15in,18in)=>90in^2[/tex]

(d) 15 in by 30 in

Calculate area

[tex]Area = 15in * 30in[/tex]

[tex]Area = 450in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 450in^2 * \frac{1}{3}[/tex]

[tex]1-third = 150in^2[/tex]

Hence:

[tex](15in,30in)=>150in^2[/tex]

El precio de cada acción de una empresa de tecnología ha presentado a través del tiempo un comportamiento dado por la siguiente función:



Donde t es el tiempo dado en días y A es el precio de la acción inicial cuando t = 0. Un inversionista desea conocer el número de días para el cual el valor de la acción se duplica. Para conocer este resultado, el proceso que se debe realizar es reemplazar f(t) por


A.
A/2, luego, expresar la ecuación en forma de logaritmo natural y ahora despejar t.

B.
2A, luego, expresar la ecuación en forma de logaritmo natural y ahora despejar t.

C.
2A, luego, dividir ambos lados de la ecuación por e y ahora despejar t.

D.
A/2, luego, dividir ambos lados de la ecuación por e y ahora despejar t.

Answers

I will ask you to turn it in english instead of española.

If (3, -5) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?

(3, -5)
(3, 5)
(-5, 3)
(5, -3)

Answers

You just swap the ordered pair units around. It’d be (-5, 3)

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

How to determine which of the following must be an ordered pair of the inverse of f(x)

To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.

Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.

Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:

x = f(y)

Substituting f(3) = -5:

3 = f(y)

Therefore, the inverse function of f(x) is y = 3.

Now, let's check which of the given ordered pairs satisfies the inverse function:

- For (3, -5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.

- For (3, 5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.

- For (-5, 3):

When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.

- For (5, -3):

When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

Learn more about inverse function at https://brainly.com/question/3831584

#SPJ2

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